Murray Sidman – 1923 2019

Murray Sidman

  • March 29, 1923, Boston, Massachusetts – May 18, 2019
  • American
  • Radical behaviorism
Scientifically Reviewed · Dr. Marwa Abd-Alazim · November 7, 2026
Medically & Scientifically Reviewed Verified: November 7, 2026
Dr. Marwa Abd-Alazim PhD in Psychology
Faculty Member • University of Kerbala
Review Criteria & Clinical Standards

This content undergoes rigorous scientific peer-review and medical editorial standards at Arab Psychology Network to ensure clinical accuracy, validity, and compliance with evidence-based guidelines from leading psychological and healthcare authorities (APA / WHO).

Key Contributions

  • methodology of single-subject research
  • free-operant avoidance conditioning (Sidman avoidance / non-discriminated avoidance schedule)
  • discovery of stimulus equivalence
  • ethical critique of aversive control

Biography

The history of the experimental analysis of behavior is inextricably linked to the methodological, empirical, and philosophical contributions of Murray Sidman (March 29, 1923 – May 18, 2019). Over a career spanning more than six decades, Sidman reshaped modern psychology by demonstrating that the behavior of individual organisms could be brought under exquisite experimental control without reliance on hypothetical mentalistic constructs or aggregated group-level inferential statistics. His scientific contributions transformed multiple subdisciplines: he formulated the methodology of single-subject research in his classic text Tactics of Scientific Research, uncovered the parameters of free-operant avoidance conditioning via the non-discriminated avoidance schedule that bears his name, established the behavioral foundations of symbolic functioning through his discovery of stimulus equivalence, and mounted a sustained ethical critique of aversive control in Coercion and Its Fallout.

Sidman operated within the philosophical lineage of radical behaviorism pioneered by B. F. Skinner, yet his scholarship possessed an unmistakable independence, intellectual discipline, and methodological elegance. Rather than viewing behavioral science as the formal verification of deductive theories, Sidman practiced an uncompromisingly inductive natural science. He regarded behavioral variability not as an inherent property of biological noise to be washed out through statistical averaging, but as a direct experimental challenge demanding the identification and manipulation of uncontrolled variables. This empirical orientation permitted him to discover robust behavioral phenomena that deductive, group-comparison methodologies had systematically overlooked.

From his early post-World War II education at Columbia University under the mentorship of Fred S. Keller and William N. Schoenfeld, to his clinical and translational appointments at the Walter Reed Army Institute of Research, Massachusetts General Hospital, Harvard Medical School, the Walter E. Fernald State School, the Eunice Kennedy Shriver Center, and Northeastern University, Sidman pursued a unified program of research. His work traversed basic non-human operant laboratories and applied clinical settings serving individuals with developmental disabilities and neurogenic language disorders. The following treatise provides an exhaustive, systematic examination of Murray Sidman’s life, scientific methodology, experimental breakthroughs, conceptual formulations, and enduring philosophical legacy.

1. Biographical Foundations and Academic Formation (1923–1952)

1.1 Early Life and Formative Influences

Murray Sidman was born in Boston, Massachusetts, on March 29, 1923. Growing up during the interwar period and the economic devastation of the Great Depression, Sidman developed an early intellectual seriousness paired with a pragmatic skepticism toward unsubstantiated philosophical assertions. His formative education occurred against the backdrop of profound societal realignment, an era that demanded practical, empirical solutions to human struggles. Sidman’s initial intellectual interests spanned literature, natural philosophy, and the emerging empirical branches of the biological and social sciences. He was drawn to the problem of how living systems adapt to complex, ever-shifting environments, yet he frequently expressed dissatisfaction with the speculative, mentalistic explanations that characterized the academic psychology of the 1930s and early 1940s.

Sidman matriculated into collegiate study with an interest in natural science, but his undergraduate education was decisively interrupted by the geopolitical crisis of the Second World War. Inducted into military service, Sidman encountered the harsh realities of global conflict, an experience that deepened his appreciation for human resilience and laid the emotional foundation for his lifelong antipathy toward arbitrary institutional violence and coercive subjugation. His wartime experiences exposed him to diverse human behavior under extreme environmental stress, reinforcing his nascent intuition that behavioral repertoires are profoundly sculpted by acute environmental contingencies rather than fixed internal predispositions.

Upon his honorable discharge from military service, Sidman resumed his academic pursuits under the provisions of the G.I. Bill. He enrolled at Columbia University in the City of New York, an institution that was rapidly emerging as the intellectual epicenter of a conceptual revolution in experimental psychology. Re-entering university life as a mature, combat-tested veteran, Sidman approached his coursework with heightened focus. He sought an empirical discipline capable of studying the totality of human and animal conduct through direct, repeatable, and objective observation, steering clear of the untestable assumptions that permeated contemporary psychoanalysis and introspectionist schools of thought.

1.2 Graduate Studies at Columbia University

At Columbia University, Sidman earned his Bachelor of Arts in 1947, followed by his Master of Arts in 1949, and his Ph.D. in Psychology in 1952. During this period, the Department of Psychology at Columbia was undergoing an unprecedented transformation orchestrated by Fred S. Keller and William N. Schoenfeld. Keller and Schoenfeld had systematically integrated the operant conditioning principles advanced by B. F. Skinner into an integrated curriculum, an endeavor crystallized in their seminal 1950 textbook, Principles of Psychology. Under the tutelage of Keller and Schoenfeld, Sidman underwent a profound intellectual recalibration. The Columbia School of Behavior Analysis dismantled traditional mentalism, replacing hypothetical faculties of the mind with rigorous, functional analyses of the relationships between environmental stimuli, organismic responses, and reinforcing consequences.

Sidman immersed himself in the laboratory culture of Columbia, which was characterized by continuous empirical debate, handcrafted electromechanical apparatuses, and an unyielding commitment to inductive observation. The departmental environment fostered a small, extraordinarily productive community of graduate students and young scholars who would go on to build the foundations of behavior analysis. Among these peers were Charles B. Ferster, who was concurrently collaborating with Skinner on their encyclopedic catalog of reinforcement schedules, and Nat Schoenfeld, whose conceptual precision influenced Sidman’s analytical writing style. Sidman absorbed the fundamental Columbia doctrine: that order exists within the individual organism and that the task of the experimental psychologist is to demonstrate that order directly without recourse to statistical sleight of hand.

Sidman’s doctoral dissertation, defended in 1952, examined operant conditioning baselines and marked his initial foray into the steady-state behavioral dynamics that would occupy his research for the next fifty years. His doctoral research investigated the properties of operant responding maintained under variable schedules of reinforcement, analyzing how stability could be generated, maintained, and systematically disrupted by localized environmental shifts. Working with automated operant chambers that recorded continuous behavior via cumulative pen recorders, Sidman developed an intimate familiarity with the real-time temporal grain of behavior. He emerged from Columbia not merely as a trained psychologist, but as a consummate experimental epistemologist convinced that psychological science had to be rebuilt from the ground up through direct experimental control.

1.3 The Transition to Professional Experimental Analysis

Following the completion of his doctorate in 1952, Sidman entered a scientific landscape where behavior analysis was struggling to achieve legitimacy within mainstream American academic psychology. Most university departments remained firmly entrenched in the hypothetico-deductive traditions derived from Clark L. Hull or the group-comparison, inferential statistical models pioneered by Ronald A. Fisher. Sidman rejected both paradigms. Instead, he dedicated his post-doctoral research to refining laboratory protocols that elevated individual organism stability above all other methodological criteria. He recognized that if behavior analysis were to survive and supplant mentalism, it needed to demonstrate experimental control so transparent and reproducible that statistical tests of significance would be rendered superfluous.

Sidman’s early post-doctoral investigations focused on schedule-controlled behavior, exploring the nuanced interactions between primary reinforcement schedules and concurrent behavioral baselines. He established protocols wherein single animal subjects—predominantly albino rats and later non-human primates—were studied over weeks, months, and even years. By holding genetic background, nutritional deprivation, and the physical parameters of the experimental chamber constant, Sidman systematically manipulated one independent variable at a time, allowing the organism’s response rate to reach an invariant “steady state” before introducing subsequent manipulations. This work demonstrated that behavioral phenomena often dismissed as biological noise were actually lawful responses to subtle, overlooked schedule parameters.

During these transitional post-doctoral years, Sidman solidified his personal commitment to radical behavioral epistemology. Influenced by Skinner’s philosophical writings, Sidman concluded that private events, such as internal sensations and cognitive states, were not autonomous causal agents of behavior, but collateral products of an organism’s evolutionary and environmental history. Sidman resolved to avoid explanatory fictions. He maintained that a complete science of behavior must account for what an organism does entirely through functional relations between observable behavior and the environment. This epistemological clarity positioned Sidman to tackle one of the most controversial and theoretically fraught challenges of mid-century psychology: the empirical analysis of aversive control and avoidance conditioning.

2. Tactics of Scientific Research: Methodological Epistemology

2.1 Publication and Historical Context of the 1960 Monograph

In 1960, Murray Sidman published what is widely regarded as his methodological masterwork: Tactics of Scientific Research: Evaluating Experimental Data in Psychology. The monograph appeared at a critical juncture in the history of psychology. The discipline was undergoing an aggressive push toward standardization, increasingly demanding that empirical investigations adopt the Fisherian inferential statistical paradigm. Under this reigning methodology, researchers formulated null hypotheses, exposed large cohorts of randomly assigned subjects to differing treatments, and conducted analysis of variance (ANOVA) or student’s t-tests to determine if observed differences were statistically significant at an arbitrary alpha level (e.g., p < 0.05). Psychologists embraced these techniques to endow their discipline with the outward appearance of mathematical rigor.

Sidman viewed this reliance on inferential statistics not as scientific progress, but as an abdication of experimental responsibility. In Tactics, he argued that statistical averaging across groups of heterogeneous subjects systematically obscured the actual functional relations governing the behavior of individual organisms. An aggregated curve representing the “average” learning trajectory of fifty subjects, Sidman observed, often depicted a gradual, continuous transition that did not correspond to the actual behavioral performance of a single subject within the group. The smooth group curve was a mathematical fiction, an artifact of aggregation that concealed the abrupt, step-like transitions characteristic of individual learning. Tactics served as an uncompromising critique of this statistical orthodoxy, providing an alternative blueprint for a science founded on experimental, rather than statistical, control.

The reception of Tactics within the nascent community of the experimental analysis of behavior was immediate and transformative. It provided the explicit methodological manifesto that behavior analysts needed. While Skinner had demonstrated what single-subject research looked like in practice, Sidman provided the pedagogical and philosophical codification of its rules. He demonstrated how an investigator could make valid, highly reliable scientific inferences from the intensive study of single organisms over extended temporal periods. The book quickly became the foundational methodology text for researchers working in operant conditioning laboratories worldwide and served as the epistemological cornerstone for the newly established Journal of the Experimental Analysis of Behavior (JEAB), founded in 1958.

2.2 Single-Subject Research Designs and Steady-State Technology

At the center of Sidman’s methodological philosophy was the conceptualization of the steady-state baseline. Sidman defined a steady state not as the absence of change, but as a condition of ongoing dynamic equilibrium in which the characteristics of an organism’s behavior remain invariant across consecutive experimental sessions. The steady state is the baseline against which the effects of any environmental manipulation must be measured. Sidman articulated the logic of baseline stability with mathematical precision: before an experimenter introduces an independent variable (such as a drug, an altered schedule of reinforcement, or a novel stimulus), the baseline behavior must exhibit minimal variability over a protracted timeframe. Only when stability criteria are met can the researcher attribute subsequent behavioral alterations directly to the experimental intervention.

Sidman directly confronted the prevailing dogma regarding behavioral variability. Traditional psychology treated variability as an intrinsic property of biological organisms, an unavoidable noise that had to be averaged out by increasing sample sizes. Sidman inverted this premise. He argued that variability is not intrinsic to the behaving organism; rather, it reflects an experimental failure on the part of the investigator. When a subject’s behavior fluctuates wildly from day to day under ostensibly identical conditions, that fluctuation signals that extraneous, uncontrolled environmental variables are actively impinging upon the subject. Instead of employing statistical filters to mask this variability, the investigator’s scientific duty is to isolate, identify, and bring those uncontrolled variables under rigorous experimental management. The elimination of behavioral variability through laboratory control is the ultimate proof of functional understanding.

To substantiate scientific claims without inferential statistics, Sidman outlined the methodological criteria for intra-subject and inter-subject replication. He delineated two fundamental replication strategies:

  • Direct Replication: The exact repetition of the experimental manipulation within the same organism over time (e.g., an ABAB reversal design) or across multiple individual organisms within the same apparatus. If an intervention reliably produces the identical behavioral shift upon repeated introductions and removals within an individual, the probability that the effect is an artifact of chance approaches zero.
  • Systematic Replication: The deliberate repetition of an experiment while intentionally varying one or more extraneous conditions (such as species, apparatus, reinforcement parameter, or baseline schedule). Systematic replication determines the external validity and ecological boundaries of a phenomenon. When an effect persists across systematic alterations, its generality is empirically confirmed.

2.3 Philosophical Implications for Inductive Science

The epistemological implications of Tactics of Scientific Research extended far beyond the mechanics of experimental design; they represented a defense of pure inductive inquiry. Sidman mounted an incisive critique of the hypothetico-deductive model championed by Karl Popper and widely adopted by academic psychology. In the hypothetico-deductive framework, scientists are expected to formulate deductive hypotheses derived from overarching theoretical models, test these hypotheses through experimental verification or falsification, and modify the theoretical model accordingly. Sidman argued that this approach constrained the exploratory capacity of science. It compelled researchers to see only what their theories permitted them to see, blinding them to unexpected, serendipitous phenomena that did not fit pre-existing theoretical constructs.

Sidman advocated for a Baconian, inductive approach to behavioral analysis. In this framework, the scientist’s primary responsibility is to interact directly with the subject matter, manipulate environmental parameters systematically, and observe what happens. The scientist’s experimental behavior, Sidman insisted, must be a direct function of the laboratory data. When an investigator notices an anomaly, an unpredicted shift in a cumulative record, or a sudden departure from steady-state stability, the appropriate response is not to discard the data as an outlier, but to alter the course of the experiment to track down the source of the anomaly. Scientific discovery, for Sidman, is an inductive dialogue between the behaving organism and the behaving scientist, wherein the organism perpetually instructs the scientist how to proceed.

The long-term disciplinary impact of Tactics cannot be overstated. It became the methodological bible not only for basic operant researchers studying non-human species, but also for the emerging field of applied behavior analysis (ABA). When pioneers such as Montrose Wolf, Donald Baer, and Todd Risley codified the dimensions of ABA in 1968, they imported Sidman’s steady-state logic, baseline stability criteria, and direct replication paradigms directly into applied settings. The methodology enabled clinical researchers to evaluate the efficacy of behavioral interventions on individual autistic children, psychiatric inpatients, and neurodiverse learners without depriving control groups of life-altering treatments. Sidman’s methodological epistemology proved that rigorous, quantitative, and uncompromising natural science could be conducted at the level of the individual human being.

3. The Paradigm of Free-Operant Avoidance (Sidman Avoidance)

3.1 Mechanics of Non-Discriminated Avoidance

During his early tenure at the Walter Reed Army Institute of Research in the early 1950s, Murray Sidman turned his attention to the empirical analysis of aversive control. At the time, experimental paradigms of avoidance behavior relied almost exclusively on discrete-trial procedures involving explicit exteroceptive warning signals. In a typical shuttle-box or runway experiment, an animal was presented with an auditory tone or visual light (the conditioned stimulus, or CS); after a fixed latency, an electric shock (the unconditioned stimulus, or US) was delivered through the grid floor unless the animal performed an escape-avoidance response, such as jumping across a barrier. These procedures led theorists to conclude that avoidance responding was entirely dependent on the presence of an external warning stimulus that elicited conditioned fear.

Sidman shattered this theoretical consensus in 1953 through his invention and parametric operationalization of the free-operant non-discriminated avoidance schedule—a behavioral paradigm known globally as Sidman Avoidance. Sidman stripped the avoidance environment of all explicit exteroceptive warning stimuli. There were no lights, tones, or mechanical signals to warn the subject that an aversive event was imminent. Instead, the experimental chamber was programmed with two precise, independent temporal intervals:

  • The Shock-Shock (S-S) Interval: The time interval between consecutive, brief electric shocks delivered to the subject in the complete absence of an operant response. For example, if the S-S interval was set to 5 seconds, the subject received a shock every 5 seconds continuously if it did not respond.
  • The Response-Shock (R-S) Interval: The time interval by which the delivery of the next shock was postponed whenever the subject emitted an arbitrary operant response, such as depressing a lever. If the R-S interval was set to 20 seconds, every lever press instantly reset the shock clock, delaying the delivery of the next shock by a full 20 seconds from the exact moment of the response.

Under these parametric contingencies, an organism could completely avoid shocks for indefinitely long periods, provided it emitted the designated operant response at a frequency higher than the R-S interval threshold. The empirical demonstration was staggering: without any external warning signal, rats, dogs, and monkeys rapidly acquired and maintained stable, continuous lever-pressing repertoires over hundreds of experimental hours. The cumulative records generated under Sidman avoidance revealed an extraordinary steady-state regularity. Animals would pace their responses, emitting lever presses at steady, disciplined rates that kept them almost entirely free from electric shock, showing that an exteroceptive warning stimulus was entirely unnecessary for the establishment and long-term maintenance of active avoidance behavior.

3.2 Theoretical Challenges to Two-Factor Theory

The discovery of non-discriminated avoidance dealt a severe blow to the dominant theoretical paradigm of the era: O. Hobart Mowrer’s Two-Factor Theory of avoidance. Mowrer had postulated that avoidance learning required two distinct learning processes: classical (Pavlovian) conditioning, followed by operant conditioning. First, an explicit external warning stimulus paired with shock acquired conditioned aversive properties, eliciting a central emotional state of fear. Second, the organism emitted an instrumental response that terminated the warning stimulus; this response was reinforced by the immediate reduction of conditioned fear. Mowrer’s model posited that fear reduction, mediated by the termination of a visible, audible CS, was the sole primary reinforcer sustaining avoidance behavior.

Sidman avoidance directly undermined the foundations of this two-factor model. Because there was no exteroceptive stimulus to terminate, Mowrer’s mechanism of fear reduction via CS termination was structurally absent from the Sidman paradigm. Proponents of two-factor theory scrambled to preserve the model by proposing that internal, proprioceptive stimuli or the passage of time itself functioned as temporal conditioned stimuli (temporal CSs). Under this view, the internal cues associated with the lapse of time following a lever press became conditioned aversive stimuli as the R-S interval neared expiration, and the response was reinforced by terminating these internal temporal cues.

Sidman found these internal-stimulus explanations to be unfalsifiable mentalistic maneuvers that diverted attention from observable behavioral contingencies. He proposed a radically parsimonious, purely operant interpretation. Sidman argued that the reinforcement for avoidance behavior was not the hypothetical reduction of internal visceral fear, but the direct, measurable reduction in the overall frequency of aversive events. When an organism emits a lever press on an R-S schedule, the objective consequence of that response is a downward shift in shock rate. The organism is sensitive to the global molar contingency: responding produces an environment with fewer shocks per unit of time, whereas not responding produces an environment with a high shock density. Sidman showed that behavior could be directly controlled by shifts in event rates across time, eliminating the need to invent unobservable, hypothetical emotional drive states.

3.3 Cross-Species Generality and Parametric Investigations

Following his initial 1953 publications, Sidman embarked on an exhaustive parametric analysis of free-operant avoidance, systematically mapping how different species and schedules interacted with aversive contingencies. He established the broad phylogenetic generality of the phenomenon, demonstrating sustained non-discriminated avoidance responding in albino rats, mice, pigeons (using treadle-pressing or specialized pecking keys), cats, dogs, rhesus macaques, baboons, and chimpanzees. Across all these diverse taxonomic classes, the fundamental functional relations held invariant: the probability and steady-state rate of avoidance responding were lawful functions of the mathematical ratio between the S-S interval and the R-S interval.

Sidman’s parametric research revealed critical functional relationships governing aversive control:

  • The R-S / S-S Ratio: Responding was most rapidly acquired and most reliably maintained when the R-S interval was significantly longer than the S-S interval (e.g., an S-S of 5 seconds paired with an R-S of 30 seconds). Under such contingencies, the subject experienced immediate temporal relief: a single response purchased a substantial period of safety compared to the rapid shocks delivered during non-responding. When the R-S interval was made shorter than the S-S interval, acquisition failed entirely, as responding actually increased shock density.
  • Shock Intensity and Duration: Sidman varied shock intensity from barely perceptible currents to severe levels. Paradoxically, he discovered that while higher shock intensities initially accelerated acquisition, they also produced profound behavioral disruptions, such as motor freezing and stereotyped escape behaviors that competed directly with the operant lever press. Extremely short, unescapable shocks delivered cleanly through scrambler circuits produced the cleanest steady states.
  • Warm-Up Effects: Sidman documented the famous “warm-up” phenomenon in avoidance baselines: even highly trained subjects frequently received several shocks at the very beginning of an experimental session before settling into their typical, stable, near-zero-shock steady state, indicating that temporal discrimination was re-established dynamically at the onset of each session.

The exquisite stability of the Sidman avoidance baseline caught the attention of the biomedical and pharmaceutical communities. During the late 1950s and 1960s, Sidman avoidance became one of the standard behavioral assays for neuropharmacological screening and psychopharmacological research. At Walter Reed and beyond, researchers used Sidman baselines to evaluate the behavioral toxicity, sedative properties, and clinical efficacy of newly synthesized neuroleptics, tranquilizers, and stimulants. By observing how specific pharmacological compounds disrupted avoidance responding—either by decreasing response rates and causing subjects to absorb shocks, or by inducing psychomotor activation—pharmacologists could distinguish between generalized motor impairment and specific anxiolytic or antipsychotic actions. Sidman’s avoidance paradigm thus provided a rigorous behavioral foundation for the birth of modern neuropsychopharmacology.

4. Systematic Analysis of Aversive Control and Coercion

4.1 Conceptual Development of ‘Coercion and Its Fallout’

Throughout decades of pioneering work on avoidance, escape, and punishment schedules, Sidman spent thousands of hours observing the behavioral and physiological toll that aversive contingencies took on living organisms. He saw that while an animal could be trained to press a lever with mechanical precision to stave off electric shock, the collateral consequences of that training were profound: gastrointestinal ulcers, hypertension, chronic autonomic arousal, profound behavioral rigidity, and explosive bursts of unprovoked aggression. These laboratory observations laid the groundwork for his 1989 socio-philosophical treatise, Coercion and Its Fallout, a work revised and expanded in its 2000 edition that stands as one of the most significant humanist manifestos emerging from the behavioral sciences.

In Coercion and Its Fallout, Sidman synthesized his laboratory data to construct a comprehensive critique of how human societies organize their behavioral control systems. He began with precise taxonomic definitions, distinguishing between the three fundamental forms of operant behavioral control:

  • Positive Reinforcement: A contingency wherein the emission of a response is followed immediately by the presentation of a reinforcing stimulus, resulting in an increase or maintenance of the future frequency of that response. The individual operates in an environment characterized by the expansion of behavioral opportunities and the acquisition of desired outcomes.
  • Negative Reinforcement: A contingency wherein the emission of a response is followed by the termination, reduction, or postponement of an aversive stimulus (as seen in escape and avoidance paradigms). Behavior is maintained entirely to prevent or escape an unpleasant, painful, or threatening state of affairs.
  • Positive Punishment: A contingency wherein the emission of a response is followed by the immediate presentation of an aversive stimulus, resulting in a decrease in the future probability of that response.

Sidman defined coercion as the systemic reliance on negative reinforcement and positive punishment to control behavior. He argued that human civilization—across parenting, formal education, workplace management, institutional religion, and the criminal justice system—is deeply addicted to coercive control. Society defaults to coercion because aversive contingencies provide immediate positive reinforcement to the coercer. When a parent yells at a misbehaving child, a teacher threatens a student with detention, or a supervisor threatens an employee with termination, the disruptive behavior often stops instantly. This immediate cessation of the aversive disruption functions as an immediate, powerful reinforcer for the punisher, ensuring that the punisher will use coercion again in the future. However, Sidman showed that this immediate suppression comes at an immense, catastrophic long-term systemic cost.

4.2 Side Effects of Aversive Control

Drawing directly from basic experimental findings, Sidman dedicated a significant portion of Coercion and Its Fallout to detailing what he termed the predictable “fallout”—the unavoidable collateral side effects that inevitably emerge whenever behavior is regulated through aversive mechanisms. He warned that individuals who employ coercion mistakenly assume that punishment simply erases an undesirable behavior without producing secondary consequences. In reality, aversive control unleashes profound physiological and behavioral disruptions that cannot be contained:

The primary fallout mechanisms identified by Sidman include:

  • Conditioned Emotional Reactions and Visceral Disruption: Any neutral stimulus present during the administration of punishment or aversive avoidance schedules acquires conditioned aversive properties through Pavlovian conditioning. The physical environment, the tools utilized, and most critically, the punishing agent themselves become conditioned aversive stimuli. Organisms exposed to these stimuli experience chronic sympathetic nervous system activation, leading to systemic stress pathologies, gastrointestinal deterioration, immune system suppression, anxiety states, and clinical depression.
  • Escape and Avoidance (Counter-Control): Organisms do not merely submit to aversive contingencies; they are biologically programmed to escape them. When human beings are placed under coercive regimes, their dominant behavioral repertoire becomes focused on escaping the punishing context. This manifests as truancy from school, running away from home, workplace absenteeism, dynamic emotional withdrawal, psychological dissociation, and substance abuse as a chemical escape from aversive realities.
  • Aggressive Retaliation: Experimental laboratory research demonstrates that the delivery of non-contingent or contingent aversive shocks produces reflexive, pain-elicited aggression across species. In human interactions, coercion generates retaliatory counter-control. When escape is physically blocked, the coerced individual will engage in destructive attacks against the punishing agent, the apparatus of control, or innocent bystanders through displaced aggression. Vandalism in schools, rebellions in correctional facilities, and domestic violence are behavioral manifestations of this principle.
  • The Impermanence of Punitive Suppression: Sidman demonstrated that positive punishment does not teach an alternative functional behavior. It merely suppresses the target response while the threat of immediate detection and punishment remains active. The moment the punishing agent leaves the environment, the response probability rebounds via behavioral recovery, often reaching higher rates than before the punitive intervention. Punishment simply teaches individuals how to avoid detection.

4.3 Ethical and Societal Prescriptions

Sidman’s critique of coercion was not simply theoretical; it carried urgent ethical prescriptions for reforming societal institutions. In the domain of education, he lamented that institutional schooling had historically operated almost exclusively on negative reinforcement: children study not for the intrinsic reinforcement of intellectual discovery, but to avoid bad grades, parental condemnation, public humiliation, or social ostracism. This coercive baseline systematically destroys innate curiosity and conditions children to perceive books, classrooms, and teachers as aversive stimuli, resulting in a culture that abandons reading and intellectual growth the moment formal schooling ends.

Similarly, Sidman mounted a devastating critique of the retributive criminal justice system. He argued that the prison apparatus operates on the false premise that escalating the intensity of positive punishment will deter criminal behavior. From an operant perspective, the criminal justice system violates every known principle of effective behavioral modification: the delivery of punishment is profoundly delayed (often occurring months or years after the act), inconsistent in its application, and devoid of concurrent reinforcement schedules for establishing pro-social, adaptive behaviors. Imprisonment simply serves as an intensive training environment where inmates acquire sophisticated counter-control and criminal avoidance repertoires while their pro-social repertoires undergo complete behavioral extinction.

Sidman advocated for a societal shift toward behavioral engineering grounded exclusively in positive reinforcement. He urged that social institutions replace coercive control with enriched environments that provide abundant, non-coercive opportunities for behavioral growth. His writing exerted a transformative influence on the ethical standards of modern applied behavior analysis. Sidman’s arguments provided the intellectual and ethical foundation for the modern Positive Behavioral Interventions and Supports (PBIS) movement and established the ethical mandate within professional organizations, such as the Behavior Analyst Certification Board (BACB), that requires practitioners to exhaustively implement positive reinforcement procedures and functional replacement behaviors before ever considering the deployment of restrictive or aversive practices.

5. The Genesis of Stimulus Equivalence Research

5.1 The Landmark 1971 Study

In 1971, Murray Sidman published a modest, exquisitely designed paper in the Journal of the Experimental Analysis of Behavior titled “Reading and Auditory-Visual Equivalences.” This publication catalyzed a revolution in the behavioral analysis of complex human cognition, symbolic thought, and language. The study grew out of Sidman’s translational work at the Walter E. Fernald State School and the Massachusetts General Hospital, where he was investigating learning deficits in institutionalized individuals with severe intellectual disabilities. The participant in this historic experiment was a 17-year-old microcephalic young man identified as subject E.M., who had been institutionalized for years, had an estimated mental age of under five years, and possessed a limited verbal repertoire.

Prior to the intervention, E.M. could perform simple matching tasks: when presented with a spoken word (e.g., hearing the word “cat”), he could point to the corresponding picture of a cat, an auditory-visual skill acquired through years of speech therapy. However, E.M. was entirely incapable of reading. When shown a printed text word (e.g., “C-A-T”), he could neither point to the corresponding picture nor vocalize the word; the printed visual symbols were completely meaningless to him. Rather than attempting to teach reading through conventional, rote vocal drilling, Sidman implemented an automated, arbitrary matching-to-sample (MTS) procedure designed to establish new conditional discriminations.

Sidman methodically mapped out the conditional relations using clear behavioral notation:

  • Baseline Repertoire (AB): Matching spoken words (Auditory Sample A) to pictures (Visual Comparison B). This baseline was already established in the subject’s repertoire.
  • Trained Relation (AC): Sidman directly trained E.M. to match the spoken words (Auditory Sample A) to the printed visual text words (Visual Comparison C). Using differential reinforcement, E.M. learned to listen to the spoken word “cat” through a speaker and select the printed card reading “C-A-T” from an array of choices.

What followed was an extraordinary empirical discovery. After E.M. had mastered the AC relation (auditory spoken word to visual printed word), Sidman introduced unreinforced probe trials to evaluate whether any untaught behavioral relations had spontaneously emerged. Without a single trial of direct reinforcement or instruction, E.M. successfully exhibited two brand new behavioral repertoires:

  • Emergent Relation (BC): Presented with a visual picture (Sample B), E.M. immediately and accurately selected the corresponding printed text word (Comparison C). This represented reading comprehension without direct instruction.
  • Emergent Relation (CB): Presented with a visual printed text word (Sample C), E.M. immediately selected the corresponding picture (Comparison B).
  • Oral Reading (CD): Furthermore, when shown the printed visual words, E.M. was suddenly able to orally vocalize the correct words aloud (D), a skill that had never been reinforced for those printed stimuli.

Sidman had empirically demonstrated that teaching two conditional relations that shared a common nodal stimulus (A) spontaneously generated at least four emergent, unreinforced conditional relations. The printed word, the spoken word, and the physical picture had somehow become functionally interchangeable for the subject. E.M. had not merely acquired isolated associative responses; he had acquired the symbolic meaning of the written words.

5.2 Evolution of Conditional Discrimination Methodology

The discovery of emergent reading in 1971 propelled Sidman to refine the experimental methodology of conditional discrimination. In a simple operant discrimination, a stimulus ($S^D$) sets the occasion for a response that produces reinforcement. In a conditional discrimination, however, the function of a discriminative stimulus depends upon the presence of an additional, contextual stimulus: the sample stimulus. The paradigm requires an individual to select one comparison stimulus from an array of two or more choices, where the “correctness” of the comparison is conditional upon the sample currently presented.

Sidman advanced beyond the simple two-choice matching tasks common in animal psychophysics by constructing automated, nine-key stimulus display consoles. The participant sat before a matrix of illuminated screens. In a typical trial, the sample stimulus was illuminated on the central screen. The participant was required to emit an observing response—such as directly pressing the center key—which ensured that the individual’s attention was fully oriented toward the sample. Upon the observing response, an array of comparison stimuli appeared on the peripheral keys. Selecting the predefined “correct” comparison produced brief visual or auditory conditioned reinforcers and dispensed tokens or edible rewards, while selecting an incorrect comparison produced an immediate timeout (blackout).

To ensure that emergent behaviors were genuine products of conditional stimulus control rather than experimental artifacts, Sidman established rigorous methodological protocols:

  • Balancing Positional Biases: Comparison stimuli were counterbalanced across the peripheral keys in a pseudorandom sequence across trials, preventing the subject from acquiring simple motor habits, such as perseverating on a specific spatial location.
  • Chance-Level Controls: By expanding the comparison array to include multiple distractors (e.g., three, four, or eight comparison choices), Sidman reduced the probability of chance matching to mathematically negligible levels, ensuring that emergent performances could not be attributed to guessing.
  • Extinction Probes: Emergent relations were tested strictly under extinction conditions—meaning that probe trials received no differential reinforcement whatsoever. This design control was critical: if probe trials were reinforced, the investigator could not determine whether the matching behavior had spontaneously emerged from the prior contingencies or was being rapidly acquired through direct reinforcement during the test itself.

5.3 Initial Theoretical Implications for Verbal Behavior

Sidman’s experimental work on emergent matching challenged the conventional behavioral understanding of language and complex cognition. In 1957, B. F. Skinner had published Verbal Behavior, a brilliant theoretical taxonomy that classified verbal responses into functional operant categories—such as mands, tacts, intraverbals, and echoics—based upon their maintaining variables (deprivation states, non-verbal discriminative stimuli, verbal discriminative stimuli, and formal correspondence). Skinner’s analysis was strictly linear and contingency-based: every verbal operant required explicit reinforcement history to establish its precise functional control.

However, Skinner’s framework struggled to account for the immense generative capacity of human language—what linguists such as Noam Chomsky pointed to as the ability of young children to comprehend and emit novel linguistic constructions that had never been explicitly taught or reinforced. Mainstream cognitive psychology asserted that this generative capacity proved the existence of innate cognitive structures, internal mental representations, and abstract conceptual nodes that could not be explained by behavioral principles.

Sidman’s discovery provided the long-sought behavioral mechanism for symbolic generativity. He demonstrated that symbolic meaning could be operationalized as an experimentally derivable behavioral product of conditional discrimination training. When arbitrary visual, auditory, and tactile stimuli become members of an equivalence class, they acquire functional equivalence: whatever properties are conditioned to one member of the class transfer across the network to all other members without direct instruction. Sidman established that generative verbal functioning did not require researchers to abandon natural science for cognitive mentalism. Instead, it demanded a more sophisticated analysis of stimulus control, paving the way for revolutionary instructional methodologies for non-verbal learners and individuals with profound developmental and cognitive impairments.

6. Mathematical and Behavioral Taxonomy of Equivalence Relations

6.1 Mathematical Grounding via Set Theory

As the empirical data on emergent matching proliferated throughout the 1970s, Sidman recognized the urgent need for a rigorous, formal taxonomy to classify and verify these novel behavioral phenomena. Working in close conceptual collaboration with Peter B. Tailby, Sidman turned to mathematical set theory. In mathematical logic, a relation $R$ on a set is formally defined as an equivalence relation if and only if it satisfies three axiomatic mathematical properties: reflexivity, symmetry, and transitivity. In their landmark 1982 paper, Sidman and Tailby adapted these set-theoretic properties to behavioral conditional discriminations.

The mathematical grounding provided an unambiguous, objective framework for behavior analysts. Prior to this taxonomy, researchers used imprecise language, referring vaguely to “concept formation,” “symbolic comprehension,” or “semantic transfer.” Sidman and Tailby replaced this conceptual ambiguity with a precise operational definition: a network of stimulus-stimulus relations could be declared an equivalence relation—and the stimuli could be designated as an equivalence class—if and only if the behaving organism successfully demonstrated reflexivity, symmetry, and transitivity in unreinforced probe trials following the training of arbitrary conditional discriminations.

This formulation elevated behavioral analysis to a new plane of mathematical precision. It established that emergent cognitive behavior was governed by formal structural properties that could be empirically verified in the laboratory. By importing set theory into the operant laboratory, Sidman created a universal protocol for behavioral scientists studying complex relational learning across subjects, stimuli, and species.

6.2 Reflexivity, Symmetry, and Transitivity Operations

The operational definitions established by Sidman and Tailby (1982) serve as the standard testing protocol in contemporary cognitive psychology and behavior analysis. To demonstrate that a collection of arbitrary stimuli (designated alphabetically as A, B, and C) forms an equivalence class, an experimenter trains a minimal set of baseline conditional discriminations (typically $A to B$ and $B to C$) and subsequently tests for the spontaneous emergence of the following relations:

The three mathematical operations are defined behaviorally as follows:

  • Reflexivity (Identity Matching, $A to A$, $B to B$, $C to C$): The organism, when presented with any sample stimulus from the set, must match it to an identical comparison stimulus in the complete absence of explicit training. This tests whether the organism responds to the conditional property of identity ($A$ is equivalent to $A$). While generalized identity matching is often assumed, it must be experimentally verified, especially in non-human subjects or developmentally impaired populations.
  • Symmetry (Bidirectionality, If $A to B$, then $B to A$): The organism is explicitly trained to select comparison $B$ upon the presentation of sample $A$. In the symmetry test probe, the structural roles of the stimuli are reversed: stimulus $B$ is presented as the novel sample, and the organism must spontaneously select stimulus $A$ from an array of comparisons without reinforcement. Symmetry demonstrates the pure bidirectionality of the learned relation—the organism has not simply learned a unidirectional response chain, but has learned that $A$ and $B$ are mutually related.
  • Transitivity (Emergence across Intermediate Nodes, If $A to B$ and $B to C$, then $A to C$): The organism is explicitly trained on two overlapping conditional discriminations that share an intermediate, “nodal” stimulus ($B$): training $A to B$ and training $B to C$. In the transitivity test probe, the investigator presents sample stimulus $A$ and provides comparison stimulus $C$. If the organism spontaneously selects $C$ without reinforcement, transitivity is confirmed. The organism has bridged the separate training histories through the common node $B$.
  • Combined Equivalence (The Global Equivalence Probe, $C to A$): To provide definitive, simultaneous verification of both symmetry and transitivity within a single behavioral probe, the experimenter presents sample stimulus $C$ and provides comparison stimulus $A$. The $C to A$ relation requires both the backward traversal of the trained links (symmetry) and the cross-nodal inference (transitivity). Successful performance on the unreinforced $C to A$ probe constitutes the empirical gold standard demonstrating that stimuli $A$, $B$, and $C$ constitute an integrated, three-member equivalence class.

6.3 Class Expansion and Contextual Control

Once the mathematical taxonomy was codified, Sidman and his collaborators expanded the empirical boundaries of the paradigm, demonstrating that equivalence classes are not restricted to three stimuli ($A$, $B$, $C$), but can be expanded to encompass four, five, six, or more arbitrary stimuli. By systematically training additional conditional relations with an established class member (for example, training $C to D$ and $D to E$), the entire network of emergent relations expands exponentially. In a 5-member equivalence class ($A, B, C, D, E$), the direct training of only 4 conditional discriminations yields 16 unreinforced emergent relations, illustrating an unprecedented degree of instructional efficiency and cognitive generativity.

Furthermore, Sidman investigated the phenomenon of stimulus class merger. If an individual is independently trained on one three-member equivalence class ($A to B to C$) and a second distinct three-member equivalence class ($D to E to F$), the classes initially remain completely insulated from one another. However, if the experimenter trains a single conditional discrimination linking just one member of the first class to one member of the second class (e.g., training $C to D$), the two previously separate networks instantly merge into a single, unified six-member equivalence class ($A-B-C-D-E-F$). All possible symmetrical, transitive, and combined equivalence relations emerge across all six members instantaneously without further training.

Sidman also introduced the concept of contextual control over equivalence relations, establishing what are known as second-order conditional discriminations. In these advanced paradigms, a background contextual stimulus—such as the color of the screen background, a distinct auditory tone, or an explicit contextual symbol ($X$ versus $Y$)—determines which specific equivalence relations are activated. In the presence of Context $X$, sample $A$ matches to comparison $B$; but in the presence of Context $Y$, sample $A$ matches to comparison $C$. Through contextual control, Sidman demonstrated how the exact same environmental symbols can acquire completely different, flexible meanings depending upon the prevailing social, situational, or linguistic context, mirroring the contextual nuances of natural human language.

7. Sidman’s Theoretical Framework: Equivalence Relations and Behavior

7.1 The 1994 Monograph: ‘Equivalence Relations and Behavior: A Research Story’

In 1994, Sidman published his monumental conceptual synthesis, Equivalence Relations and Behavior: A Research Story. Spanning over 500 pages, the book is unique in the annals of psychological literature: it is simultaneously an exhaustive scientific monograph, an advanced theoretical treatise, and an intimate autobiographical narrative tracing the inductive path of discovery from the 1971 Fernald study through two and a half decades of relentless laboratory investigation. Sidman wrote the monograph to provide a unified theoretical accounting of stimulus equivalence that remained anchored in radical behaviorism while formally rejecting the cognitive paradigms that dominated contemporary psychology.

In Equivalence Relations and Behavior, Sidman formalized the specialized vocabulary of equivalence analysis, carefully addressing critics and clarifying misconceptions. He argued that the emergence of stimulus equivalence was not a trivial lab curiosity, but a fundamental biological process of human learning that required a complete re-evaluation of how behavior analysts conceptualized reinforcement contingencies. The narrative structure of the book deliberately demonstrated the Baconian inductive method: Sidman guided the reader through each unexpected empirical finding, showing how every laboratory anomaly forced the researchers to abandon preconceptions and design new testing paradigms. It stands as an enduring document of scientific honesty and analytical precision.

7.2 Reinforcement Contingency as the Direct Source of Equivalence

The most radical and controversial theoretical proposal advanced in Sidman’s 1994 monograph is his assertion regarding the origin of equivalence relations. Mainstream cognitive scientists, and even some behavior analysts, sought to explain stimulus equivalence by appealing to mediational mechanisms. Cognitive theorists argued that equivalence was mediated by internal mental representations, semantic networks, or an innate symbolic capacity. Other behavioral theorists suggested that equivalence resulted from covert verbal mediating responses—hypothesizing that subjects internally named the stimuli (e.g., whispering “cat”) and that this shared verbal label mediated the emergence of matching behavior.

Sidman rejected all mediational theories, whether cognitive or behavioral. He advanced the radical hypothesis that equivalence relations are a direct, unmediated outcome of the reinforcement contingency itself. Sidman proposed that when a four-term reinforcement contingency ($Sample to Comparison to Response to Reinforcer$) is successfully executed, the contingency does not merely establish a linear directional connection between the sample and the comparison stimulus. Rather, the reinforcement contingency fundamentally binds all participating events into an equivalence relation.

Under Sidman’s conceptual model, the equivalence class is not limited to the sample and comparison stimuli. The reinforcing stimulus ($S^R$) and even the contextual stimuli present during reinforcement become fully integrated members of the equivalence class. Sidman provided empirical data demonstrating that if two completely different sets of conditional discriminations are reinforced using the exact same distinct reinforcing stimulus (e.g., a specific food reward or a unique flashing light), that shared reinforcer can act as a nodal bridge, causing the disparate stimulus sets to spontaneously merge into a unified equivalence class. For Sidman, the reinforcement contingency is intrinsically an “equivalence-generating machine”—it naturally reorganizes an organism’s perceptual world into mutually substitutable networks of environmental events.

7.3 The Debate with Relational Frame Theory (RFT)

Sidman’s direct contingency account of stimulus equivalence ignited one of the most vibrant and sophisticated intellectual debates in modern behavioral science, most notably with Steven C. Hayes and the architects of Relational Frame Theory (RFT), introduced in the late 1980s and early 1990s. The debate centered on whether stimulus equivalence should be viewed as a basic, unanalyzable primitive outcome of reinforcement contingencies (Sidman’s view), or whether it is an acquired, derived behavioral repertoire established through an extensive developmental history of generalized operant conditioning (the RFT view).

The core differences between the two frameworks can be contrasted across several conceptual dimensions:

  • Equivalence as an Intrinsic Function vs. Learned Generalized Operant: Sidman argued that equivalence is a direct, natural biological consequence of reinforcement contingencies. In contrast, RFT argued that equivalence (which RFT termed “arbitrarily applicable relational responding”) is a learned generalized operant—specifically, a relational frame of coordination—acquired in early childhood through thousands of exemplars of naming and bi-directional pointing reinforced by the verbal community.
  • Scope of Relations (Equivalence vs. Non-Equivalence Framing): Sidman’s paradigm focused squarely on mathematical equivalence (relations of identity, sameness, and substitution). Hayes and RFT theorists pointed out that human language involves many relations that are not equivalent: relations of opposition (hot is the opposite of cold), comparison (larger than, smaller than), hierarchy (a dog is a member of canines), and temporality (before, after). RFT claimed that Sidman’s equivalence was merely one specific relational frame among many.
  • The Role of Explicit Verbal Naming: RFT researchers argued that stimulus equivalence is rarely, if ever, demonstrated in non-human animals lacking a verbal history, which they claimed supported the view that equivalence depends upon a pre-existing verbal history of relational framing. Sidman vigorously contested this, pointing to borderline animal demonstrations and maintaining that animal failures were methodological artifacts of apparatus design rather than proof of a cognitive divide.

Far from fracturing behavior analysis, the Sidman-RFT dialectic sparked a golden age of empirical research into verbal behavior and relational learning. Researchers across the globe designed increasingly sophisticated paradigms to test the predictions of both models. Sidman’s conceptual formulations provided the non-negotiable empirical benchmark against which all subsequent theories of human language and symbolic cognition must be judged.

8. Institutional Appointments and Collaborative Networks

8.1 Walter Reed Army Institute of Research (WRAIR)

In 1952, immediately following the completion of his Ph.D. at Columbia, Sidman was recruited to join the Department of Experimental Psychology at the Walter Reed Army Institute of Research in Washington, D.C., where he conducted research until 1959. Walter Reed during the 1950s was an intellectual powerhouse for behavioral pharmacology and physiological psychology. Sidman joined an exceptional cadre of young, brilliant researchers, most notably Joseph V. Brady, who was directing laboratories investigating the neuroendocrine consequences of behavioral stress and emotional conditioning.

At WRAIR, Sidman had access to electromechanical equipment and resources that allowed him to conduct around-the-clock, longitudinal operant testing. It was within these military research facilities that Sidman developed and perfected the non-discriminated avoidance schedule. Collaborating closely with Brady and physiological researchers such as John Mason, Sidman integrated operant methodologies with endocrine assays, tracking how long-term exposure to high-rate avoidance schedules produced severe somatic consequences, such as massive elevations in plasma 17-hydroxycorticosteroid levels, neurochemical depletion, and fatal gastrointestinal ulceration in primate subjects.

The Walter Reed environment allowed Sidman to demonstrate that behavioral schedules had immediate, profound, and quantifiable physiological effects on biological organisms. His work at WRAIR established that psychological stress was not an elusive internal state, but the direct functional consequence of specific environmental contingencies, particularly those involving unpredictable or demanding aversive avoidance schedules. This productive period cemented Sidman’s reputation as an experimentalist of the highest order.

8.2 Massachusetts General Hospital and Harvard Medical School

In 1960, Sidman left the military laboratories of Walter Reed to accept an appointment at Massachusetts General Hospital (MGH) and Harvard Medical School, serving in the Department of Neurology. This marked a deliberate pivot in his career: he sought to bring the experimental analysis of behavior into direct contact with human clinical neurology. At MGH, under the leadership of renowned neurologist Raymond Adams, Sidman established human operant conditioning laboratories designed to analyze the behavioral baselines of patients suffering from severe neurological damage, cerebrovascular accidents, and acquired aphasia.

Sidman was fascinated by the prospect of using operant technology as a diagnostic and rehabilitative tool for neurological disorders. At Harvard Medical School, he interacted with neuroscientists, neurologists, and neuropsychologists, exposing them to the steady-state methods of Tactics. Rather than assessing brain-damaged patients using conventional, psychometric IQ tests or standardized subjective diagnostic batteries, Sidman designed automated matching-to-sample consoles to precisely map the patient’s residual stimulus control repertoires. He demonstrated that patients who were clinically classified as completely non-communicative or deeply aphasic often possessed intact, highly organized non-vocal discriminative networks.

This interdisciplinary cross-pollination between behavioral analysis and clinical neurology proved extraordinarily fruitful. Sidman showed that brain lesions did not wipe out generalized “mental faculties,” but fractured specific, localized conditional stimulus control relations. By breaking down language into discrete, verifiable operant components—auditory-visual matching, visual-visual identity matching, and vocalization—Sidman provided behavioral neurology with an objective, quantitative methodology for assessing and remediating cognitive deficits caused by stroke, trauma, and neurodegenerative disease.

8.3 The E.K. Shriver Center and Northeastern University

While affiliated with Harvard and MGH, Sidman expanded his translational research into institutionalized clinical populations. In the 1960s, he established a research base at the Walter E. Fernald State School in Waltham, Massachusetts, an overcrowded state institution housing individuals with severe intellectual and developmental disabilities. This research operation evolved into the behavioral division of the Eunice Kennedy Shriver Center for Mental Retardation. It was here, within the wards and converted laboratory rooms of Fernald, that Sidman conducted his historic 1971 study on emergent reading with subject E.M.

At the Shriver Center, Sidman built a world-class behavioral research community. He assembled and mentored a team of brilliant, dedicated researchers, most notably Larry T. Stoddard and Harry A. Mackay. Together, they spent decades unraveling the mechanics of conditional discrimination, stimulus equivalence, and pedagogical engineering in populations that traditional public education had written off as ineducable. Sidman transformed the Shriver Center into the global epicenter of stimulus equivalence research, demonstrating that individuals with Down syndrome, severe autism, and profound intellectual deficits could acquire reading, spelling, and mathematical repertoires through computerized, automated equivalence-based instruction.

In 1972, Sidman joined the faculty of Northeastern University in Boston as a full Professor of Psychology, a position he held until his formal academic retirement in 1988, after which he served as Professor Emeritus. At Northeastern, Sidman taught advanced seminars in the experimental analysis of behavior and mentored generations of undergraduate and doctoral students. In his later years, he continued an active affiliation with the New England Center for Children (NECC), collaborating with clinical scientists to apply stimulus equivalence technology to intensive early intervention programs for children with autism spectrum disorders. His academic and institutional career embodied a seamless bridge connecting basic animal operant laboratories, university lecture halls, and clinical facilities serving the most vulnerable sectors of society.

9. Technological Innovations and Experimental Instrumentation

9.1 Automated Apparatus and Operant Chambers

The scientific breakthroughs achieved by Murray Sidman were made possible by his mastery of experimental technology and hardware engineering. In the 1950s and 1960s, commercial psychological testing apparatuses were virtually non-existent; an experimental psychologist was required to be an electrician, a mechanist, and a carpenter. Sidman recognized that the integrity of single-subject research hinged upon eliminating human experimenter bias, human error, and the uncontrolled social variables inherent in manual testing. He demanded absolute automation: every stimulus presentation, response detection, and consequence delivery had to be executed through electromechanical hardware.

Sidman designed and fabricated custom operant chambers equipped with relay-rack logic systems. In his avoidance work at Walter Reed, he engineered specialized shock scramblers—complex electromechanical switching devices utilizing rotary stepping switches and vacuum tubes that rapidly routed electric current across the stainless-steel grid bars of the chamber floor in a constantly cycling, unpredictable sequence. This prevented experimental animals from adopting trivial motor escape strategies, such as standing on one bar or bridging two bars with their feces, ensuring that the aversive stimulus was delivered cleanly and uniformly regardless of the animal’s physical posture.

When he pivoted to human conditional discrimination research, Sidman designed automated visual consoles long before personal computers existed. His nine-key display systems were built using industrial-grade projection readouts (such as IEE rear-projection units) mounted behind microswitches on heavy metal panels. These units were controlled by massive racks of electromechanical telephone relays, stepping switches, paper-tape programmers, and custom transistorized logic circuits. Every trial was automated: the central key illuminated, the subject pressed the key, relays clattered to activate comparison projectors, and internal stepping switches evaluated the correctness of the selection, instantly triggering token dispensers or initiating timed blackout periods. Sidman’s relentless technological standardization ensured that experimental conditions were replicable across laboratories worldwide.

9.2 Titration and Dynamic Threshold Procedures

Beyond the fixed-interval schedules of non-discriminated avoidance, Sidman was a pioneer in the engineering of titration schedules and dynamic response-dependent threshold procedures. In traditional psychophysical and behavioral testing, an experimenter sets an independent variable at a fixed level, measures behavior, manually alters the variable, and measures behavior again—a slow, clumsy process that disrupts the behavioral stream. Sidman asked: how can we design an experimental circuit where the behaving organism continuously regulates the intensity or frequency of the independent variable through its own real-time responding?

In Sidman’s aversive titration procedures, an electric shock was programmed to increase in intensity by a tiny, discrete increment every few seconds (e.g., every 2 seconds). However, if the subject emitted a response on a lever, the electromechanical circuitry instantly stepped down the shock intensity by one increment. Under this contingency, the subject’s continuous rate of responding dynamically balanced the shock intensity at an exact, measurable equilibrium point: the escape threshold. If the animal responded rapidly, the shock intensity was driven down to zero; if the animal rested, the intensity drifted upward until it reached an aversive level that evoked responding.

The applications of Sidman’s titration schedules were profound:

  • Psychophysical Sensory Thresholds: Titration enabled the continuous, objective tracking of an organism’s sensory limits (auditory, visual, or pain thresholds) without the verbal self-reports required in human clinical psychophysics.
  • Behavioral Pharmacology: By placing an animal on an aversive titration schedule and administering analgesic compounds (such as morphine), researchers could observe the titrator move upward to higher shock levels in real time, providing an objective, continuous behavioral measure of drug-induced pain relief versus generalized motor sedation.
  • Sedation and Fatigue Monitoring: The procedure allowed precise measurement of how fatigue, toxicological exposure, and central nervous system depressants degraded the speed and temporal accuracy of an organism’s adaptive responses.

9.3 Cumulative Records and Data Visualization

Throughout his career, Sidman remained an ardent champion and master interpreter of the cumulative record. Invented by B. F. Skinner, the cumulative recorder was an electromechanical device wherein a continuous strip of paper was pulled beneath a moving inking pen at an invariant motor-driven speed. Each time the subject emitted an operant response, the pen stepped upward by a micro-increment. When the pen reached the top of the paper, it instantly reset to the bottom. The resulting visual curve preserved the continuous, real-time temporality of behavior: the slope of the line represented the exact response rate (horizontal = zero responding; steep vertical = high response rate), while downward pen deflections marked reinforcement delivery.

Sidman mounted an uncompromising critique of modern psychology’s reliance on static data visualization, such as bar graphs, mean response rates, and pre-post intervention snapshots. He argued that averaging response rates across a 60-minute session obliterated the vital microscopic details of behavior. A session average of 30 responses per minute could represent a steady, continuous 30 responses per minute throughout the hour; alternatively, it could represent an animal responding at a frantic 120 responses per minute for 15 minutes and sitting completely dormant for the remaining 45 minutes. These two patterns reflect entirely different psychological processes, yet statistical averaging treats them as identical.

Sidman trained generations of scientists to read cumulative records like skilled cardiologists reading an electrocardiogram. He showed that every subtle shift in slope, every pause, every burst, and every post-reinforcement deceleration told a lawful story about how stimulus control was waxing, waning, or stabilizing in real time. For Sidman, preserving the temporal continuity of behavior was an ethical and scientific mandate. He maintained that behavior was a continuous biological process unfolding through time, and to compress it into static, aggregated statistical tables was to destroy the subject matter of psychology itself.

10. Applications in Developmental Disabilities and Pedagogical Engineering

10.1 Equivalence-Based Instruction (EBI)

The theoretical insights that Murray Sidman generated through his basic laboratory research on conditional discriminations directly birthed the field of Equivalence-Based Instruction (EBI). Prior to Sidman’s work, educational interventions for individuals with severe developmental disabilities, such as autism spectrum disorder and Down syndrome, relied overwhelmingly on rote, trial-and-error associative drill programs. Instructors manually taught every single connection: to teach a child to read a word, point to a picture, and vocalize the word, teachers had to independently instruct and reinforce each link separately—a grinding, inefficient process that frequently stalled.

EBI revolutionized pedagogical engineering by exploiting the mathematical properties of equivalence relations to maximize instructional efficiency. In an EBI curriculum, educators strategically identify the minimum number of conditional relations that must be directly taught to catalyze the emergence of untaught, generative repertoires. For instance, in teaching basic literacy and numeracy:

  • The educator directly trains the student to match a dictated spoken word (A) to a printed visual text word (B).
  • The educator directly trains the student to match the printed visual text word (B) to a real-world object or picture (C).
  • Without any further training, the student demonstrates the unreinforced emergence of:
    • Spoken word to picture matching ($A to C$)
    • Picture to printed text matching ($C to B$, reading comprehension)
    • Printed text to spoken word naming ($B to A$, oral decoding)
    • Picture to spoken word naming ($C to A$, expressive tacting)

Through EBI, instructional efficiency scales exponentially. For every $N$ stimuli integrated into a class, directly training only $N – 1$ relations generates $N(N – 1) – (N – 1)$ untaught emergent relations. Sidman’s students and colleagues implemented EBI curricula across schools and institutions worldwide, successfully teaching generative reading, complex fraction mathematics, auditory musical comprehension, currency exchange, and scientific taxonomy to non-verbal learners who had previously failed under conventional educational methodologies.

10.2 Errorless Learning and Stimulus Shaping Collaborations

In developing pedagogical technologies at the Shriver Center and Fernald State School, Sidman recognized that individuals with intellectual disabilities were exceptionally vulnerable to the catastrophic side effects of instructional failure. In traditional trial-and-error teaching, when a learner selects an incorrect stimulus, the teacher withholds reinforcement or administers corrective verbal feedback. For many neurodiverse individuals, repeated errors generate intense emotional distress, aggressive outbursts, self-injurious behavior, and complete task avoidance—the exact coercive fallout Sidman had identified in his basic research.

To eliminate these destructive side effects, Sidman integrated and expanded the errorless learning paradigms originally pioneered by Herbert Terrace. In collaboration with Larry Stoddard and his research team, Sidman engineered stimulus shaping and stimulus fading procedures for matching-to-sample curricula. Rather than forcing a child to guess between competing stimuli, the experimental apparatus initially made the correct comparison stimulus visually unmistakable (for example, displaying the correct choice at high illumination while distractors were completely dark). Over successive successful trials, the illumination, size, and topographical features of the distractors were gradually, mathematically faded in, transferring stimulus control smoothly from the physical prompt to the critical discriminative dimensions of the stimuli.

Sidman and Stoddard proved that complex, abstract visual and auditory conditional discriminations could be established with virtually zero learner errors. By stripping the educational environment of mistakes, EBI eliminated the behavioral extinction bursts, frustration-elicited aggression, and classroom avoidance that plagued conventional special education. Sidman demonstrated that learning failure was not an inherent defect located inside the child’s damaged brain, but a defect located in the educator’s stimulus presentation sequence. When the instructional program was engineered with behavioral precision, the learner succeeded without aversive fallout.

10.3 Clinical Applications in Neurogenic Communication Disorders

Sidman’s translational vision extended beyond developmental disabilities to the rehabilitation of adults who had lost language functions due to neurogenic trauma. Working at Massachusetts General Hospital, Sidman applied his stimulus equivalence framework to the clinical assessment and cognitive remediation of individuals suffering from acquired aphasia resulting from left-hemisphere cerebrovascular accidents (strokes) or traumatic brain injuries.

Traditional clinical aphasiology categorized patients using broad, medicalized typologies such as “Broca’s aphasia” or “Wernicke’s aphasia,” relying on subjective clinical ratings of conversational speech. Sidman approached the aphasic patient as a broken network of stimulus-stimulus equivalence relations. He constructed systematic equivalence test matrices to precisely map which specific nodes within the semantic network had been severed:

  • Could the patient match an auditory sample to an identical auditory comparison ($A to A$, auditory phonemic reflexivity)?
  • Could the patient match an auditory spoken word to a visual printed word ($A to C$, auditory-visual comprehension)?
  • Could the patient match a visual picture to a printed text word ($B to C$, visual-visual semantic reading)?
  • Could the patient emit an oral naming response when shown a visual picture ($B to D$, vocal tacting)?

By identifying the exact point of functional disruption, Sidman and his clinical collaborators designed targeted equivalence training protocols to remap the patient’s language network. If the direct auditory-visual link ($A to C$) was severed by a stroke, but the visual-visual links ($B to C$) and auditory-pictorial links ($A to B$) remained intact, clinicians could use the intact pictorial node ($B$) to rebuild the severed comprehension link through transitive emergence. Sidman’s work laid the foundational architecture for modern computerized cognitive rehabilitation software, demonstrating that behavioral engineering could actively guide neuroplastic recovery and restore functional communication to individuals trapped inside neurogenic language deficits.

11. Philosophical Stance: Radical Behaviorism and Inductive Inquiry

11.1 The Baconian Epistemology of Behavioral Science

Throughout his career, Murray Sidman remained an unyielding proponent of what can be termed a Baconian epistemology of behavioral science, tracing his philosophical lineage back to Francis Bacon’s Novum Organum and forward through B. F. Skinner. In this philosophical framework, the ultimate goal of science is not the construction of elaborate, metaphysical theoretical systems, but the direct demonstration of *control and prediction over natural phenomena*. Sidman argued that true scientific understanding exists only when an investigator can turn a natural event on and off with the precision of an engineer flipping an electric switch.

Sidman held an attitude of absolute intellectual humility before empirical data. He was famous for articulating and practicing the core behavioral maxim: “The organism is always right.” When an animal in an operant chamber or a child in a special education classroom failed to perform in the manner anticipated by the experimenter’s hypothesis, Sidman maintained that it was intellectually bankrupt to blame the subject, call the animal “stupid,” or diagnose the child as “unteachable.” The behaving organism is simply responding lawfully to the prevailing environmental contingencies. If the behavior diverges from the scientist’s expectation, it is the scientist who is ignorant—the scientist has failed to identify, understand, or control the relevant environmental variables.

This inductive posture demanded that behavioral scientists abandon academic dogmatism. Sidman insisted that researchers must resist the psychological temptation to fall in love with their own theories. In his laboratory, when the cumulative pen trace deviated from theoretical predictions, Sidman discarded the theory and followed the data. This absolute subservience to empirical observation was precisely what enabled him to discover non-discriminated avoidance and stimulus equivalence—phenomena that would have been dismissed as statistical noise or experimental anomalies by investigators constrained by rigid, deductive theoretical models.

11.2 Rejection of Hypothetico-Deductive Modeling

Sidman’s philosophical writing contained an enduring critique of the hypothetico-deductive method and premature mathematical modeling in psychology. He observed that academic psychology suffered from an inferiority complex relative to theoretical physics, leading psychological researchers to prematurely construct grand mathematical formulations and abstract cognitive flowcharts long before they had established basic, reproducible control over their subject matter.

Sidman pointed out that physics did not begin with the abstract formulations of quantum mechanics or general relativity; it began with centuries of painstaking inductive observation by figures such as Galileo and Brahe, who meticulously rolled balls down inclined planes and charted the visible paths of celestial bodies. Psychology, Sidman argued, was attempting to leap directly to its theoretical pinnacle without doing the foundational empirical spadework. Theorists routinely invented unobservable cognitive constructs—”executive functioning modules,” “short-term memory buffers,” and “generalized drive states”—to paper over their complete lack of experimental control over individual behavior.

Furthermore, Sidman demonstrated that hypothetico-deductive hypothesis testing encouraged perverse scientific incentives. When a scientist’s career is invested in verifying a specific deductive hypothesis, the scientist is subconsciously motivated to overlook contradictory data, design experiments that bias outcomes toward confirmation, and discard non-conforming individual subjects as statistical outliers. In stark contrast, Sidman’s inductive methodology preserved individual-organism fidelity over group-averaged standard deviations. For Sidman, a science of behavior that could not predict and control the behavior of an individual organism sitting before the experimenter was not a science at all.

11.3 Determinism, Agency, and Behavioral Humanism

The philosophical framework that guided Murray Sidman’s life was an uncompromising, deterministic radical behaviorism that was profoundly compassionate and humanistic. To the uninitiated, the doctrine of universal determinism—the assertion that every human action, thought, and word is completely determined by evolutionary biology, environmental contingencies, and historical learning schedules—can appear cold, mechanical, and fatalistic. Sidman turned this critique on its head, demonstrating that radical determinism is the absolute prerequisite for behavioral humanism and social progress.

Sidman argued that the traditional belief in uncaused, autonomous “free will” is actually the primary barrier to humanitarian social reform. If an individual who commits a violent crime, a child who fails to learn in school, or a person suffering from clinical depression possesses an autonomous, uncaused will, then society is entirely justified in blaming, condemning, and punishing that individual for their moral failure. Autonomous free will serves as the philosophical justification for retributive cruelty and coercive punishment. Conversely, once society embraces determinism—acknowledging that the criminal, the failing student, and the depressed individual are responding lawfully to toxic, impoverished, or coercive environmental contingencies—the moral imperative shifts completely. We can no longer punish the individual; we are compelled to redesign the environment.

In Sidman’s humanist vision, freedom is not the absence of physical causation; freedom is the complete absence of coercive and aversive control systems. A person who acts solely under the threat of negative reinforcement and positive punishment is enslaved, even if they possess the legal illusion of political liberty. A truly free society is one engineered so thoroughly through rich networks of positive reinforcement that individuals engage in pro-social, creative, and intellectual repertoires because those repertoires generate genuine, non-coercive reinforcing outcomes. Murray Sidman viewed the experimental analysis of behavior not as an instrument for authoritarian subjugation, but as humanity’s ultimate liberating science—an empirical tool capable of dismantling the machinery of coercion and unlocking the constructive potential of the human species.

12. Professional Honors, Passing, and Posthumous Legacy (1923–2019)

12.1 Major Honors, Awards, and International Leadership

Throughout his long and distinguished career, Murray Sidman was recognized by scientific societies worldwide for his transformative contributions to experimental psychology, behavioral methodology, and human welfare. His work within the scientific community was marked by service and leadership. In 1958, Sidman was one of the founding architects of the Journal of the Experimental Analysis of Behavior (JEAB), serving on its initial editorial board and later as its review editor, setting the editorial standards of rigor, clarity, and inductive reasoning that defined the journal for decades.

Sidman received the most prestigious honors conferred within the behavioral sciences. The Society for the Experimental Analysis of Behavior (SEAB) awarded him its distinguished contributions award for his lifetime of foundational laboratory research. The Association for Behavior Analysis International (ABAI) recognized his immense disciplinary contributions by presenting him with the Distinguished Service to Behavior Analysis Award, celebrating his role in formalizing single-subject research design and pioneering equivalence-based instruction. He was repeatedly elected as an invited fellow of the American Psychological Association (APA, Division 25) and the Association for Psychological Science (APS).

Sidman’s scientific stature was international. He was awarded honorary doctorates and honorary professorships from universities across Europe and South America. His influence was especially profound in Brazil, where he forged deep scholarly partnerships with pioneering behavioral researchers at the University of São Paulo and the Federal University of São Carlos. Brazilian psychologists embraced Sidman’s stimulus equivalence technology, building an extensive research infrastructure that applied his work directly to national literacy and public education programs. Sidman traveled extensively, lecturing across the world and demanding intellectual honesty and methodological rigor wherever he spoke.

12.2 Mentorship Heritage and Scholarly Tree

Murray Sidman’s lasting impact is directly visible in the generations of scientists, clinicians, and educators he trained and mentored throughout his academic appointments at Columbia, Walter Reed, Harvard Medical School, the Shriver Center, and Northeastern University. As a mentor, Sidman was legendary for his exacting standards, analytical precision, and refusal to tolerate sloppy thinking or conceptual shortcuts. He read his students’ manuscripts with a red pen that spared nothing, relentlessly demanding that every assertion be defended by direct empirical reference to laboratory data rather than theoretical hand-waving.

His scholarly lineage spans an extraordinary roster of behavioral pioneers. Researchers such as Larry T. Stoddard, Harry A. Mackay, William J. McIlvane, and Richard W. Serna carried forward his work on stimulus equivalence and developmental disabilities, expanding the boundaries of pedagogical engineering. His students went on to occupy leadership chairs in university departments, establish applied behavioral research institutes, direct autism intervention centers, and edit major psychological journals. Sidman imparted to his intellectual heirs an abiding respect for the individual organism, an intolerance for explanatory fictions, and an unwavering belief in the power of experimental analysis to solve seemingly intractable human problems.

Furthermore, Sidman’s influence transcended his direct laboratory students. Thousands of researchers who never met him in person were mentored through his writing. Tactics of Scientific Research served as an intellectual parent to generations of experimentalists, teaching them how to see order in behavioral baselines, how to design clean reversal experiments, and how to maintain scientific integrity in an academic publishing ecosystem often dominated by p-hacking, publication bias, and group-averaged statistical illusions. His clear, unadorned prose style remains an exemplar of scientific writing.

12.3 Death in 2019 and Contemporary Disciplinary Relevance

On May 18, 2019, Murray Sidman passed away at the age of 96, bringing to a close an extraordinary lifespan that bridged the origins of operant conditioning to the modern era of cognitive neuroscience and global applied behavior analysis. His passing prompted an outpouring of international commemorations across psychological and medical journals, with memorial symposia held at scientific conferences across North America, Europe, and South America. Scholars mourned the loss of one of the last towering giants of mid-century behavioral science, a figure who had stood shoulder-to-shoulder with Skinner, Keller, and Schoenfeld.

In the contemporary scientific landscape, Sidman’s work remains vibrant, vital, and increasingly relevant. In cognitive neuroscience and neurobiology, researchers utilizing functional magnetic resonance imaging (fMRI) and event-related potentials (ERPs) routinely employ Sidman’s stimulus equivalence paradigms to track how the human brain dynamically forms semantic networks and cross-modal symbolic associations. The emergent relations that Sidman first documented with a microcephalic teenager in 1971 are now being mapped directly onto localized cortical activations and functional neural pathways, confirming that his behavioral constructs captured objective, biological reality.

Moreover, in our contemporary era of sociopolitical volatility, educational crisis, and punitive institutional policy, Sidman’s Coercion and Its Fallout reads not as an artifact of the twentieth century, but as an urgent, prophetic roadmap for societal survival. As contemporary societies struggle with mass incarceration, educational burnout, institutional distrust, and reactive political polarization, Sidman’s profound demonstration of the inescapable, destructive fallout of aversive control stands as an unassailable scientific truth. Murray Sidman showed humanity that order, reason, and compassion are not mutually exclusive—that by understanding the lawful determinism of behavioral science, we can abandon the cruel machinery of coercion and construct an ethical, humane world built entirely upon the life-affirming dynamics of positive reinforcement.

Conclusion

Murray Sidman’s journey through twentieth- and twenty-first-century psychology represents an unyielding quest to uncover the objective laws governing the behavior of living organisms. From his early formulation of the non-discriminated avoidance schedule to his methodological masterwork Tactics of Scientific Research, Sidman demonstrated that psychological science could achieve mathematical precision without sacrificing the integrity of the individual subject. His conceptualization and empirical demonstration of stimulus equivalence solved one of the oldest enigmas of philosophy and linguistics: how arbitrary, disparate environmental events become functionally equivalent symbols endowed with semantic meaning. By grounding symbolic behavior directly in the mechanics of reinforcement contingencies, Sidman unified operant conditioning with higher-order human cognition.

Beyond his technical and methodological achievements, Sidman was an ethical visionary. His profound analysis of the toxic collateral consequences of negative reinforcement and punishment transformed the ethical conscience of behavior analysis, providing the scientific bedrock for contemporary movements toward positive behavioral supports and trauma-informed care. Sidman’s legacy is preserved in every computerized classroom that utilizes errorless equivalence-based instruction to teach a non-verbal child to read, in every laboratory that evaluates steady-state baselines without statistical obfuscation, and in every ethical practitioner who refuses to resort to coercive subjugation to manage human conduct. Murray Sidman proved that a natural science of behavior, practiced with unyielding inductive rigor and deep humanistic compassion, possesses the transformative power to enlighten human understanding and elevate the human condition.

References

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  • Mowrer, O. H. (1947). On the dual nature of learning—a re-interpretation of “conditioning” and “problem-solving”. Harvard Educational Review, 17(2), 102–148.
  • Sidman, M. (1953). Two temporal parameters in the maintenance of avoidance behavior by the white rat. Journal of Comparative and Physiological Psychology, 46(4), 253–261. https://doi.org/10.1037/h0060730
  • Sidman, M. (1953). Avoidance conditioning with brief shock and no exteroceptive warning signal. Science, 118(3058), 157–158. https://doi.org/10.1126/science.118.3058.157
  • Sidman, M. (1955). Technique for assessing the effects of drugs on timing behavior. Science, 122(3176), 925. https://doi.org/10.1126/science.122.3176.925
  • Sidman, M. (1960). Tactics of scientific research: Evaluating experimental data in psychology. Basic Books.
  • Sidman, M. (1962). Reduction of shock frequency as reinforcement for avoidance behavior. Journal of the Experimental Analysis of Behavior, 5(2), 247–257. https://doi.org/10.1901/jeab.1962.5-247
  • Sidman, M. (1971). Reading and auditory-visual equivalences. Journal of Speech and Hearing Research, 14(1), 5–13. https://doi.org/10.1044/jshr.1401.05
  • Sidman, M. (1989). Coercion and its fallout. Authors Cooperative.
  • Sidman, M. (1994). Equivalence relations and behavior: A research story. Authors Cooperative.
  • Sidman, M. (2000). Equivalence relations and the reinforcement contingency. Journal of the Experimental Analysis of Behavior, 74(1), 127–146. https://doi.org/10.1901/jeab.2000.74-127
  • Sidman, M., & Tailby, W. (1982). Conditional discrimination vs. matching to sample: An expansion of the testing paradigm. Journal of the Experimental Analysis of Behavior, 37(1), 5–22. https://doi.org/10.1901/jeab.1982.37-5
  • Skinner, B. F. (1938). The behavior of organisms: An experimental analysis. Appleton-Century.
  • Skinner, B. F. (1957). Verbal behavior. Appleton-Century-Crofts.

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