Genetic Epistemology – Jean Piaget

1. Combinativity (Closure/Composition):
Two distinct contiguous elements can be synthesized into a comprehensive category:
A + A’ = B

2. Reversibility (Inversion/Negation):
Every operational transformation can be undone by its direct inverse:
B – A’ = A

3. Associativity:
The structural grouping of operations can vary without altering the final product:
(A + A’) + B’ = A + (A’ + B’)

4. General Identity:
An operation combined with its zero-equivalent leaves the operational state unaltered:
A + 0 = A

5. Special Identities (Tautology and Resorption):
In qualitative logical groupings, repeating an element leaves it unchanged (Tautology):
A + A = A
Combining a subordinate class with its superordinate class absorbs the lower class (Resorption):
A + B = B