Whitehead-Compositional Theory

Process theory where all ingredients have clear meaningful ontological counterparts in reality

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community

concept

Schrödinger Compositional Theory
associated_with
Process theory variant where composition is non-trivial (whole cannot be decomposed meaningfully) and all ingredients have clear ontological counterparts in reality.
Process Theory
associated_with
Foundational framework consisting of systems (wires), processes (boxes), and composition (wirings); basis for quantum and compositional reasoning.
ZX-Calculus
associated_with
Quantum diagrammatic formalism (2007); mentioned as non-example of complete compositionality due to lack of clear ontological counterparts.
ontological counterpart in reality
implements
Ingredients of a compositional theory should directly correspond to things in the real world, per Whitehead compositionality

artifact

2022-08-21 Prabros ACT2022 slides
introduces
Slide presentation on quantum compositional intelligence by Bob Coecke at ACT2022

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Whitehead Compositionalityframework0.885
Process theory variant requiring all ingredients have clear meaningful ontological counterparts in reality.
Whitehead compositionality, Schrödinger compositionality, Complete compositionality, LEGO compositionalityclaim0.809
Summary claim listing four types of compositionality distinguished in the talk
Compositionalityconcept0.752
Central concept: how meaning of wholes depends on meanings of parts and their structural arrangement; multiple formulations explored (Frege, Schrödinger, Whitehead, LEGO).
Frege Compositionalityconcept0.744
Formal linguistic principle: meaning of a whole depends only on meanings of parts and how they are fitted together (bottom-up meaning flow).
Compositional Semanticsconcept0.744
Denotation function µ decomposes over operations so meaning of compound expressions follows from meanings of parts
Complete Compositionalityframework0.739
Strongest form of compositional theory requiring full decomposability and meaningful parts.
Compositional Reasoningconcept0.732
Modular reasoning enabled by monoid and other algebraic laws; central to maintainability and correctness of functional systems.
What is compositionality?question0.731
Primary guiding question for the paper; explores multiple formulations and uses of the term.