concept
active
concept:frege-compositionalityFrege Compositionality
Formal linguistic principle: meaning of a whole depends only on meanings of parts and how they are fitted together (bottom-up meaning flow).
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Papers (1)
paper
- 2022-08-21_Prabros._ACT2022_slides_4223.pdf_890d16associated_with
Thinkers (1)
thinker
- Bob CoeckestudiesLead presenter and primary author of the compositional intelligence framework; affiliated with Quantinuum and Oxford; key figure in quantum diagrammatics and compositional AI theory.
Communities (2)
community
- Compositional Semanticsmembers_of
- Cybernetic Designmembers_of
Claims (1)
claim
- Core assertion that Frege's principle embodies bottom-up composition, while his context principle embodies top-down meaning determination.
Concepts (5)
concept
- Frege's Context Principleassociated_withcontradictsComplementary principle to Frege compositionality: word meaning only meaningful in sentence context (top-down meaning flow).
- Denotational Designassociated_withCore framework: methodology for typed, purely functional programming that uses precise semantic specification to inform both use and implementation
- Compositionalityassociated_withCentral concept: how meaning of wholes depends on meanings of parts and their structural arrangement; multiple formulations explored (Frege, Schrödinger, Whitehead, LEGO).
- Compositional Semanticsassociated_withDenotation function µ decomposes over operations so meaning of compound expressions follows from meanings of parts
- Bottom-up meaning flowassociated_withMeaning constructed from parts to whole, directly following Frege compositionality
Questions (1)
question
- Primary guiding question for the paper; explores multiple formulations and uses of the term.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Strongest form of compositional theory requiring full decomposability and meaningful parts.
- Process theory variant requiring all ingredients have clear meaningful ontological counterparts in reality.
- Modular reasoning enabled by monoid and other algebraic laws; central to maintainability and correctness of functional systems.
- Summary claim listing four types of compositionality distinguished in the talk
- Process theory variant where composition is non-trivial (whole cannot be decomposed meaningfully) and all ingredients have clear ontological counterparts in reality.
- The wiring together of processes to form new processes in process theory
- Variant of compositional theory mentioned in summary; represents rigid, modular composition model.
- Artificial intelligence built on compositional principles, including NLP and beyond