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question:compositional-reasoning-beyond-aristotleCompositional reasoning beyond Aristotle?
Secondary research question examining whether compositional frameworks can transcend classical logic.
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- Modular reasoning enabled by monoid and other algebraic laws; central to maintainability and correctness of functional systems.
- Denotation function µ decomposes over operations so meaning of compound expressions follows from meanings of parts
- Artificial intelligence built on compositional principles, including NLP and beyond
- Alexander's thesis that wholeness and the fifteen properties are objectively real, not artifacts of cognition, and are fundamental to physics and biology.
- Referenced for Aristotelian science, practical wisdom, and formal/final causation; contrast to modern Newtonian paradigm.
- Defining property of Schrödinger compositional theory
- Language model reasoning tasks with cyclic geometric structure used to test manifold steering.