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What is category theory to cognitive science? Compositional representation and comparison [PDF]
Frontiers in Psychology, 2022 Category theorists and cognitive scientists study the structural (analogical) relations between domains of interest albeit in different contexts, that is, formal and psychological systems, respectively.
Steven Phillips
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Category Theory In Geography? [PDF]
Quaestiones Geographicae, 2015 Is mathematical category theory a unifying tool for geography? Here we look at a few basic category theoretical ideas and interpret them in geographic example. We also offer links to indicate how category theory has been used as such in other disciplines.
Arlinghaus Sandra L., Kerski Joseph
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A category theory perspective on the Language of Thought: LoT is universal [PDF]
Frontiers in PsychologyThe Language of Thought (LoT) hypothesis proposes that some collections of mental states and processes are symbol systems to explain language-like systematic properties of thought.
Steven Phillips
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Category Theory in Coq 8.5 [PDF]
International Conference on Formal Structures for Computation and Deduction, 2015 We report on our experience implementing category theory in Coq 8.5. The repository of this development can be found at https://bitbucket.org/amintimany/categories/.
Jacobs, Bart, Timany, Amin
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Could ∞-Category Theory Be Taught to Undergraduates? [PDF]
Notices of the American Mathematical Society, 2023 The extension of ordinary category theory to $\infty$-categories at the start of the 21st century was a spectacular achievement pioneered by Joyal and Lurie with contributions from many others. Unfortunately, the technical arguments required to solve the
E. Riehl
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An Enriched Category Theory of Language: From Syntax to Semantics [PDF]
La Matematica, 2021 State of the art language models return a natural language text continuation from any piece of input text. This ability to generate coherent text extensions implies significant sophistication, including a knowledge of grammar and semantics. In this paper,
T. Bradley +2 more
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MultiCategory: Multi-model Query Processing Meets Category Theory and Functional Programming [PDF]
Proceedings of the VLDB Endowment, 2021 The variety of data is one of the important issues in the era of Big Data. The data are naturally organized in different formats and models, including structured data, semi-structured data, and unstructured data. Prior research has envisioned an approach
Valter Uotila +5 more
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Compounds, 2023 “Mathematical chemistry” as an academic field is said to have been proposed by Weyl in the 20th century as a way of thinking that abstracts and expresses “variables”, “symbols” and “functions” [...]
Takashiro Akitsu
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Category theory and organic electronics
Physics Open, 2023 Inorganic semiconductors and conducting polymers are described by band conduction models with delocalized electrons, whereas small-molecule organic compounds are described by hopping conduction between localized molecular orbitals.
Jun-ichi Takahashi
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Acta Crystallographica Section A: Foundations and Advances, 2021 An invitation to applied category theory seven sketches. p d f an invitation to applied category theory seven. sevensketchesinpositionality. an invitation to applied category theory seven sketches. an invitation to applied category theory seven sketches.
B. Stöger
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