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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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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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Soft category theory -an introduction [PDF]
Journal of Hyperstructures, 2013 The soft category theory offers a way to study soft theories developed so far more generally. The main purpose of this paper is to introduce the basic notions of the theory of soft categories, to present some introductory results of the theory.
S. K. Sardar, Sugato Gupta
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Lax orthogonal factorisations in monad-quantale-enriched categories [PDF]
Logical Methods in Computer Science, 2017 We show that, for a quantale $V$ and a $\mathsf{Set}$-monad $\mathbb{T}$ laxly extended to $V$-$\mathsf{Rel}$, the presheaf monad on the category of $(\mathbb{T},V)$-categories is simple, giving rise to a lax orthogonal factorisation system (lofs) whose ...
Maria Manuel Clementino +1 more
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Axioms, 2021 It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model due ...
Marcoen J. T. F. Cabbolet
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The Axiomatic Approach to Non-Classical Model Theory
Mathematics, 2022 Institution theory represents the fully axiomatic approach to model theory in which all components of logical systems are treated fully abstractly by reliance on category theory. Here, we survey some developments over the last decade or so concerning the
Răzvan Diaconescu
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Does God Think the Same Way We Do? On the Logical Apophatism of Michał Heller
Verbum Vitae, 2023 Apophatic theology is an approach in theology that emphasizes the limitation of human language and concepts in describing the nature of the Divine. Rooted in ancient religious traditions, apophatic theology has gained attention in contemporary discourse
Wojciech Grygiel
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