Language writ large: LLMs, ChatGPT, meaning, and understanding. [PDF]
Front Artif IntellHarnad S.
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Roman Law on the Just Price in Nicolaus Bernoulli's Mathematics. [PDF]
Oxf J Leg StudKennefick C.
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Predictive modeling of hepatitis B viral dynamics: a caputo derivative-based approach using artificial neural networks. [PDF]
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Political participation and voluntary associations : A hypergraph case study. [PDF]
PLoS OneAzaiez A, Salot R.
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Analysis of a class of fractal hybrid fractional differential equation with application to a biological model. [PDF]
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LCD-AHP-TRIZ methodology enhances low-carbon principles in smart product design. [PDF]
Sci RepXu HZ, Chen J.
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Category Theory: The Language of Mathematics
Philosophy of Science, 1999 In this paper I argue that category theory ought to be seen as providing thelanguagefor mathematical discourse. Against foundational approaches, I argue that there is no need toreduceeither the content or structure of mathematical concepts and theories to the constituents of either the universe of sets or the category of categories.
Elaine Landry
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Does Category Theory Provide a Framework for Mathematical Structuralism?†
Philosophia Mathematica, 2003 Category theory and topos theory have been seen as providing a structuralist framework for mathematics autonomous vis a vis set theory. It is argued here that these theories require a background logic of relations and substantive assumptions addressing mathematical existence of categories themselves.
Geoffrey Hellman
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BASIC CONCEPTS OF ENRICHED CATEGORY THEORY (London Mathematical Society Lecture Note Series, 64)
Bulletin of the London Mathematical Society, 1983 Peter Johnstone
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