What Sort of Mathematical Structuralism is Category Theory



Year of publication 2018
Type Article in Periodical
Magazine / Source Journal of Applied Logics - IfCoLoG Journal of Logics and their Applications
MU Faculty or unit

Faculty of Economics and Administration

Web http://www.collegepublications.co.uk/downloads/ifcolog00026.pdf
Keywords Mathematical structuralism; Category theory
Description Althought category theory is highly relevant for mathematical structuralism, its relevance does not consist in providing any new general philosophical approach to the philosophy of mathematics. On the contrary, category theory can be naturally interpreted as an exercise in either implicit, formalist, model, universals or modal structuralism -- all of the five most general versions of mathematical structuralism recognized.

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