Category theory and set theory as theories about complementary types of universals

DOI10.12775/LLP.2016.022zbMath1417.03058OpenAlexW3125124811MaRDI QIDQ4683203

David P. Ellerman

Publication date: 20 September 2018

Published in: Logic and Logical Philosophy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/llp.2016.022

zbMATH Keywords

universalscategory theoryuniversal mapping propertiesPlato's theory of formsset theoretic antinomies

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Axiomatics of classical set theory and its fragments (03E30) Definitions and generalizations in theory of categories (18A05)

Cites Work

• Adjointness in Foundations
• Category Theory
• Groups, Categories and Duality
• On universal mappings and free topological groups
• I.—ON FREGE'S WAY OUT
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