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A note on Russell's paradox in locally Cartesian closed categories

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Publication:914668
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DOI10.1007/BF00370830zbMath0702.03036OpenAlexW1974294638MaRDI QIDQ914668

Elsie Sterbin Gottlieb

Publication date: 1989

Published in: Studia Logica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00370830

zbMATH Keywords

Russell's paradoxcategorical version of the paradoxfragment of Martin-Löf's extensional type theorygeneric morphismlocally cartesian closed category


Mathematics Subject Classification ID

Categorical logic, topoi (03G30) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Second- and higher-order arithmetic and fragments (03F35)


Related Items

Intuitionistic sets and ordinals, A Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points



Cites Work

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  • A note on inconsistencies caused by fixpoints in a cartesian closed category
  • Generalized algebraic theories and contextual categories
  • On the syntax of Martin-Löf's type theories
  • On Church's formal theory of functions and functionals. The \(\lambda\)- calculus: Connections to higher type recursion theory, proof theory, category theory
  • Locally cartesian closed categories and type theory
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