Formal models of dialectics

This article attempts a structural analysis of dialectics using category theory and set theory. How-ever, the topic extends far beyond structuralism. One possible mathematical formalization ofphilosophy is considered. Despite its detailed presentation, the article represents the beginning ofa potential study. The completeness and consistency of the proposed model remains to be deter-mined. Specific avenues for its philosophical application also need to be explored.Formal models of dialectics, 2026, msc: 03A99 Key words: categories, functors, topos, conjugation, non-standard sequences, Daosizm, Leibniz,Hegel, Berkeley References[1] R. Goldblatt, North-Holland Publishing Company Amsterdam New York Oxford.TOPOI. The categorial analysis of logic., (1979).[2] P.M. Kon, D. Reidel Publishing Company.Universal Algebra, (1961).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-09
DOI
https://doi.org/10.5281/zenodo.18190627
Primary Topic
Philosophy and Theoretical Science
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article
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article

Formal models of dialectics

Volodymyr Zhuravlov
Zenodo (CERN European Organization for Nuclear Research)
Philosophy and Theoretical Science
article

Formal models of dialectics

Volodymyr Zhuravlov
article en

Abstract

This article attempts a structural analysis of dialectics using category theory and set theory. How-ever, the topic extends far beyond structuralism. One possible mathematical formalization ofphilosophy is considered. Despite its detailed presentation, the article represents the beginning ofa potential study. The completeness and consistency of the proposed model remains to be deter-mined. Specific avenues for its philosophical application also need to be explored.Formal models of dialectics, 2026, msc: 03A99 Key words: categories, functors, topos, conjugation, non-standard sequences, Daosizm, Leibniz,Hegel, Berkeley References[1] R. Goldblatt, North-Holland Publishing Company Amsterdam New York Oxford.TOPOI. The categorial analysis of logic., (1979).[2] P.M. Kon, D. Reidel Publishing Company.Universal Algebra, (1961).

Zenodo (CERN European Organization for Nuclear Research)
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Philosophy and Theoretical Science
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