English

Intuitionism and the liar paradox

Logic 2010-04-14 v1 History and Overview

Abstract

The concept of informal mathematical proof considered in intuitionism is apparently vulnerable to a version of the liar paradox. However, a careful reevaluation of this concept reveals a subtle error whose correction blocks the contradiction. This leads to a general resolution of the classical semantic paradoxes. This paper is an expanded version of parts of my earlier paper "Constructive truth and circularity" [arXiv:0905.1681].

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Cite

@article{arxiv.1004.2239,
  title  = {Intuitionism and the liar paradox},
  author = {Nik Weaver},
  journal= {arXiv preprint arXiv:1004.2239},
  year   = {2010}
}

Comments

13 pages

R2 v1 2026-06-21T15:09:57.344Z