Intuitionism and the liar paradox

Details Intuitionism and the liar paradox Intuitionism and the liar paradox

2010-04-13

arxiv.org/abs/1004.2239v1

Mathematics

Logic

13 pages

Scientific paper

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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