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Introduction to an Inconsistent World3

from Part I - What Are the Paradoxes?

Published online by Cambridge University Press:  08 October 2021

Zach Weber
Zach Weber
Affiliation:
University of Otago, New Zealand
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Summary

This chapter introduces the liar paradox from naïve truththeory, and the central dilemma for solving it: any theory of truthwill be incomplete or inconsistent. Various incompleteness optionsfrom classical and paraconsistent logics are considered. Dialetheicparaconsistency – the idea that there are true contradictions– is introduced as an alternative inconsistent option, andits main logical and philosophical features are presented. Aproblematic fixed point theorem is introduced as a possible key toexplaining the paradoxes.

Keywords

Dialetheismtruth value glutstruth value gapsparaconsistent logicparacomplete logicincompletenessliar paradoxsemantic closurefixed pointsrevenge
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Chapter
Information
Paradoxes and Inconsistent Mathematics , pp. 3 - 27
Publisher: Cambridge University Press
Print publication year: 2021

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