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1 results

  • Introduction to an Inconsistent World3

  • from Part I - What Are the Paradoxes?
  • Zach Weber, University of Otago, New Zealand
  • Book:
    Paradoxes and Inconsistent Mathematics
    Published online:
    08 October 2021
    Print publication:
    21 October 2021, pp 3-27

  • 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.