The Case of Dialetheism

Journal Title: Logic and Logical Philosophy - Year 2016, Vol 25, Issue 2

Abstract

The concept of dialetheia and the claim of dialetheism has been examined and compared to such related concept as contradiction, antinomy, consistency and paraconsistency. Dialetheia is a true contradiction and dialetheism is the claim that there exists at least one dialetheia. It has been observed that dialetheism is equivalent to the negation of the traditional principle of contradiction. Hence, dialetheism itself is no new idea in whatsoever. The novelty of dialetheism consists in the arguments delivered for its case. Key justification the partisans deliver for dialetheism has been examined and evaluated: antinomies, an alleged Gödel’s paradox, and existence of limits of thought. The structure of those arguments has been analyzed. It has been claimed that they share one and the same simple structure which may be called reverse paradox. The vital content dialetheists add to the traditional paradoxes is only the thesis of reliability of the vernacular prima facie knowledge. Three objections have been raised against the justification of dialetheism: firstly, it has been claimed that exactly the same argument supports principle of contradiction, secondly, it has been questioned whether the arguments preserve their value when logic is subject to revision, and thirdly, it has been claimed that the underlying logic of dialetheism is classical.

Authors and Affiliations

Marcin Tkaczyk

Keywords

Related Articles

Informal Fallacies as Abductive Inferences

All who teach logic are familiar with informal fallacies such as ad ignorantium (appeal to ignorance) and ad populum (appeal to popularity). While it is easy to give clear examples of poor reasoning of this sort, instruc...

The Case of Dialetheism

The concept of dialetheia and the claim of dialetheism has been examined and compared to such related concept as contradiction, antinomy, consistency and paraconsistency. Dialetheia is a true contradiction and dialetheis...

Relational semantics for the 4-valued relevant logics BN4 and E4

The logic BN4 was defined by R.T. Brady in 1982. It can be considered as the 4-valued logic of the relevant conditional. E4 is a variant of BN4 that can be considered as the 4-valued logic of (relevant) entailment. The a...

Aristotle's Correspondence Theory of Truth and What Does Not Exist

While nowhere does he use the term to refer to his own theory, Aristotle is often thought to exemplify an early correspondence theory of truth. In the paper, I examine the textual evidence used to support the idea that A...

Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”

The goal of [3] is to sketch the construction of a syntactic categorical model of the bi-intuitionistic logic of assertions and hypotheses AH, axiomatized in a sequent calculus AH-G1, and to show that such a model has a...

Download PDF file
  • EP ID EP201841
  • DOI 10.12775/LLP.2016.012
  • Views 50
  • Downloads 0

How To Cite

Marcin Tkaczyk (2016). The Case of Dialetheism. Logic and Logical Philosophy, 25(2), 203-224. https://europub.co.uk./articles/-A-201841