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

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...

Simple cut elimination proof for hybrid logic

In the paper we present a relatively simple proof of cut elimination theorem for variety of hybrid logics in the language with satisfaction operators and universal modality. The proof is based on the strategy introduced...

The mereology of structural universals

This paper explores the mereology of structural universals, using the structural richness of a non-classical mereology without unique fusions. The paper focuses on a problem posed by David Lewis, who using the example of...

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...

Mereology and Infinity

This paper deals with the treatment of infinity and finiteness in mereology. After an overview of some first-order mereological theories, finiteness axioms are introduced along with a mereological definition of “x is fin...

Download PDF file
  • EP ID EP201841
  • DOI 10.12775/LLP.2016.012
  • Views 44
  • 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