Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Truth as Consistent Assertion

Version 1 : Received: 19 February 2023 / Approved: 22 February 2023 / Online: 22 February 2023 (02:04:39 CET)
Version 2 : Received: 25 February 2023 / Approved: 1 March 2023 / Online: 1 March 2023 (01:19:08 CET)

How to cite: Rozycki, A. Truth as Consistent Assertion. Preprints 2023, 2023020366. https://doi.org/10.20944/preprints202302.0366.v2 Rozycki, A. Truth as Consistent Assertion. Preprints 2023, 2023020366. https://doi.org/10.20944/preprints202302.0366.v2

Abstract

This paper presents four key results in the philosophy of language. Firstly, it distinguishes between partial and consistent assertion of a sentence, and introduces the concept of an equivocal sentence, which is both partially asserted and partially denied. Secondly, it proposes a novel definition of truth, stating that a true sentence is one that is consistently asserted. This definition avoids the Liar paradox, does not restrict classical logic, and applies to declarative sentences in the language used by any particular person. Thirdly, the paper introduces an epistemic model of language, called assertional language, which formalizes the definition of truth. Finally, it provides an argument for the falsity of so-called Liar sentences. The proposed definition of truth can be viewed as a formal account of the correspondence theory. The epistemic model is a powerful concept that allows for combining different languages in a meaningful way. This model is uniquely capable of reflecting on epistemic inconsistencies, such as logical paradoxes, in a consistent manner and without resorting to non-classical solutions.

Keywords

Ajdukiewicz; assertion; correspondence theory; epistemic model; Liar paradox; natural language; pattern; Tarski; theories of truth

Subject

Arts and Humanities, Philosophy

Comments (1)

Comment 1
Received: 1 March 2023
Commenter: Adam Rozycki
Commenter's Conflict of Interests: Author
Comment: Minor corrections to improve the clarity and conciseness of the text.
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