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Tarski, in "On the Concept of Truth in Formal Languages" (1935), attempted to formulate a new theory of truth in order to resolve the liar paradox. In the course of this he made several metamathematical discoveries, most notably Tarski's undefinability theorem using the same formal technique Kurt Gödel used in his incompleteness theorems .
The semantic theory of truth has as its general case for a given language: 'P' is true if and only if P. where 'P' refers to the sentence (the sentence's name), and P is just the sentence itself. Tarski's theory of truth (named after Alfred Tarski) was developed for formal languages, such as formal logic.
This approach to semantics is principally associated with Donald Davidson, and attempts to carry out for the semantics of natural language what Tarski's semantic theory of truth achieves for the semantics of logic. [1] Truth-conditional theories of semantics attempt to define the meaning of a given proposition by explaining when the sentence is ...
In philosophy and logic, a deflationary theory of truth (also semantic deflationism [1] or simply deflationism) is one of a family of theories that all have in common the claim that assertions of predicate truth of a statement do not attribute a property called "truth" to such a statement.
The T-schema ("truth schema", not to be confused with "Convention T") is used to check if an inductive definition of truth is valid, which lies at the heart of any realisation of Alfred Tarski's semantic theory of truth. Some authors refer to it as the "Equivalence Schema", a synonym introduced by Michael Dummett. [1]
A semantic theory of truth was produced by Alfred Tarski for formal semantics. According to Tarski's account, meaning consists of a recursive set of rules that end up yielding an infinite set of sentences, "'p' is true if and only if p", covering the whole language.
"The theory of truth is a series of truisms" - Proceedings of the Aristotelian Society, vol. xxiv (1950). Philosophical Papers , p. 121, Oxford University Press, second edition (1970) "Sentences are not as such either true or false" - Sense and Sensibilia (1962), p. 111
The truth conditions for quantified formulas are given purely in terms of truth with no appeal to domains whatsoever (and hence its name truth-value semantics). Game semantics or game-theoretical semantics made a resurgence mainly due to Jaakko Hintikka for logics of (finite) partially ordered quantification , which were originally investigated ...