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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 .
Truth-conditional semantics is an approach to semantics of natural language that sees meaning (or at least the meaning of assertions) as being the same as, or reducible to, their truth conditions. This approach to semantics is principally associated with Donald Davidson , and attempts to carry out for the semantics of natural language what ...
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.
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The T-schema is often expressed in natural language, but it can be formalized in many-sorted predicate logic or modal logic; such a formalisation is called a "T-theory." [ citation needed ] T-theories form the basis of much fundamental work in philosophical logic , where they are applied in several important controversies in analytic philosophy .
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 truth conditions of various sentences we may encounter in arguments will depend upon their meaning, and so logicians cannot completely avoid the need to provide some treatment of the meaning of these sentences. The semantics of logic refers to the approaches that logicians have introduced to understand and determine that part of meaning in ...
Alfred Tarski (/ ˈ t ɑːr s k i /; Polish:; born Alfred Teitelbaum; [1] [2] [3] January 14, 1901 – October 26, 1983) was a Polish-American [4] logician and mathematician. [5] A prolific author best known for his work on model theory, metamathematics, and algebraic logic, he also contributed to abstract algebra, topology, geometry, measure theory, mathematical logic, set theory, and ...