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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 ...
Indefinite descriptions constitute Russell's third group. Descriptions most frequently appear in the standard subject–predicate form. Russell put forward his theory of descriptions to solve a number of problems in the philosophy of language. The two major problems are (1) co-referring expressions and (2) non-referring expressions.
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 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.
The concept-containment theory of truth is the view that a proposition is true if and only if the concept of the predicate of the proposition is "contained in" the concept of the subject. For example, the proposition that bachelors are unmarried men is true, in this view, because the concept of the predicate (unmarried men) is contained in the ...
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]
Truth conditions of a sentence do not necessarily reflect current reality. They are merely the conditions under which the statement would be true. [1] More formally, a truth condition makes for the truth of a sentence in an inductive definition of truth (for details, see the semantic theory of truth).