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But Tarski's approach was extended by Davidson into an approach to theories of meaning for natural languages, which involves treating "truth" as a primitive, rather than a defined, concept. (See truth-conditional semantics.) Tarski developed the theory to give an inductive definition of truth as follows. (See T-schema)
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 ...
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]
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.
Some years before Strawson developed his account of the sentences which include the truth-predicate as performative utterances, Alfred Tarski had developed his so-called semantic theory of truth. Tarski's basic goal was to provide a rigorously logical definition of the expression "true sentence" within a specific formal language and to clarify ...
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 main modern approaches to semantics for formal languages are the following: The archetype of model-theoretic semantics is Alfred Tarski's semantic theory of truth, based on his T-schema, and is one of the founding concepts of model theory.
Tarski's work included logical consequence, deductive systems, the algebra of logic, the theory of definability, and the semantic definition of truth, among other topics. His semantic methods culminated in the model theory he and a number of his Berkeley students developed in the 1950s and '60s.