Philosophy of Logic
Saeid Pourdanesh
Abstract
Alfred Tarski is one of the principal founders of logical semantics. He founded representational approach in 30s and this approach is dominant in the logical semantics nowadays. But if we return to Tarski’s 20s works it seems in first glance there is no semantical approach in his 20s works. Current ...
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Alfred Tarski is one of the principal founders of logical semantics. He founded representational approach in 30s and this approach is dominant in the logical semantics nowadays. But if we return to Tarski’s 20s works it seems in first glance there is no semantical approach in his 20s works. Current commentary of Tarski’s the 20s works is that he regarded logic with syntactical and proof theoretic approach in this periods. But one of Tarski’s commentators, Douglas Patterson, has showed in details that in Tarski’s the 20s works is seen a kind of semantical approach which can regard it as expressive approach. Tarski called this approach intuitionistic formalism, following his teacher Stanisław Leśniewski. In this article we are intend to address, according to Patterson’s interpretation, what is Tarski’s the expressive approach. we will attempt to establish two claims: (a) intuitionistic formalism, according to Tarski, is an approach about function of language not an articulated semantical theory in which the central concepts of expressive approach are defined and analyzed; (b) intuitionistic formalism has no conflict with representational approach about language and the former is present in background of Tarski’s works, even several years after establishment of representational approach by him.
Saeid Pourdanesh; Mahdi Behniafar
Abstract
This article is concerned of the problem that weather Tarski’s definition of the ‘logical consequence’ in his seminal article ‘On the Concept of Logical Consequence’ (1936), as his article claims, captures the common concept of logical consequence or not. First of all, for ...
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This article is concerned of the problem that weather Tarski’s definition of the ‘logical consequence’ in his seminal article ‘On the Concept of Logical Consequence’ (1936), as his article claims, captures the common concept of logical consequence or not. First of all, for understanding what defect had prevailing approach of logical consequence (proof- theoretical approach) that led him to attempt to present new definition of concept of logical consequence, I introduce proof-theoretical approach to logical consequence and examine its default and then explain two interpretations of his definition of the common concept of logical consequence. the First interpretation is that the common concept of logical consequence is the concept that all of ordinary and non-professional peoples in philosophy, logic and mathematics use. the Second interpretation is that what Tarski means by the common concept of logical consequence is the concept that for professional peoples in logic and mathematics is ‘common’ and already used in axiomatics. I defend the second interpretation and after descriptive-analytic examination of his suggested definition of this concept and presentation of example of it, I finally conclude that Tarski in his attempting for capture of the common concept of logical consequence has succeeded.
