Douglas Patterson's Alfred Tarski: Philosophy of Language and Logic PDF

By Douglas Patterson

This examine appears to the paintings of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all the significant matters in Tarski scholarship in gentle of the belief of Intuitionistic Formalism constructed: semantics, fact, paradox, logical final result.

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Extra info for Alfred Tarski: Philosophy of Language and Logic

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They do not have to have an intuitive content to be significant. Hilbert thus believed that the inferential roles of concepts are determined not by contents given prior to the axioms which introduce them, but by those introducing axioms themselves. Indeed, all reasoning concerning a concept is restricted to that which is provided for by its introducing axioms [Detlefsen, 2008, 294–5]. 2 One can see this view in action in a later work by Carnap that came to be important to Tarski, Logical Syntax: 20 Alfred Tarski: Philosophy of Language and Logic Up to now, in constructing a language, the procedure has usually been, first to assign a meaning to the fundamental mathematicological symbols, and then to consider what sentences and inferences are seen to be logically correct in accordance with this meaning.

Le´sniewski retakes the philosophical stage after his absence with a trenchant criticism of known systems of mathematical logic, criticizing the major contributions of the period—Frege’s proposed modification to 26 Alfred Tarski: Philosophy of Language and Logic his own system in the appendix to the Grundgesetze, Principia, Zermelo and others—for their lack of intuitive backing. Consider this passage: The problem of the ‘antinomies’, under the powerful influence of the researches of Bertrand Russell, has become the central problem in the intellectual endeavors of a number of prominent mathematicians.

Though Kotarbinski ´ discusses denotation at some length, the important thing for our purposes is that denotation is within his conception a derivative feature that is irrelevant to the basic, psychologistic account of the significance of linguistic expressions and their role in communication. For Kotarbinski, ´ following in the footsteps of Twardowski, though thought and language can be characterized in referential, semantic terms, these terms play no role in the basic account of meaning and communication in language.

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