Read e-book online Alfred Tarski: Philosophy of Language and Logic (History of PDF

By Douglas Patterson

ISBN-10: 0230221211

ISBN-13: 9780230221215

This learn seems 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 perception of Intuitionistic Formalism constructed: semantics, fact, paradox, logical final result.

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Additional resources for Alfred Tarski: Philosophy of Language and Logic (History of Analytic Philosophy)

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Consider first this one, from Sur La Methode Déductive [Tarski, 1986f], which was later incorporated into Tarski’s logic textbook:23 As is known, every mathematical science is founded upon a suitably chosen system of primitive terms and axioms. Our knowledge of the objects designated by the primitive terms could be quite extensive, and the accepted axioms need not exhaust it. Yet this knowledge is our private affair, exercising not the least influence upon the construction of the science. com - licensed to University of Sydney - PalgraveConnect - 2012-02-01 Kotarbinski ´ echoes the sentiment (not with citation of Padoa, though some later work of Padoa is cited by Kotarbinski) ´ toward the end of a section on proving the independence and consistency of axioms through imposing varying interpretations on primitive terms, writing: 40 Alfred Tarski: Philosophy of Language and Logic Interestingly, in the English version of the passage in the textbook of 1941, Tarski hedges by saying that our grasp on the primitive terms is “so to speak” our private affair, while in the German version the declaration is unhedged, as in the French, but the German asserts that the axioms “must not” exhaust our knowledge (muß keinesfalls durch die angenommenen Axiome erschöpft werden).

The rules on which the construction of linguistic symbols are based and the keys which decipher them are, on the one hand, precise definitions of various expressions and, on the other, different kinds of conventions concerning linguistic symbols … Linguistic conventions are, therefore, the necessary condition of any scientific procedure and the indispensible key to understanding science [Le´sniewski, 1992a, 35]. As Le´sniewski mentions elsewhere, such conventions can amount to definitions or not [Le´sniewski, 1992c, 75–6]: either way they are rules that determine the intuitive meanings of symbols.

That is, Le´sniewski, in order to capture intuitive meaning, wanted certain theses to be theorems of his system so as to guarantee its expression of intuitive content, but he was more open about the formulation of axioms and definitions. Here is how he comments on the formalization of his “Ontology”: Here, quite clearly, the role of certain theses in the system is to secure agreement as to the meaning of the primitive terms of the system, and the desired axiomatization is held to the standard that they be implied.

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Alfred Tarski: Philosophy of Language and Logic (History of Analytic Philosophy) by Douglas Patterson

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