By Douglas Patterson
This research seems to be to the paintings of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders the entire significant matters in Tarski scholarship in mild of the notion of Intuitionistic Formalism constructed: semantics, fact, paradox, logical end result.
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Extra info for Alfred Tarski: Philosophy of Language and Logic (History of Analytic Philosophy)
Those of propositions, should depend, in a correctly constructed precise language, upon the functions or the order of particular words—on the bases of certain pattens determined by general normative conventions the knowledge of which permits the correct symbolization of an object in a given language or the decoding of a symbol for a given language [Le´sniewski, 1992c, 56]. Note the use, here and elsewhere, of “decode” (odcyfrowanie [Le´sniewski, 1913, 324]) for what the reader does in understanding a symbol in accord with conventional-normative schemata.
1, in Tarski’s hands the Intuitionistic Formalist conception of intuitive meaning is not compositional. The picture that emerges, then, is a rather simple one. Le´sniewski has ideas and thoughts. There is no question for him as to exactly what they are, but he wants to convey them to another. For this an adequate symbolism is a better tool than natural language and so the thoughts are best expressed in the form of a formalized deductive theory governed by rules for the formation of expressions and for the conditions under which one sentence can be asserted on the basis of others.
Consider these remarks from an early discussion of his mereological conception of set theory: The psychic ‘sources’ of my axioms are my intuitions, which simply means, that I believe in the truth of my axioms, but I am unable to say why I believe, since I am not acquainted with the theory of causality. My axioms do not have a logical ‘source’, which simply means that these axioms do not have proofs within my system [Le´sniewski, 1992d, 130]. 9 This will be important when we turn later to the question of whether the Intuitionistic Formalist followed Hilbert in taking consistency to be sufﬁcient for truth.