By Douglas Patterson
This learn appears to be like to the paintings of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders the entire significant concerns in Tarski scholarship in mild of the notion of Intuitionistic Formalism built: semantics, fact, paradox, logical end result.
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Additional info for Alfred Tarski: Philosophy of Language and Logic
In the unplanned process of development of language, the symbolic function of propositions can depend in some particular cases on identical symbolic functions and on identical relationship between speciﬁc words—in quite different ways. The planned construction of complex linguistic forms cannot, for representing various contents (tre´sci) in the system of theoretical propositions, be conﬁned within the possible results of the unplanned evolution of language. Such construction calls for the formation of certain general conventional-normative schemata (schematów konwencjonalno-normatywnych) to embody the dependence of the symbolic function of propositions on the symbolic functions of their elements, and on the mutual relationship between these elements.
G. “red ball”), but it is unclear what the story was supposed to be for anything more complicated. This weakness in Intuitionistic Formalism was never repaired. When Tarski replaced intutionistic formalism with his semantics, one result was that an account of meaning with no story about semantic compositionality was replaced with another that had one, but Intuitionistic Formalism 23 that there was this difference seems not to have been something that motivated Tarski. Clearly the view Le´sniewski adheres to in 1911 is retained in the passage Tarski cites and in the material surrounding it, despite Le´sniewski’s repudiation of the rather outdated and idiosyncratic views of logic and meaning present in the article.
These endeavors were often signiﬁcantly remote from the historical, intuitive basis from which the ‘antinomies’ developed. They encouraged the disappearance of the feeling for the distinction between the mathematical sciences, conceived of as deductive theories, which serve to capture various realities of the world in the most exact laws possible, and such non-contradictory deductive systems, which indeed ensure the possibility of obtaining, on their basis, an abundance of ever new theorems, but which simultaneously distinguish themselves by the lack of any connection with reality of any intuitive, scientiﬁc value … The question, whether the Frege system changed as indicated above or also the ‘Mengenlehre’ of Zermelo will ever lead to a contradiction, is completely immaterial from the point of view of an intellectual anxiety, directed resolutely towards reality, and which stems from an irresistible, intuitive necessity of belief in the ‘truth’ of certain assumptions and in the ‘correctness’ of certain inferences, which in combination with those assumptions, lead to contradiction.
Alfred Tarski: Philosophy of Language and Logic by Douglas Patterson