By Douglas Patterson
This research seems to be to the paintings of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all the significant matters in Tarski scholarship in mild of the belief of Intuitionistic Formalism built: semantics, fact, paradox, logical end result.
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Extra info for Alfred Tarski: Philosophy of Language and Logic
We can see this in his account of synonymy at [Le´sniewski, 1992a, 21–22]: two subject-predicate propositions are synonymous when both their subjects and their predicates have the same connotation. We can also see it in his remarks on non-denoting expressions that are nevertheless meaningful: “‘hippocentaur’ does not denote any object … This does not mean, of course, that this word does not connote anything—on the contrary, it can connote some quite strictly deﬁned properties … and thus it can possess a strictly deﬁned ‘meaning”’ [Le´sniewski, 1992a, 32].
His views on the point of setting out a deductive theory receded into the background, but traces of them can still be found in remarks throughout the remainder of his writings, including the passage Tarski cites. One thing that these later remarks make clear is that though Le´sniewski made some reference to Brentano and Husserl in his early discussions of “referential intentions” and the like, no heavy theory of “mental acts” lies behind his views; his interest is really a practical one in being understood to have said exactly what he intended to say.
Tarski’s own remarks on formalism have a similar ﬂair. 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.
Alfred Tarski: Philosophy of Language and Logic by Douglas Patterson