Carnap, Tarski, and Quine at Harvard: Conversations on by Greg Frost-Arnold

By Greg Frost-Arnold

During the educational yr 1940-1941, numerous giants of analytic philosophy congregated at Harvard, conserving common deepest conferences, with Carnap, Tarski, and Quine. Carnap, Tarski, and Quine at Harvard permits the reader to behave as a fly at the wall for his or her conversations. Carnap took unique notes in the course of his yr at Harvard. This e-book comprises either a German transcription of those shorthand notes and an English translation within the appendix part. Carnap’s notes conceal quite a lot of subject matters, yet unusually, the main widespread query is: If the variety of actual goods within the universe is finite, what shape should still medical discourse take? this question is heavily attached to an abiding philosophical challenge: what's the courting among the logico-mathematical realm and the cloth realm? Carnap, Tarski, and Quine’s makes an attempt to reply to this query contain concerns principal to philosophy today.This e-book specializes in 3 such matters: nominalism, the cohesion of technology, and analyticity. in brief, the e-book reconstructs the strains of argument represented in those Harvard discussions, discusses their old value (especially Quine’s holiday from Carnap), and relates them while attainable to modern remedies of those issues.

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Finally, there is another, more direct line of influence from Le´sniewski to Tarski, which is likely relevant to the Finitist-Nominalist project: intuitionistic finitism. In a 1930 paper, Tarski says that his “personal attitude” concerning the “foundations of mathematics” is “intuitionistic formalism,” a view found “in the writings of S. Le´sniewski” (Tarski 1983, 62). What is this view? If we follow the reference Tarski provides, we find Le´sniewski discussing his proposed sentential logic: Having no predilection for various ‘mathematical games’ that consist in writing out according to one or another conventional rule various more or less picturesque formulae which need not be meaningful or even.

For Neurath, it seems that the problem is not merely that the superficially mathematical/analytic axiom of infinity is extra-logical/synthetic, or even that it is false, but rather that the very concept of infinity is, in some sense, unacceptable for an anti-metaphysical empiricist. Perhaps there are theological residues also. . in certain applications of the concept of infinity in mathematics. The attempts to make mathematics finite, especially in applications to concrete events, are certainly part of tidying up [the language of science].

That is, a speaker understands a particular sentence if and only if she knows that sentence’s meaning. ) Verständlichkeit is thus intimately connected to discussions of meaning and meaningfulness, notions which have occupied center stage in analytic philosophy throughout much of its history. There is another, derivative sense of ‘understanding’ that Carnap offers, both at this time and later in his career; to examine it, a brief detour is needed. This second sense does not appear in Carnap’s discussions of semantics in general, but rather in his treatment of the semantics of fundamental scientific theories.

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