Could Tajtelbaum Question What Tarski Could Not?
نویسندگان
چکیده
منابع مشابه
What Finitism Could Not Be *
In his paper “Finitism” (1981), W.W. Tait maintains that the chief difficulty for everyone who wishes to understand Hilbert’s conception of finitist mathematics is this: to specify the sense of the provability of general statements about the natural numbers without presupposing infinite totalities. Tait further argues that all finitist reasoning is essentially primitive recursive. In this paper...
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According to the semantic view of scientific theories, theories are classes of models. I show that this view — if taken literally — leads to absurdities. In particular, this view equates theories that are distinct, and it distinguishes theories that are equivalent. Furthermore, the semantic view lacks the resources to explicate interesting theoretical relations, such as embeddability of one the...
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According to the semantic view of scientic theories, theories are classes of models. I show that this view — if taken seriously as a formal explication — leads to absurdities. In particular, this view equates theories that are truly distinct, and it distinguishes theories that are truly equivalent. Furthermore, the semantic view lacks the resources to explicate interesting theoretical relation...
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ژورنال
عنوان ژورنال: Organon F
سال: 2020
ISSN: 2585-7150,1335-0668
DOI: 10.31577/orgf.2020.27404