Titlebook: Abstract Objects; For and Against José L. Falguera,Concha Martínez-Vidal Book 2020 Springer Nature Switzerland AG 2020 Indispensability arg

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书目名称Abstract Objects影响因子(影响力)




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Sabine Jablonka,Anna Böhnlein,Constanze Wolfe necessary. In this paper, I resist this view, arguing instead that mathematical objects are contingent and that statements about them are not necessarily true (if true at all). I provide an account of the source of the apparent necessity of mathematics, and argue that, despite its ubiquity, nothin

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Peter Hensen,Dominik Rottenkolberrnally to the frameworks of conventions that give meaning to our terms, questions like ‘Are there numbers?’ have straightforward and trivial answers: the axioms for number theory tell us how we are to use number terms, and the existence of natural numbers follows trivially from these axioms. On the

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https://doi.org/10.1007/978-3-642-93585-5te their targets. Denotation is a dyadic relation that obtains between certain symbols and certain objects. This does not sit well with the fact that many models are not concrete objects. If a model does not exist, how can it denote? We present an antirealist theory of models that reconciles the not

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