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Description du livre Hardcover. Etat : new. New. Fast Shipping and good customer service. N° de réf. du vendeur Holz_New_0195122305
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Description du livre Hardback or Cased Book. Etat : New. Platonism and Anti-Platonism in Mathematics 1.2. Book. N° de réf. du vendeur BBS-9780195122305
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Description du livre Hardcover. Etat : new. Hardcover. In this deft and vigorous book, Mark Balaguer demonstrates that there are no good arguments for or against mathematical platonism (ie., the view that abstract, or non-spatio-temporal, mathematical objects exist, and that mathematical theories are descriptions of such objects). Balaguer does this by establishing that both platonism and anti-platonism are defensible positions. In Part I, he shows that the former is defensible by introducing a novel version ofplatonism, which he calls full-blooded platonism, or FBP. He argues that if platonists endorse FBP, they can then solve all of the problems traditionally associated with their view, most notably the twoBenacerrafian problems (that is, the epistemological problem and the non-uniqueness problem). In Part II, Balaguer defends anti-platonism (in particular, mathematical fictionalism) against various attacks, chief among them the Quine-Putnam indispensability argument. Balaguer's version of fictionalism bears similarities to Hartry Field's, but the arguments Balaguer uses to defend this view are very different. Parts I and II of this book taken together clearly establish thatwe do not have any good argument for or against platonism. In Part III, Balaguer extends his conclusions, arguing that it is not simply that we do not currently have any goodargument for or against platonism, but that we could never have such an argument, and indeed, that there is no fact of the matter as to whether platonism is correct (ie., whether there exist any abstract objects). This lucid and accessibly written book breaks new ground in its area of engagement and makes vital reading for both specialists and anyone else interested in the philosophy of mathematics or metaphysics in general. Mathematical platonism is the view that abstract (i.e. non spatio-temporal) mathematical objects really exist and are the entities that our mathematical theories describe. Mark Balaguer shows that mathematical platonism and anti-platonism are both defensible views by solving the important problems associated with each of these views. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780195122305