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A Subject With No Object - Strategies for Nominalistic Interpretation of Mathematics (Hardcover)
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A Subject With No Object - Strategies for Nominalistic Interpretation of Mathematics (Hardcover)
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Numbers and other mathematical objects are exceptional in having no
locations in space or time and no causes or effects in the physical
world. This makes it difficult to account for the possibility of
mathematical knowledge, leading many philosophers to embrace
nominalism, the doctrine that there are no abstract entitles, and
to embark on ambitious projects for interpreting mathematics so as
to preserve the subject while eliminating its objects. A Subject
With No Object cuts through a host of technicalities that have
obscured previous discussions of these projects, and presents
clear, concise accounts, with minimal prerequisites, of a dozen
strategies for nominalistic interpretation of mathematics, thus
equipping the reader to evaluate each and to compare different
ones. The authors also offer critical discussion, rare in the
literature, of the aims and claims of nominalistic interpretation,
suggesting that it is significant in a very different way from that
usually assumed.
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