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A Subject With No Object - Strategies for Nominalistic Interpretation of Mathematics (Paperback, Revised)
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A Subject With No Object - Strategies for Nominalistic Interpretation of Mathematics (Paperback, Revised)
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Numbers and other mathematical objects are exceptional in having no
locations in space or time or relations of cause and effect. This
makes it difficult to account for the possibility of the knowledge
of such objects, leading many philosophers to embrace nominalism,
the doctrine that there are no abstract entities, 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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