Arithmetic and Ontology: A Non-realist Philosophy of Arithmetic
rodopi (2006)
| Abstract | In this book a non-realist philosophy of mathematics is presented. Two ideas are essential to its conception. These ideas are (i) that pure mathematics--taken in isolation from the use of mathematical signs in empirical judgement--is an activity for which a formalist account is roughly correct, and (ii) that mathematical signs nonetheless have a sense, but only in and through belonging to a system of signs with empirical application. This conception is argued by the two authors and is critically discussed by three philosophers of mathematics. | |||||||||
| Keywords | formalism realism anti-realism non-realism Quine Frege Peano Wittgenstein Russell Carnap | |||||||||
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| ISBN(s) | 9042020474 9789042020474 | |||||||||
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