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Springer, Dordrecht

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10.1007/s001030050278

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Formal Science from Logic to Mathematics

Authors: Mario Bunge
Publish Date: 1985
Volume: , Issue: , Pages: 9-123
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Abstract

We start with the philosophy of logic and mathematics for several reasons First nowadays all of the sciences and technologies employ mathematics which has logic built into it Second mathematics presupposes no knowledge of fact it is logically though not epistemologically a priori Third for the same reason mathematics is semantically neutral it does not describe the real world Fourth and consequently mathematics is methodologically a priori it involves no empirical procedures In fact the content and validity of mathematics are independent of any empirical techniques such as finger counting and computer programming that help carry out some calculations or construct certain proofs


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