Strict Finitism and the Logic of Mathematical Applications (Paperback, 2011 ed.)

This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity). The fact that so much applied mathematics can be developed within such a weak, strictly finitistic system, is surprising in itself. It also shows that the applications of those classical theories to the finite physical world can be translated into the applications of strict finitism, which demonstrates the applicability of those classical theories without assuming the literal truth of those theories or the reality of infinity. Both professional researchers and students of philosophy of mathematics will benefit greatly from reading this book.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Synthese Library, 355
Release date:	July 2013
First published:	2011
Authors:	Feng Ye
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Paperback
Pages:	272
Edition:	2011 ed.
ISBN-13:	978-9400736313
Categories:	Books > Science & Mathematics > Science: general issues > Philosophy of science Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Philosophy > Topics in philosophy > Logic Promotions
LSN:	9400736312
Barcode:	9789400736313

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