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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Strict Finitism and the Logic of Mathematical Applications (Paperback, 2011 ed.)
Loot Price: R2,650
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Strict Finitism and the Logic of Mathematical Applications (Paperback, 2011 ed.)
Series: Synthese Library, 355
Expected to ship within 18 - 22 working days
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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.
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