2013, ISBN: 9789400736313

Kartoniert, 284 Seiten, 235mm x 155mm x 16mm, Sprache(n): eng Provides the first logical analysis of the applicability of infinite mathematics to finite physical things, by eliminating in… More...

Kartoniert, 284 Seiten, 235mm x 155mm x 16mm, Sprache(n): eng Provides the first logical analysis of the applicability of infinite mathematics to finite physical things, by eliminating infinity in the applications Defends radical naturalism, nominalism and strict finitism while offering a literally true explanation of applicability Accessible to readers with only a knowledge of calculus and the basics of mathematical logicThis 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.Feng Ye is a professor of philosophy at Peking University, China. He has a B.S. degree in mathematics from Xiamen University, China, and a Ph.D. degree in philosophy from Princeton University, U.S.A.. His research areas include constructive and finitistic mathematics, philosophy of mathematics, and philosophy of mind and language. He used to prove, for the first time, a constructive version of the spectral theorem and Stone¿s theorem for unbounded linear operators on Hilbert spaces. He is currently developing a radically naturalistic, nominalistic, and strictly finitistic philosophy of mathematics, a naturalistic theory of content, and a naturalistic interpretation of modality. His research articles have been published in The Journal of Symbolic Logic, Philosophia Mathematica, and Synthese, among others. He is also the author of the book Philosophy of Mathematics in the 20th Century: a Naturalistic Commentary (in Chinese, Peking University Press, 2010). His philosophical interests revolve around naturalism. Versandkostenfreie Lieferung Constructive Mathematics, Constructivism, Elementary Recursive Arithmetic, Foundations of mathematics, Naturalism, Nominalism, philosophy of mathematics, Physicalism<

2013, ISBN: 9400736312

[EAN: 9789400736313], Neubuch, [PU: Springer Netherlands Jul 2013], CONSTRUCTIVEMATHEMATICS; CONSTRUCTIVISM; ELEMENTARYRECURSIVEARITHMETIC; FOUNDATIONSOFMATHEMATICS; NATURALISM; NOMINALIS… More...

[EAN: 9789400736313], Neubuch, [PU: Springer Netherlands Jul 2013], CONSTRUCTIVEMATHEMATICS; CONSTRUCTIVISM; ELEMENTARYRECURSIVEARITHMETIC; FOUNDATIONSOFMATHEMATICS; NATURALISM; NOMINALISM; PHILOSOPHYOFMATHEMATICS; PHYSICALISM; STRICTFINITISM, This item is printed on demand - it takes 3-4 days longer - Neuware -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. 284 pp. Englisch, Books<

2013, ISBN: 9400736312

[EAN: 9789400736313], Neubuch, [SC: 0.0], [PU: Springer Netherlands], CONSTRUCTIVEMATHEMATICS; CONSTRUCTIVISM; ELEMENTARYRECURSIVEARITHMETIC; FOUNDATIONSOFMATHEMATICS; NATURALISM; NOMINAL… More...

[EAN: 9789400736313], Neubuch, [SC: 0.0], [PU: Springer Netherlands], CONSTRUCTIVEMATHEMATICS; CONSTRUCTIVISM; ELEMENTARYRECURSIVEARITHMETIC; FOUNDATIONSOFMATHEMATICS; NATURALISM; NOMINALISM; PHILOSOPHYOFMATHEMATICS; PHYSICALISM; STRICTFINITISM, Druck auf Anfrage Neuware - Printed after ordering - 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., Books<

2013, ISBN: 9400736312

[EAN: 9789400736313], Neubuch, [SC: 10.59], [PU: Springer Netherlands], CONSTRUCTIVEMATHEMATICS; CONSTRUCTIVISM; ELEMENTARYRECURSIVEARITHMETIC; FOUNDATIONSOFMATHEMATICS; NATURALISM; NOMIN… More...

[EAN: 9789400736313], Neubuch, [SC: 10.59], [PU: Springer Netherlands], CONSTRUCTIVEMATHEMATICS; CONSTRUCTIVISM; ELEMENTARYRECURSIVEARITHMETIC; FOUNDATIONSOFMATHEMATICS; NATURALISM; NOMINALISM; PHILOSOPHYOFMATHEMATICS; PHYSICALISM; STRICTFINITISM, Druck auf Anfrage Neuware - 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. 284 pp. Englisch, Books<

2013, ISBN: 9789400736313

[ED: Softcover], [PU: Springer / Springer Netherlands], This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of … More...

[ED: Softcover], [PU: Springer / Springer Netherlands], 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. Repr. of the ed. of 2001. 2013. xii, 272 S. XII, 272 p. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<