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Strict Finitism and the Logic of Mathematical Applications - Ye, Feng
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Ye, Feng:
Strict Finitism and the Logic of Mathematical Applications - Taschenbuch

ISBN: 9400736312

ID: 12700077725

[EAN: 9789400736313], Neubuch, Publisher/Verlag: Springer Netherlands | Exploring the logic behind applied mathematics to the physical world, this volume illustrates how radical naturalism, nominalism and strict finitism can account for the applications of classical mathematics in current theories about natural phenomena. | 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. | 1. Introduction.- 2. Strict Finitism.- 3. Calculus.- 4. Metric Space.- 5. Complex Analysis.- 6. Integration.- 7. Hilbert Space.- 8. Semi-Riemann Geometry.- References.- Index. | Format: Paperback | Language/Sprache: english | 432 gr | 234x157x18 mm | 272 pp

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Strict Finitism and the Logic of Mathematical Applications | Ye - Buch - Feng Ye - Feng Ye
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Strict Finitism and the Logic of Mathematical Applications | Ye - Buch - Feng Ye - neues Buch

ISBN: 9789400736313

ID: 12716202

Von Feng Ye: 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 grea...; Weitere Fachgebiete > Mathematik > Mathematik Allgemein > Mathematische Logik, Springer Netherlands

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Strict Finitism and the Logic of Mathematical Applications - Feng Ye
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Feng Ye:
Strict Finitism and the Logic of Mathematical Applications - Taschenbuch

2013, ISBN: 9400736312

ID: 10690666191

[EAN: 9789400736313], Neubuch, [PU: Springer Jul 2013], - 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

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Strict Finitism and the Logic of Mathematical Applications - Feng Ye
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Feng Ye:
Strict Finitism and the Logic of Mathematical Applications - gebunden oder broschiert

ISBN: 9400736312

ID: 9789400736313

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. HC/Philosophie/Antike[PU:Springer]

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Strict Finitism and the Logic of Mathematical Applications - Feng Ye
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Feng Ye:
Strict Finitism and the Logic of Mathematical Applications - gebunden oder broschiert

ISBN: 9400736312

ID: 9789400736313

<-> 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. <-> HC/Philosophie/Antike

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Details zum Buch

Detailangaben zum Buch - Strict Finitism and the Logic of Mathematical Applications


EAN (ISBN-13): 9789400736313
ISBN (ISBN-10): 9400736312
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2013
Herausgeber: Springer
284 Seiten
Gewicht: 0,433 kg
Sprache: Englisch

Buch in der Datenbank seit 14.05.2008 10:19:16
Buch zuletzt gefunden am 28.06.2017 17:51:32
ISBN/EAN: 9400736312

ISBN - alternative Schreibweisen:
94-007-3631-2, 978-94-007-3631-3


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