Strict Finitism and the Logic of Mathematical Applications: Synthese Library, cartea 355
Autor Feng Yeen Limba Engleză Paperback – 15 iul 2013
Both professional researchers and students of philosophy of mathematics will benefit greatly from reading this book.
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 639.90 lei 6-8 săpt. | |
SPRINGER NETHERLANDS – 15 iul 2013 | 639.90 lei 6-8 săpt. | |
Hardback (1) | 570.41 lei 38-45 zile | |
SPRINGER NETHERLANDS – 6 iul 2011 | 570.41 lei 38-45 zile |
Din seria Synthese Library
- 15% Preț: 638.43 lei
- 18% Preț: 989.98 lei
- 15% Preț: 596.69 lei
- 18% Preț: 903.93 lei
- 15% Preț: 586.88 lei
- 15% Preț: 696.50 lei
- 18% Preț: 892.90 lei
- 15% Preț: 643.34 lei
- Preț: 282.33 lei
- 5% Preț: 372.19 lei
- Preț: 443.10 lei
- 15% Preț: 637.59 lei
- 18% Preț: 958.88 lei
- 15% Preț: 642.36 lei
- 18% Preț: 1230.66 lei
- 15% Preț: 642.83 lei
- 18% Preț: 1000.39 lei
- Preț: 389.70 lei
- 15% Preț: 637.28 lei
- 18% Preț: 952.26 lei
- 18% Preț: 1231.32 lei
- 15% Preț: 645.96 lei
- Preț: 395.85 lei
- Preț: 400.47 lei
- 18% Preț: 1225.48 lei
- 15% Preț: 638.89 lei
- 18% Preț: 1232.09 lei
- Preț: 380.45 lei
- Preț: 394.87 lei
- 15% Preț: 640.37 lei
- 15% Preț: 639.08 lei
- Preț: 381.98 lei
- 15% Preț: 643.00 lei
- 15% Preț: 672.29 lei
Preț: 639.90 lei
Preț vechi: 752.83 lei
-15% Nou
Puncte Express: 960
Preț estimativ în valută:
122.46€ • 127.69$ • 101.77£
122.46€ • 127.69$ • 101.77£
Carte tipărită la comandă
Livrare economică 21 martie-04 aprilie
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9789400736313
ISBN-10: 9400736312
Pagini: 284
Ilustrații: XII, 272 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.4 kg
Ediția:2011
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Synthese Library
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9400736312
Pagini: 284
Ilustrații: XII, 272 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.4 kg
Ediția:2011
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Synthese Library
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
1. Introduction.- 2. Strict Finitism.- 3. Calculus.- 4. Metric Space.- 5. Complex Analysis.- 6. Integration.- 7. Hilbert Space.- 8. Semi-Riemann Geometry.- References.- Index.
Recenzii
"Strict finitism is a very attractive view that has generally suffered just from the sense that it couldn't reproduce enough mathematics. This book takes strides toward removing that worry and making the view a viable alternative." James Tappenden, University of Michigan, Ann Arbor, U.S.A.
Notă biografică
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.
Textul de pe ultima copertă
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.
Both professional researchers and students of philosophy of mathematics will benefit greatly from reading this book.
Caracteristici
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 logic