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Strict Finitism and the Logic of Mathematical Applications

BuchGebunden
272 Seiten
Englisch
Springer Netherlandserschienen am06.07.2011
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.mehr
Verfügbare Formate
BuchGebunden
EUR106,99
BuchKartoniert, Paperback
EUR106,99
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextThis book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories.

Inhalt/Kritik

Inhaltsverzeichnis
1. Introduction.- 2. Strict Finitism.- 3. Calculus.- 4. Metric Space.- 5. Complex Analysis.- 6. Integration.- 7. Hilbert Space.- 8. Semi-Riemann Geometry.- References.- Index.mehr
Kritik
"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.mehr

Autor

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.