Strict Finitism and the Logic of Mathematical Applications
Ye Feng
Sold by Majestic Books, Hounslow, United Kingdom
AbeBooks Seller since 19 January 2007
New - Soft cover
Condition: New
Quantity: 4 available
Add to basketSold by Majestic Books, Hounslow, United Kingdom
AbeBooks Seller since 19 January 2007
Condition: New
Quantity: 4 available
Add to basketPrint on Demand pp. 286 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.
Seller Inventory # 96338483
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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