Strict Finitism and the Logic of Mathematical Applications by Feng Ye
English | EPUB | 2011 | 279 Pages | ISBN : 9400713460 | 6.1 MB
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).