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A Mathematical Prelude to the Philosophy of Mathematics

A Mathematical Prelude to the Philosophy of Mathematics


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About the Book

This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics withoutdoing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give readers opportunities to recreate some mathematics that will illuminate important readings in philosophy ofmathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Godel's theorems, interpretability, the hierarchyof sets, Frege arithmetic and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and realnumbers and have some background in formal logic."

About the Author :
Stephen Pollard has been on the faculty of Truman State University since 1985. He received his B.A. from Haverford College in 1979 and his Ph.D. from the University of Texas in 1983. His research and publications dealprimarily with logic and the philosophy of mathematics, but his interests also include classical Greek philosophy, American pragmatism and the philosophy ofscience. Pollard is the author of Philosophical Introduction to Set Theory (Notre Dame, 1990), co-translator of The Continuum by Herman Weyl (Dover, 1994), co-author of Closure Spaces and Logic (Kluwer, 1996) and translator/editor of Essays on the Foundations of Mathematics by Moritz Pasch (Springer, 2010). His papers have appeared in Analysis, Erkenntnis, Logique et Analyse, The Monist, Notre Dame Journal of Formal Logic, Nous, Philosophical Studies, Philosophia Mathematica, Synthese and other journals."


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Product Details
  • ISBN-13: 9783319058177
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • Weight: 308 gr
  • ISBN-10: 3319058177
  • Publisher Date: 31 May 2014
  • Binding: Paperback
  • Spine Width: 12 mm
  • Width: 156 mm


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