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A mathematical prelude to the philosophy of mathematics Titelvorschau
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A mathematical prelude to the philosophy of mathematics

Autor: Stephen Pollard
Verlag: Cham : Springer, 2014.
Ausgabe/Medienart   E-Book : Dokument : EnglischAlle Ausgaben und Medienarten anzeigen
Zusammenfassung:
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  Weiterlesen…
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Gattung/Form: Electronic books
Physisches Format Printed edition:
Medienart: Dokument, Internetquelle
Dokumenttyp Internet-Ressource, Computerdatei
Alle Autoren: Stephen Pollard
ISBN: 9783319058160 3319058169 3319058150 9783319058153
OCLC-Nummer: 880689138
Beschreibung: 1 online resource (xi, 202 pages)
Inhalt: Preface --
Chapter 1: Recursion, Induction --
Chapter 2: Peano Arithmetic, Incompleteness --
Chapter 3: Hereditarily Finite Lists --
Chapter 4: Zermelian Lists --
Chapter 5: The Hierarchy of Sets. Chapter 6: Frege Arithmetic --
Chapter 7: Intuitionist Logic --
Chapter 8. Solutions of Odd-Numbered Exercises --
Index.
Verfasserangabe: Stephen Pollard.

Abstract:

This book draws readers into the philosophy of mathematics by having them do mathematics. Coverage includes primitive recursive arithmetic, Godel's theorems, the hierarchy of sets, Frege arithmetic  Weiterlesen…

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"A Mathematical Prelude to the Philosophy of Mathematics is an easy-to-read book with a variety of helpful exercises covering a range of topics in the foundations of mathematics, with chapters Weiterlesen…

 
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