A Mathematical Prelude to the Philosophy of Mathematics

Nonfiction, Science & Nature, Mathematics, Logic, Science, Other Sciences, Philosophy & Social Aspects
Cover of the book A Mathematical Prelude to the Philosophy of Mathematics by Stephen Pollard, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Stephen Pollard ISBN: 9783319058160
Publisher: Springer International Publishing Publication: May 12, 2014
Imprint: Springer Language: English
Author: Stephen Pollard
ISBN: 9783319058160
Publisher: Springer International Publishing
Publication: May 12, 2014
Imprint: Springer
Language: English

This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing 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 of mathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Gödel's theorems, interpretability, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and real numbers and have some background in formal logic.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing 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 of mathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Gödel's theorems, interpretability, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and real numbers and have some background in formal logic.

More books from Springer International Publishing

Cover of the book Sustainability Politics and Limited Statehood by Stephen Pollard
Cover of the book Wireless and Satellite Systems by Stephen Pollard
Cover of the book State and Economic Development in Africa by Stephen Pollard
Cover of the book Exploring the Mechanics of Chronic Inflation and Hyperinflation by Stephen Pollard
Cover of the book Non-Operative Treatment of the Lumbar Spine by Stephen Pollard
Cover of the book Service-Oriented and Cloud Computing by Stephen Pollard
Cover of the book Sensory Perceptions in Language, Embodiment and Epistemology by Stephen Pollard
Cover of the book Evolution of Metal Casting Technologies by Stephen Pollard
Cover of the book Scalar Boson Decays to Tau Leptons by Stephen Pollard
Cover of the book Foreign Trade as a Factor of Economic Growth by Stephen Pollard
Cover of the book Procurement Finance by Stephen Pollard
Cover of the book Digital Media by Stephen Pollard
Cover of the book Advances in Human Factors in Communication of Design by Stephen Pollard
Cover of the book Molecular Determinants of Head and Neck Cancer by Stephen Pollard
Cover of the book Social Media in Politics by Stephen Pollard
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy