The Logic of Infinity

Nonfiction, Science & Nature, Mathematics, Set Theory, Logic
Cover of the book The Logic of Infinity by Barnaby Sheppard, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Barnaby Sheppard ISBN: 9781139949590
Publisher: Cambridge University Press Publication: July 24, 2014
Imprint: Cambridge University Press Language: English
Author: Barnaby Sheppard
ISBN: 9781139949590
Publisher: Cambridge University Press
Publication: July 24, 2014
Imprint: Cambridge University Press
Language: English

Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical foundations and popular accounts of logic. Readers will learn of the formal construction of the classical number systems, from the natural numbers to the real numbers and beyond, and see how set theory has evolved to analyse such deep questions as the status of the continuum hypothesis and the axiom of choice. Remarks and digressions introduce the reader to some of the philosophical aspects of the subject and to adjacent mathematical topics. The rich, annotated bibliography encourages the dedicated reader to delve into what is now a vast literature.

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

Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical foundations and popular accounts of logic. Readers will learn of the formal construction of the classical number systems, from the natural numbers to the real numbers and beyond, and see how set theory has evolved to analyse such deep questions as the status of the continuum hypothesis and the axiom of choice. Remarks and digressions introduce the reader to some of the philosophical aspects of the subject and to adjacent mathematical topics. The rich, annotated bibliography encourages the dedicated reader to delve into what is now a vast literature.

More books from Cambridge University Press

Cover of the book The Cambridge Companion to Heidegger by Barnaby Sheppard
Cover of the book Modern British Drama on Screen by Barnaby Sheppard
Cover of the book Recommender Systems by Barnaby Sheppard
Cover of the book Gendering European Working Time Regimes by Barnaby Sheppard
Cover of the book The Cambridge Companion to Schubert by Barnaby Sheppard
Cover of the book Methods of Argumentation by Barnaby Sheppard
Cover of the book Gadamer and the Legacy of German Idealism by Barnaby Sheppard
Cover of the book The Jewish Press and the Holocaust, 1939–1945 by Barnaby Sheppard
Cover of the book The Cambridge Companion to James Joyce by Barnaby Sheppard
Cover of the book The Cambridge Companion to Hobbes's Leviathan by Barnaby Sheppard
Cover of the book South Korea's Rise by Barnaby Sheppard
Cover of the book Banking in Crisis by Barnaby Sheppard
Cover of the book Economic Politics in the United States by Barnaby Sheppard
Cover of the book The Magical Imagination by Barnaby Sheppard
Cover of the book The Medieval Discovery of Nature by Barnaby Sheppard
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