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A Hierarchy of Turing DegreesA Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability (AMS-206)

A Hierarchy of Turing Degrees: A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability (AMS-206)

Rod Downey and Noam Greenberg

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691199665
eISBN:
9780691200217
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691199665.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field has developed growing connections in diverse areas of ... More

Mathematical Knowledge and the Interplay of Practices

Mathematical Knowledge and the Interplay of Practices

José Ferreirós

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167510
eISBN:
9781400874002
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167510.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction ... More

Mathematics without ApologiesPortrait of a Problematic Vocation

Mathematics without Apologies: Portrait of a Problematic Vocation

Michael Harris

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175836
eISBN:
9781400885527
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175836.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers, this book offers an eclectic panorama of the lives and values and hopes and fears of mathematicians in ... More

Noncooperative Game TheoryAn Introduction for Engineers and Computer Scientists

Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

João P. Hespanha

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. The book shows that such design challenges can be ... More

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