Ebook: Axiomatic Method and Category Theory
Author: Andrei Rodin
- Tags: Abstract, Algebra, Pure Mathematics, Mathematics, Science & Math, Logic, Pure Mathematics, Mathematics, Science & Math, Epistemology, Philosophy, Politics & Social Sciences, Epistemology, Philosophy, Humanities, New Used & Rental Textbooks, Specialty Boutique, Algebra & Trigonometry, Mathematics, Science & Mathematics, New Used & Rental Textbooks, Specialty Boutique
- Series: SL 364
- Year: 2013
- Publisher: Springer
- Edition: 2014
- Language: English
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This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual Read more...
Abstract: This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has