| 期刊全称 | Axiomatic Method and Category Theory | | 影响因子2023 | Andrei Rodin | | 视频video | | | 发行地址 | Offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.Provides a deep textual analysis of Euclid, Hilbert, and Lawvere that describes how their ideas are d | | 学科分类 | Synthese Library | | 图书封面 |  | | 影响因子 | .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 revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end,. .Rodin. .presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics..Lawvere‘s axiomatization of topos theory and Voevodsky‘s axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical | | Pindex | Book 2014 |
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发表于 2025-3-21 16:30:54
