Abstract Set Theory (Volume 2: From White to Linnebo)(Chinese Edition)

BAO MOU

ISBN 10: 720818805X / ISBN 13: 9787208188051

About this Item

Language:Chinese.Paperback.Pub Date:2024-04 Pages:464 Publisher:Shanghai People's Publishing House The content reflected in this book (Volumes 1 and 2) is a model of the combination of mathematical logic and philosophy of mathematics. The former is the object of study for mathematicians. and the latter is the object of study for philosophers. Mathematical logic is divided into set theory. proof theory. recursion theory and model theory. In the classical period. philosophy of mathematics was d.

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Bibliographic Details

• Title: Abstract Set Theory (Volume 2: From White to Linnebo)(Chinese Edition)
• Language: English
• ISBN 10: 720818805X
• ISBN 13: 9787208188051
• Binding: paperback
• Condition: New

About this title

Synopsis

本书是一部数学哲学领域的学术专著。《抽象主义集合论》分为上下两卷，所要呈现的是数理逻辑与数学哲学相结合的样态。前者是数学家们研究的对象，后者是哲学家们研究的对象。《抽象主义集合论（上卷）：从布劳斯到斯塔德》研究的是集合论哲学，《抽象主义集合论（下卷）：从怀特到林内波》研究的是模型论哲学。上卷从集合论的视角去研究逻辑主义，下卷从模型论的视角去研究逻辑主义。本书接续了上卷对于抽象主义集合论的研究，阐释并讨论了新逻辑主义发展历程中的关键人物所作出的贡献。全书共分五章，围绕着“休谟原则”“凯撒问题”“良莠不齐问题”“静态抽象”“动态抽象”等新逻辑主义领域内的重要问题展开分析。本书介绍了新逻辑主义者如何解决这些重要的难题，使新逻辑主义成为一种好的数学哲学形态。