Subsystems of Second Order Arithmetic 2024 pdf epub mobi 電子書 下載

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Subsystems of Second Order Arithmetic pdf epub mobi 圖書描述

Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic.

Subsystems of Second Order Arithmetic 2024 pdf epub mobi 電子書 下載

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Subsystems of Second Order Arithmetic pdf epub mobi 圖書目錄

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發表於2024-12-23

Subsystems of Second Order Arithmetic 2024 pdf epub mobi 電子書 下載

Subsystems of Second Order Arithmetic 2024 pdf epub mobi 電子書 下載

Subsystems of Second Order Arithmetic 2024 pdf epub mobi 電子書 下載

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Subsystems of Second Order Arithmetic pdf epub mobi 讀後感

圖書標籤: 遞歸論  反推數學  綜述  數理邏輯  數學  可計算性  nemlophics  ReverseMath   

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