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

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Simpson, Stephen G. 作者

譯者

2009-5 出版日期

464 頁數

$ 114.13 價格

叢書系列

9780521884396 圖書編碼

Subsystems of Second Order Arithmetic 在線電子書圖書標籤: 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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發表於2024-10-02

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

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

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

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Subsystems of Second Order Arithmetic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Subsystems of Second Order Arithmetic 在線電子書圖書描述

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.

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