Foundations without Foundationalism 2024 pdf epub mobi 電子書 下載


Foundations without Foundationalism

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Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order and higher-order logic, in a way that will be accessible to graduate students. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical and historical issues that the subject raises. Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic. 'In this excellent treatise Shapiro defends the use of second-order languages and logic as framework for mathematics. His coverage of the wide range of logical and philosophical topics required for understanding the controversy over second-order logic is thorough, clear, and persuasive...Shapiro recognizes that it is unlikely that he has had the last word on these controversial philosophical subjects. Nevertheless, his book is certainly an excellent place to start work on them.' Michael D. Resnik, History and Philosophy of Logic

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Foundations without Foundationalism 2024 pdf epub mobi 電子書 下載

Foundations without Foundationalism 2024 pdf epub mobi 電子書 下載

Foundations without Foundationalism 2024 pdf epub mobi 電子書 下載



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出版者:Oxford University Press, USA
作者:Stewart Shapiro
出品人:
頁數:300
譯者:
出版時間:2000-5-18
價格:GBP 36.99
裝幀:Paperback
isbn號碼:9780198250296
叢書系列:

圖書標籤: Math  哲學  SecondOrderLogic  MathematicalLogic   


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