The Logic of Provability 2024 pdf epub mobi 电子书

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发表于2024-12-27

The Logic of Provability 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:George S. Boolos

出品人:

页数:316

译者:

出版时间:1995-4-28

价格:USD 63.00

装帧:Paperback

isbn号码:9780521483254

丛书系列:

图书标签: 数理逻辑 nemlophics Logic

The Logic of Provability 2024 pdf epub mobi 电子书图书描述

This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency.

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