Logical Foundations of Mathematics and Computational Complexity PDF Download

Logical Foundations of Mathematics and Computational Complexity PDF
By:Pavel Pudlák
Published on 2013-04-22 by Springer Science & Business Media

The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.

This Book was ranked at 18 by Google Books for keyword mathematics about sets.

Book ID of Logical Foundations of Mathematics and Computational Complexity's Books is obxDAAAAQBAJ, Book which was written byPavel Pudlákhave ETAG "wBNEl6gEPcA"

Book which was published by Springer Science & Business Media since 2013-04-22 have ISBNs, ISBN 13 Code is 9783319001197 and ISBN 10 Code is 3319001191

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Book which have "695 Pages" is Printed at BOOK under CategoryMathematics

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