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A Course in Mathematical Logic Volume 53 || by Yu. I. Manin (auth.) is a nonfiction available to read on EtoBox.

What is A Course in Mathematical Logic Volume 53 || about?

1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The firs

Who reads A Course in Mathematical Logic Volume 53 ||?

Author

Yu. I. Manin (auth.)

Publisher

Springer Science & Business Media

Published

2013

Language

EN

ISBN

9781475743852

Category

nonfiction

Subjects

Mathematics, Stem