Towards an Arithmetical Logic

Name: Towards an Arithmetical Logic
Brand: Birkhauser Verlag AG
SKU: 9783319220864
Price: 52.63 EUR
Availability: InStock

The Arithmetical Foundations of Logic

Автор: Yvon Gauthier

Език:

Корици: С меки корици

Издател: Birkhauser Verlag AG

Наличност: Външен склад

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52.63 € 102.94 лв

This book offers an original contribution to the foundations of logic and mathematics, and focuses o...

Информация за книгата

Автор

Yvon Gauthier

Език

Английски език

Корици

Книга - С меки корици

Издадена

2015

страници

184

EAN

9783319220864

ISBN

3319220861

Enbook ID

09378406

Издател

Birkhauser Verlag AG

Теглоt

3377

Размери

168 x 240 x 15

Пълно описание

This book offers an original contribution to the foundations of logic and mathematics, and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic, and combines Fermat's method of infinite descent with Kronecker's general arithmetic of homogeneous polynomials. The book also includes a treatment of theories in physics and mathematical physics to underscore the role of arithmetic from a constructivist viewpoint. The scope of the work intertwines historical, mathematical, logical and philosophical dimensions in a unified critical perspective; as such, it will appeal to a broad readership from mathematicians to logicians, to philosophers interested in foundational questions. Researchers and graduate students in the fields of philosophy and mathematics will benefit from the author's critical approach to the foundations of logic and mathematics.§§

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Towards an Arithmetical Logic

The Arithmetical Foundations of Logic

Информация за книгата

Пълно описание

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