Towards an Arithmetical Logic

Name: Towards an Arithmetical Logic
Brand: Birkhauser Verlag AG
SKU: 9783319220864
Price: 1147 CZK
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The Arithmetical Foundations of Logic

Autor: Yvon Gauthier

Jazyk:

Vazba: Brožovaná

Vydavatel: Birkhauser Verlag AG

Dostupnost: Skladem u dodavatele

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

Informace o knize

Autor

Yvon Gauthier

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2015

Stránek

184

EAN

9783319220864

ISBN

3319220861

Enbook ID

09378406

Vydavatel

Birkhauser Verlag AG

Hmotnost

3377

Rozměry

168 x 240 x 15

Kompletní popis

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

Informace o knize

Kompletní popis

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