Téléchargez le livre : Towards an Arithmetical Logic

Towards an Arithmetical Logic

The Arithmetical Foundations of Logic de

Éditeur :

Birkhäuser


Collection :

Studies in Universal Logic

Paru le : 2015-09-24

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Description

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.
Pages
184 pages
Collection
Studies in Universal Logic
Parution
2015-09-24
Marque
Birkhäuser
EAN papier
9783319220864
EAN EPUB
9783319220871
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
1044 Ko
Prix
52,74 €

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