Towards an Arithmetical Logic (eBook, PDF)
Yvon Gauthier
eBook, PDF

Towards an Arithmetical Logic (eBook, PDF)

The Arithmetical Foundations of Logic

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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...

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