Towards an Arithmetical Logic [electronic resource] The Arithmetical Foundations of Logic / by Yvon Gauthier.

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...

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Bibliographic Details
Main Author: Gauthier, Yvon (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edition:1st ed. 2015.
Series:Studies in Universal Logic,
Subjects:
Mathematical logic.
Online Access:
Springer English/International eBooks 2015 - Full Set: 2015 (Springer Link)
Variant Title:
Towards an Arithmetical Logic: The Arithmetical Foundations of Logic
Format: Electronic eBook
Contents:
  • Foreword
  • 1.Introduction
  • 2.Arithmetization of Analysis and Algebra
  • 3.Arithmetization of Logic
  • 4.Kronecker's Foundational Programme in Contemporary Mathematics
  • 5.Arithmetical Foundations for Physical Theories
  • 6.The Internal Logic of Constructive Mathematics
  • 7.The Internal Consistency of Arithmetic with Infinite Descent. A Syntactical Proof
  • 8 Conclusion. Arithmetism versus Logicism or Kronecker contra Frege
  • References.