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ANOTHER ARITHMETIC OF THE EVEN AND THE ODD

  • CELIA SCHACHT (a1)
Abstract

This article presents an axiom system for an arithmetic of the even and the odd, one that is stronger than those discussed in Pambuccian (2016) and Menn & Pambuccian (2016). It consists of universal sentences in a language extending the usual one with 0, 1, +, ·, <, – with the integer part of the half function $[{ \cdot \over 2}]$ , and two unary operation symbols.

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*SCHOOL OF MATHEMATICAL AND NATURAL SCIENCES ARIZONA STATE UNIVERSITY - WEST CAMPUS P.O. Box 37100 Phoenix, AZ 85069-7100, USA E-mail: schacht.celia@gmail.com
References
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Kaye, R. (1991). Models of Peano Arithmetic. Oxford: Oxford University Press.
Menn, S. & Pambuccian, V. (2016). Addenda et corrigenda to “The arithmetic of the even and the odd.” Review of Symbolic Logic, 9, 638640.
Pambuccian, V. (2016). The arithmetic of the even and the odd. Review of Symbolic Logic, 9, 359369.
Pambuccian, V. (2018). A problem in Pythagorean Arithmetic. Notre Dame Journal of Formal Logic, 59, 197204.
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The Review of Symbolic Logic
  • ISSN: 1755-0203
  • EISSN: 1755-0211
  • URL: /core/journals/review-of-symbolic-logic
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