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ADDENDA ET CORRIGENDA TO “THE ARITHMETIC OF THE EVEN AND THE ODD”

  • STEPHEN MENN (a1) and VICTOR PAMBUCCIAN (a2)

Abstract

We correct two typos and an error in The Arithmetic of the Even and the Odd, and provide an axiom system for a weak arithmetic in which the fact that a square root of an integer is either irrational or an integer can be proved.

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Corresponding author

*DEPARTMENT OF PHILOSOPHY McGILL UNIVERSITY 855 SHERBROOKE STREET WEST MONTREAL, QUEBEC H3A 2T7, CANADA E-mail: stephen.menn@mcgill.ca
SCHOOL OF MATHEMATICAL AND NATURAL SCIENCES ARIZONA STATE UNIVERSITY - WEST CAMPUS P. O. BOX 37100, PHOENIX AZ 85069-7100, USA E-mail: pamb@asu.edu

References

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Euclid, . (1956). The Elements, translated with introduction and commentary by Sir Thomas L. Heath (second edition). NY: Dover. Originally published by Cambridge University Press.
Pambuccian, V. (2016). The arithmetic of the even and the odd. The Review of Symbolic Logic, 9, 359369.
Pengelley, D. (2013). Quick, Does 23/67 equal 33/97? A mathematician’s secret from Euclid to today. The American Mathematical Monthly, 120, 867876.

ADDENDA ET CORRIGENDA TO “THE ARITHMETIC OF THE EVEN AND THE ODD”

  • STEPHEN MENN (a1) and VICTOR PAMBUCCIAN (a2)

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