On the Nature of Mathematical Truth
By Carl G. Hempel
(Published in American Mathematical Monthly 52, 1945.)

Contents

  1. The Problem
  2. Are the propositions of mathematics self-evident truths?
  3. Is mathematics the most general empirical science?
  4. The analytic character of mathematical propositions
  5. Mathematics as an axiomatized deductive system
  6. Peano's axiom system as a basis for mathematics
  7. Interpretations of peano's primitives
  8. Definition of the customary meaning of the concepts of arithmetic in purely logical terms
  9. The truth of peano's postulates in their customary interpretation
  10. Mathematics as a branch of logic
  11. On the applicability of mathematics to empirical subject matter