By Carl G. Hempel

(Published in

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