...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometri…

- Carl Gustav Hempel

The most distinctive characteristic which differentiates mathematics from the various branches of empirical science, and which accounts for its fame …

- Carl Gustav Hempel

The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter.

- Carl Gustav Hempel

A geometrical theory in physical interpretation can never be validated with mathematical certainty ... ; like any other theory of empirical science, …

- Carl Gustav Hempel

The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarr…

- Carl Gustav Hempel