The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarried," but they also share the complete lack of empirical content which is associated with that certainty: The propositions of… — Carl Gustav Hempel Copy Share
The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter. — Carl Gustav Hempel Copy Share Image
The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarried," but they also share the complete lack of empirical content which is associated with that certainty: The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter. — Carl Gustav Hempel Copy Share
A geometrical theory in physical interpretation can never be validated with mathematical certainty ... ; like any other theory of empirical science, it can… — Carl Gustav Hempel Copy Share Image
The most distinctive characteristic which differentiates mathematics from the various branches of empirical science, and which accounts for its fame as the queen of… — Carl Gustav Hempel Copy Share Image
...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures… — Carl Gustav Hempel Copy Share Image
