A geometrical theory in physical interpretation can never be validated with mathematical certainty ... ; like any other theory of empirical science, it can acquire only a more or less high degree of confirmation. — Carl Gustav Hempel Copy Share Image
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… — Carl Gustav Hempel Copy Share Image
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
