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 most distinctive characteristic which differentiates mathematics from the various branches of empirical science, and which accounts for its fame as the queen of the sciences, is no doubt the peculiar certainty and necessity of its results. — 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
