Carl Gustav Quotes & Sayings

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

God ever arithmetizes. — Carl Gustav Jacob Jacobi

The object of mathematics is the honor of the human spirit. — Carl Gustav Jacob Jacobi

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

The God that reigns in Olympus is Number Eternal. — Carl Gustav Jacob Jacobi

Wherever Mathematics is mixed up with anything, which is outside its field, you will find attempts to demonstrate these merely conventional propositions a priori, and it will be your task to find out the false deduction in each case. — Carl Gustav Jacob Jacobi

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

Were it not for the leaping and twinkling of the soul, man would rot away in his greatest passion, idleness. — C. G. Jung

Remember that you can know yourself, and with that you know enough. But you cannot know others and everything else. Beware of knowing what lies beyond yourself, or else your presumed knowledge will suffocate the life of those who know themselves. A knower may know himself. That is his limit.
- Carl Gustav Jung — C. G. Jung

The key to the understanding of the character of the conscious lies in the region of the unconscious. — Carl Gustav Carus

Mathematics exists solely for the honour of the human mind. — Carl Gustav Jacob Jacobi

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 or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental. — Carl Gustav Hempel