A Quote by Georg Cantor

Mathematics is entirely free in its development, and its concepts are only linked by the necessity of being consistent, and are co-ordinated with concepts introduced previously by means of precise definitions.

Georg Cantor

Quote Topics

Being Concepts Consistent Definitions Development Entirely Free Introduced Linked Mathematics Means Necessity Only Precise

Quote Author

Georg Cantor
German - Mathematician
March 3, 1845 - January 6, 1918

Definitions are temporary verbalizations of concepts, and concepts- particularly difficult concepts- are usually revised repeatedly as our knowledge and understanding grows.

Ernst Mayr

We should remember that science exists only because there are people, and its concepts exist only in the minds of men. Behind these concepts lies the reality which is being revealed to us, but only by the grace of God.

Wernher von Braun

Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality.

Georg Cantor

Every morning I'd have coffee with my wife and we would discuss ideas. Sixty percent of what I did for the stores was concepts. The other forty percent was correcting and cleaning up other concepts in house, or doing final art on my concepts. Most of my concepts were so finished they could turn them over to somebody else.

Mike Royer

If succeeding generations of Americans don't understand the concepts of justice, individual rights, free enterprise, capitalism, sovereignty or national security, there can be no guarantee that those concepts - or others like them - will continue.

George Nethercutt

Songwriters, we're always looking for new concepts, fresh concepts, and there are only so many ways you can talk about partying, really.

Jay Sean

For a physicist mathematics is not just a tool by means of which phenomena can be calculated, it is the main source of concepts and principles by means of which new theories can be created.

Freeman Dyson

In my eyes, concepts of theology have only as much value as they are able to interpret experience. It seems to me that we have long reached the point where we theologians only talk to ourselves and debate with our own history of concepts.

Eugen Drewermann

It may, however, be said that the level of experience to which concepts are inapplicable cannot yield any knowledge of a universal character, for concepts alone are capable of being socialized.

Muhammad Iqbal

To prepare for the future, we must be willing to test new concepts. This means we must acquire enough information to evaluate these concepts and not be like travelers in a foreign land who compare everything with their own hometown.

Jacque Fresco

Being exposed to theory, stimulated by a basic love of concepts and mathematics, was a marvelous experience.

Rudolph A. Marcus

The experimentalists think that we can only get at our concepts by way of empirical investigation, while the armchair philosophers think that we can skip the experiments and figure things out from our armchairs. What they have in common, however, is regarding our concepts as the targets of philosophical theorising, and I just don't think that, in the vast majority of cases, the subject matter of philosophy has our concepts as its target.

Hilary Kornblith

The only justification for our concepts and systems of concepts is that they serve to represent the complex of our experiences; beyond this they have not legitimacy.

Albert Einstein

Life and death are not properly scientific concepts but rather political concepts, which as such acquire a political meaning precisely only through a decision.

Giorgio Agamben

Mysticism is a rational enterprise. Religion is not. The mystic has recognized something about the nature of consciousness prior to thought, and this recognition is susceptible to rational discussion. The mystic has reasons for what he believes, and these reasons are empirical. The roiling mystery of the world can be analyzed with concepts (this is science), or it can be experienced free of concepts (this is myticism). Religion is nothing more than bad concepts held in place of good ones for all time. It is the denial-at once full of hope and full of fear-of the vastitude of human ignorance.