Concepts Quote by Georg Cantor

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

— Georg Cantor

[Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers,…

— Hermann Hankel

Mathematics is not a separate entity. It owes a great deal of its power and its beauty to other disciplines.

— Mark Kac

All the truths of mathematics are linked to each other, and all means of discovering them are equally admissible.

— Anonymous

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought…

— Alfred Adler

Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this…

— Paul Dirac

Mathematics deals exclusively with the relations of concepts to each other without consideration of their relation to experience.

— Albert Einstein

Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is…

— Hermann Weyl

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is…

— Bertrand Russell

Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then suchand such another…

— Bertrand Russell

The essence of mathematics lies precisely in its freedom.

— Georg Cantor

[Mathematics] is an independent world created out of pure intelligence.

— William Wordsworth