Home / Quotes / Quote by Georg Cantor

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 to examine their transient reality.”

Quote by Georg Cantor

Author

German mathematician and founder of set theory, a pioneer in the theory of infinity. His research on the foundations and logical structure of mathematics has had a profound impact on modern mathematics. more

You May Also Like

“There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very fact the necessity of the actual infinite can be demonstrated.”

Facts Doubt Infinite No Doubt Quantity Variables

Author:Georg Cantor

“The introduction of the cipher 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps.”

Years Steps Groups Concepts Mathematics Math Nonsense Introduction Ciphers

Author:Alexander Grothendieck

“A different image came to me a few weeks ago. The unknown thing to be known appeared to me as some stretch of earth or hard marl, resisting penetration... the sea advances insensibly in silence, nothing seems to happen, nothing moves, the water is so far off you hardly hear it... yet finally it surrounds the resistant substance.”

Different Seems Happens Earth Moving Water Known Week Sea Surround Resisting Penetration Unknown Things

Author:Alexander Grothendieck

“Discovery is the privilege of the child: the child who has no fear of being once again wrong, of looking like an idiot, of not being serious, of not doing things like everyone else.”

Children Serious Discovery Privilege Idiot No Fear Have No Fear

Author:Alexander Grothendieck

“I am a Christian which means that I believe in the deity of Christ, like Tycho de Brahe, Copernicus, Descartes, Newton, Leibnitz, Pascal… like all great astronomers mathematicians of the past.”

Believe Mean Christian Past I Believe Christ I Believe In Mathematician Deities Newton Astronomers Pascal Copernicus Christ Like

Author:Augustin-Louis Cauchy

“I know many people who believe in a god, and I expected to find him on my way to the South Pole if he exists. My religious experiences were very different however, [only] involving myself, nature and the universe.”

People Ifs Knows Way Believe Different Universe Religious South Expected My Way Involving Religious Experience

Author:Liv Arnesen

“Is it not true, then, that my life with all its limitation touches at many points the life of the World Beautiful? Everything has its wonders, even darkness and silence, and I learn, whatever state I may be, therein to be content.”

World May States Beautiful Silence Wonder Darkness Limitation

Author:Anne Sullivan Macy

“Certain periods in history suddenly lift humanity to an observation point where a clear light falls upon a world previously dark.”

World Light Certain Humanity Fall Dark Clear Periods Observation Lifts

Author:Anne Sullivan Macy

“A strenuous effort must be made to train young people to think for themselves and take independent charge of their lives.”

People Thinking Made Young Effort Independent Train

Author:Anne Sullivan Macy

“It is a rare privilege to watch the birth, growth, and first feeble struggles of a living mind; this privilege is mine.”

Mind Firsts Growth Watches Struggle Mines Birth Privilege

Author:Anne Sullivan Macy