« All Mathematics Quotes · Georg Cantor's Page
Mathematics Quotes by Georg Cantor
- In mathematics the art of proposing a question must be held of higher value than solving it.
- The essence of mathematics lies precisely in its freedom.
- The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.
- The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form…
- 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…
- In mathematics, the art of asking questions is more valuable than solving problems.
- 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…
- The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational…
- What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could…
- The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo,…
- A set is a Many that allows itself to be thought of as a One.
- The essence of mathematics lies in its freedom.
More Mathematics Quotes
- When we were making the law, when we were writing the literature and the mathematics the grandfarthers of Blair and little Bush… — Mohammed Saeed al-Sahaf
- Mathematics was hard, dull work. Geography pleased me more. For dancing I was quite enthusiastic. — John James Audubon
- In mathematics we have long since drawn the rein, and given over a hopeless race. — Charles Babbage
- If a man's wit be wandering, let him study the mathematics. — Francis Bacon
- All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact… — Roger Bacon
- For the things of this world cannot be made known without a knowledge of mathematics. — Roger Bacon
- Education is indoctrination if you're white - subjugation if you're black. — James A. Baldwin
- Mathematics is the most beautiful and most powerful creation of the human spirit. — Stefan Banach
- I must study politics and war that my sons may have liberty to study mathematics and philosophy. — John Adams
- Brain: an apparatus with which we think we think. — Ambrose Bierce
- When you have mastered numbers, you will in fact no longer be reading numbers, any more than you read words when reading… — W. E. B. Du Bois
- No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something… — George Boole