All Georg Cantor Quotes
- In mathematics the art of proposing a question must be held of higher value than solving it. Art
- The essence of mathematics lies precisely in its freedom. Essence
- The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers. Fall
- Great innovation only happens when people aren't afraid to do things differently. Afraid
- I like creativity in data collection. Here are a few creative Google Analytics tracking ideas I have seen: Analytics
- Use Campaign link tagging labels all for specifying slight differences in content for split testing. All
- Don't always blindly follow guidance and step-by-step instructions; you might run into something interesting. Blindly
- My beautiful proof lies all in ruins. All
- I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently… Certain
- 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… Actual
- 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… Absolutely
- 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… Actual
- In mathematics, the art of asking questions is more valuable than solving problems. Art
- 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… Co
- To ask the right question is harder than to answer it. Answer
- 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… Actual
- 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… Ascending
- I entertain no doubts as to the truths of the tranfinites, which I recognized with God's help and which, in their diversity, I have studied… Almost Every
- I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature… Abhors
- My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I know this? Because… All
- This view [of the infinite], which I consider to be the sole correct one, is held by only a few. While possibly I am the… All
- 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,… Absolute
- A set is a Many that allows itself to be thought of as a One. Allows
- I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently… Certain
- The essence of mathematics lies in its freedom. Essence