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 makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not - I do not say divisible - but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.
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 … - Georg Cantor
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 …
- Georg Cantor
In mathematics, the art of asking questions is more valuable than solving problems. - Georg Cantor
In mathematics, the art of asking questions is more valuable than solving problems.
A set is a Many that allows itself to be thought of as a One. - Georg Cantor
A set is a Many that allows itself to be thought of as a One.
To ask the right question is harder than to answer it. - Georg Cantor
To ask the right question is harder than to answer it.
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 has created … - Georg Cantor
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 has created …
In mathematics the art of proposing a question must be held of higher value than solving it. - Georg Cantor
In mathematics the art of proposing a question must be held of higher value than solving it.
Don't always blindly follow guidance and step-by-step instructions; you might run into something interesting. - Georg Cantor
Don't always blindly follow guidance and step-by-step instructions; you might run into something interesting.
Great innovation only happens when people aren't afraid to do things differently. - Georg Cantor
Great innovation only happens when people aren't afraid to do things differently.
The essence of mathematics lies precisely in its freedom. - Georg Cantor
The essence of mathematics lies precisely in its freedom.
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