The potential infinite means nothing other than an undetermined, variable quantity, always remaining finite, which has to assume values that either become smaller than any finite limit no matter how small, or greater than any finite limit no matter how great.
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
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 …
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.
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.
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.
To ask the right question is harder than to answer it. - Georg Cantor
To ask the right question is harder than to answer it.
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.
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.
The essence of mathematics lies precisely in its freedom. - Georg Cantor
The essence of mathematics lies precisely in its freedom.
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