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GEORG CANTOR
Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand!
More Georg Cantor Quotes
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GEORG CANTOR -
A set is a Many that allows itself to be thought of as a One.
GEORG CANTOR -
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 defended on the nature of numbers.
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 actual infinite can be demonstrated.
GEORG CANTOR -
The transfinite numbers are in a sense the new irrationalities they stand or fall with the finite irrational numbers.
GEORG CANTOR -
Great innovation only happens when people aren’t afraid to do things differently.
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.
GEORG CANTOR -
Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand!
GEORG CANTOR -
In mathematics, the art of asking questions is more valuable than solving problems.
GEORG CANTOR -
In mathematics the art of proposing a question must be held of higher value than solving it.
GEORG CANTOR -
To ask the right question is harder than to answer it.
GEORG CANTOR -
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.
GEORG CANTOR -
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 previously by means of precise definitions.
GEORG CANTOR -
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 for more than twenty years; every year, and almost every day brings me further in this science.
GEORG CANTOR -
Don’t always blindly follow guidance and step-by-step instructions; you might run into something interesting.
GEORG CANTOR -
My beautiful proof lies all in ruins.
GEORG CANTOR