To ask the right question is harder than to answer it.
GEORG CANTORHad 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 -
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 very first in history to take this position so explicitly, with all of its logical consequences, I know for sure that I shall not be the last!
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 -
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 -
Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number.
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 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 and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.
GEORG CANTOR -
In mathematics, the art of asking questions is more valuable than solving problems.
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, 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 -
A false conclusion once arrived at and widely accepted is not easily dislodged and the less it is understood the more tenaciously it is held.
GEORG CANTOR -
The essence of mathematics lies precisely in its freedom.
GEORG CANTOR -
The transfinite numbers are in a sense the new irrationalities they stand or fall with the finite irrational numbers.
GEORG CANTOR -
In mathematics the art of proposing a question must be held of higher value than solving it.
GEORG CANTOR -
Don’t always blindly follow guidance and step-by-step instructions; you might run into something interesting.
GEORG CANTOR