A set is a Many that allows itself to be thought of as a One.
GEORG CANTORGeorg Cantor Quotes
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A set is a Many that allows itself to be thought of as a One.
GEORG CANTOR
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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
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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
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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
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The essence of mathematics lies precisely in its freedom.
GEORG CANTOR
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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
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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
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In mathematics the art of proposing a question must be held of higher value than solving it.
GEORG CANTOR
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To ask the right question is harder than to answer it.
GEORG CANTOR
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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