I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and… — Georg Cantor Copy Share Image
The potential infinite means nothing other than an undetermined, variable quantity, always remaining finite, which has to assume values that either become… — Georg Cantor Copy Share Image
There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very… — Georg Cantor Copy Share Image
What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite… — Georg Cantor Copy Share Image
I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I… — Georg Cantor Copy Share Image
My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I… — Georg Cantor Copy Share Image
This view [of the infinite], which I consider to be the sole correct one, is held by only a few. While possibly… — Georg Cantor Copy Share Image
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in… — Georg Cantor Copy Share Image
The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly… — Georg Cantor Copy Share Image
The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining… — Georg Cantor Copy Share Image
In mathematics, the art of asking questions is more valuable than solving problems. — Georg Cantor Copy Share Image
I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions… — Georg Cantor Copy Share Image
I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that… — Georg Cantor Copy Share Image
The potential infinite means nothing other than an undetermined, variable quantity, always remaining finite, which has to assume values that either become smaller than… — Georg Cantor Copy Share Image
My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I know this?… — Georg Cantor Copy Share Image
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… — Georg Cantor Copy Share Image
What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one… — Georg Cantor Copy Share Image
A false conclusion once arrived at and widely accepted is not easily dislodged and the less it is understood the more tenaciously it is… — Georg Cantor Copy Share Image
The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in… — Georg Cantor Copy Share Image
In mathematics the art of proposing a question must be held of higher value than solving it. — Georg Cantor Copy Share Image
![“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!” quote by Georg Cantor](https://sms4smile.com/quotes/img-quotes/cb9/georg-cantor-20252_certainty_this-view-of-the-infinite-which-i-consid_2909374.jpg)
![“The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately…” quote by Georg Cantor](https://sms4smile.com/quotes/img-quotes/1c9/georg-cantor-20252_axioms_the-old-and-oft-repeated-proposition-tot_1288544.jpg)
