---
title: "3 Epiphany Quotes By Georg Cantor"
description: "3 Epiphany quotes by Georg Cantor. Plus more from Georg Cantor and more Epiphany sayings from other authors."
image: "https://sms4smile.com/quotes/i/541/georg-cantor-20252_discovery_i-entertain-no-doubts-as-to-the-truths-o_882657.jpg"
---

> [I entertain no doubts as to the truths of the tranfinites, which I recognized with God's help and which, in their diversity,…](https://sms4smile.com/quotes/georg-cantor/i-entertain-no-doubts-as-to-the-truths-of-the-tranfinites-which-i/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

[Image](https://sms4smile.com/quotes/i/541/georg-cantor-20252_discovery_i-entertain-no-doubts-as-to-the-truths-o_882657.jpg)

> [What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite…](https://sms4smile.com/quotes/georg-cantor/what-i-assert-and-believe-to-have-demonstrated-in-this-and-earlier/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

[Image](https://sms4smile.com/quotes/i/67c/georg-cantor-20252_ascending_what-i-assert-and-believe-to-have-demons_1003240.jpg)

> [The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining…](https://sms4smile.com/quotes/georg-cantor/the-transfinite-numbers-are-in-a-certain-sense-themselves-new/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

[Image](https://sms4smile.com/quotes/i/b74/georg-cantor-20252_certain_the-transfinite-numbers-are-in-a-certain_2559384.jpg)

## More by Georg Cantor

> [In mathematics, the art of asking questions is more valuable than solving problems.](https://sms4smile.com/quotes/georg-cantor/in-mathematics-the-art-of-asking-questions-is-more-valuable-than/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions…](https://sms4smile.com/quotes/georg-cantor/i-realise-that-in-this-undertaking-i-place-myself-in-a-certain/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that…](https://sms4smile.com/quotes/georg-cantor/i-am-so-in-favor-of-the-actual-infinite-that-instead-of-admitting/)

[Georg Cantor](https://sms4smile.com/quotes/author/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…](https://sms4smile.com/quotes/georg-cantor/the-potential-infinite-means-nothing-other-than-an-undetermined/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I know this?…](https://sms4smile.com/quotes/georg-cantor/my-theory-stands-as-firm-as-a-rock-every-arrow-directed-against-it/)

[Georg Cantor](https://sms4smile.com/quotes/author/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…](https://sms4smile.com/quotes/georg-cantor/i-entertain-no-doubts-as-to-the-truths-of-the-tranfinites-which-i/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one…](https://sms4smile.com/quotes/georg-cantor/what-i-assert-and-believe-to-have-demonstrated-in-this-and-earlier/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [The essence of mathematics lies in its freedom.](https://sms4smile.com/quotes/georg-cantor/the-essence-of-mathematics-lies-in-its-freedom/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [“The essence of mathematics is in its freedom.”](https://sms4smile.com/quotes/georg-cantor/the-essence-of-mathematics-is-in-its-freedom/)

[Georg Cantor](https://sms4smile.com/quotes/author/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…](https://sms4smile.com/quotes/georg-cantor/a-false-conclusion-once-arrived-at-and-widely-accepted-is-not-easily/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [ 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… ](https://sms4smile.com/quotes/georg-cantor/the-old-and-oft-repeated-proposition-totum-est-majus-sua-parte-the/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [In mathematics the art of proposing a question must be held of higher value than solving it.](https://sms4smile.com/quotes/georg-cantor/in-mathematics-the-art-of-proposing-a-question-must-be-held-of-higher/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [My beautiful proof lies all in ruins.](https://sms4smile.com/quotes/georg-cantor/my-beautiful-proof-lies-all-in-ruins/)

[Georg Cantor](https://sms4smile.com/quotes/author/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…](https://sms4smile.com/quotes/georg-cantor/mathematics-is-entirely-free-in-its-development-and-its-concepts-are/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

> [Great innovation only happens when people aren't afraid to do things differently.](https://sms4smile.com/quotes/georg-cantor/great-innovation-only-happens-when-people-aren-t-afraid-to-do-things/)

[Georg Cantor](https://sms4smile.com/quotes/author/georg-cantor/)

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