--- title: "Meaning & Key Takeaway of: This view [of the infinite], which I…" description: "\"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 ..." image: "https://sms4smile.com/quotes/i/cb9/georg-cantor-20252_certainty_this-view-of-the-infinite-which-i-consid_2909374.jpg" --- # This view \[of the infinite\], which I consider to be the… ![“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/i/cb9/georg-cantor-20252_certainty_this-view-of-the-infinite-which-i-consid_2909374.jpg) [Download](https://sms4smile.com/quotes/i/cb9/georg-cantor-20252_certainty_this-view-of-the-infinite-which-i-consid_2909374.jpg) [Open image](https://sms4smile.com/quotes/i/cb9/georg-cantor-20252_certainty_this-view-of-the-infinite-which-i-consid_2909374.jpg) > “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](https://sms4smile.com/quotes/author/georg-cantor/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Cantor asserts his view on the infinite is rare but will gain followers as its implications are explored. **In simple terms:** His unique view on infinity will spread. Key Takeaway Embrace bold ideas despite few supporters. Themes philosophy mathematics infinity originality Mood thoughtful inquisitive Type analytical inspirational When to use this quote - academic lectures - philosophical debates - educational curricula - research discussions Key Concepts Set theory transfinite numbers paradox Questions to Reflect On - How can you support unconventional ideas? - What are the risks of pioneering concepts? A Different Perspective Limited acceptance may hinder immediate impact. ★ ★ ★ ★ ★ No ratings yet [Certainty](https://sms4smile.com/quotes/about/certainty/) [Consequence](https://sms4smile.com/quotes/about/consequence/) [Explicitly Logical](https://sms4smile.com/quotes/about/explicitly-logical-4181536/) [Firsts](https://sms4smile.com/quotes/about/firsts/) [History](https://sms4smile.com/quotes/about/history/) [Infinite](https://sms4smile.com/quotes/about/infinite/) [Infinite Consider](https://sms4smile.com/quotes/about/infinite-consider-4181534/) [Knows](https://sms4smile.com/quotes/about/knows/) [Lasts](https://sms4smile.com/quotes/about/lasts/) [Logic](https://sms4smile.com/quotes/about/logic/) [Logical](https://sms4smile.com/quotes/about/logical/) [Logical Consequences](https://sms4smile.com/quotes/about/logical-consequences-3714919/) [Ontology](https://sms4smile.com/quotes/about/ontology/) [Position](https://sms4smile.com/quotes/about/position/) [Reasoning](https://sms4smile.com/quotes/about/reasoning/) [Sole](https://sms4smile.com/quotes/about/sole/) [Uncertainty](https://sms4smile.com/quotes/about/uncertainty/) [View Infinite](https://sms4smile.com/quotes/about/view-infinite-4181535/) [Views](https://sms4smile.com/quotes/about/views/) ## Related quotes > [Cubism did not accept the logical consequences of its own discoveries; it was not developing abstraction towards its own goal, the expression of pure…](https://sms4smile.com/quotes/piet-mondrian/cubism-did-not-accept-the-logical-consequences-of-its-own-discoveries/) [Piet Mondrian](https://sms4smile.com/quotes/author/piet-mondrian/) > [Logical consequences are the scarecrows of fools and the beacons of wise men.](https://sms4smile.com/quotes/thomas-huxley/logical-consequences-are-the-scarecrows-of-fools-and-the-beacons-of/) [Thomas Huxley](https://sms4smile.com/quotes/author/thomas-huxley/) > [Logical consequences are the scare-crows of fools and the beacons of wise men](https://sms4smile.com/quotes/thomas-henry-huxley/logical-consequences-are-the-scare-crows-of-fools-and-the-beacons-of/) [Thomas Henry Huxley](https://sms4smile.com/quotes/author/thomas-henry-huxley/) > [The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in…](https://sms4smile.com/quotes/georg-cantor/the-actual-infinite-arises-in-three-contexts-first-when-it-is/) [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/) > [Calculus works by making visible the infinitesimally small.](https://sms4smile.com/quotes/keith-devlin/calculus-works-by-making-visible-the-infinitesimally-small/) [Keith Devlin](https://sms4smile.com/quotes/author/keith-devlin/) > [The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it.](https://sms4smile.com/quotes/eugene-wigner/the-enormous-usefulness-of-mathematics-in-the-natural-sciences-is/) [Eugene Wigner](https://sms4smile.com/quotes/author/eugene-wigner/) > [“In humans (and humans alone), sexuality is embodied in desire--in the primordial desire for life-as-relation. That the sex drive serves the vital desire for…](https://sms4smile.com/quotes/christos-yannaras/in-humans-and-humans-alone-sexuality-is-embodied-in-desire-in-the/) [Christos Yannaras](https://sms4smile.com/quotes/author/christos-yannaras/) > [“Being and not being are not two different realities, but two different aspects of the same reality.”](https://sms4smile.com/quotes/raheel-farooq/being-and-not-being-are-not-two-different-realities-but-two-different/) [Raheel Farooq](https://sms4smile.com/quotes/author/raheel-farooq/) > [ “To be more precise... death is \[contrary to\] God, and if death is natural, if it is the ultimate truth about life and about… ](https://sms4smile.com/quotes/alexander-schmemann/to-be-more-precise-death-is-contrary-to-god-and-if-death-is-natural/) [Alexander Schmemann](https://sms4smile.com/quotes/author/alexander-schmemann/) > [“In my mind, I could sense their roots under the soil, creeping in helical tangles of ever-increasing complexity outward and in all directions—out beyond…](https://sms4smile.com/quotes/ashim-shanker/in-my-mind-i-could-sense-their-roots-under-the-soil-creeping-in/) [Ashim Shanker](https://sms4smile.com/quotes/author/ashim-shanker/) > [“One of my principal theses is that in every case the nature of a being (contingent as well as essential nature) can, in principle,…](https://sms4smile.com/quotes/max-scheler/one-of-my-principal-theses-is-that-in-every-case-the-nature-of-a/) [Max Scheler](https://sms4smile.com/quotes/author/max-scheler/) > [ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient.](https://sms4smile.com/quotes/colin-maclaurin/algebra-is-a-general-method-of-computation-by-certain-signs-and/) [Colin Maclaurin](https://sms4smile.com/quotes/author/colin-maclaurin/) > [I survive. I survived it all then and I'll survive the rest of it. Without your help.](https://sms4smile.com/quotes/janet-morris/i-survive-i-survived-it-all-then-and-i-ll-survive-the-rest-of-it/) [Janet Morris](https://sms4smile.com/quotes/author/janet-morris/) > [“This has nothing to do with realism (even if it explains also realism). A completely real world can be constructed, in which asses fly…](https://sms4smile.com/quotes/umberto-eco/this-has-nothing-to-do-with-realism-even-if-it-explains-also-realism/) [Umberto Eco](https://sms4smile.com/quotes/author/umberto-eco/) ## 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/) [Explore all 30 Georg Cantor quotes ](https://sms4smile.com/quotes/author/georg-cantor/) ## More Certainty quotes > [A common fallacy in much of the adverse criticism to which science is subjected today is that it claims certainty, infallibility and complete emotional…](https://sms4smile.com/quotes/cyril-norman-hinshelwood/a-common-fallacy-in-much-of-the-adverse-criticism-to-which-science-is/) [Cyril Norman Hinshelwood](https://sms4smile.com/quotes/author/cyril-norman-hinshelwood/) > [Sometimes we have the absolute certainty there's something inside us that's so hideous and monstrous that if we ever search it out we won't…](https://sms4smile.com/quotes/hubert-selby-jr/sometimes-we-have-the-absolute-certainty-there-s-something-inside-us/) [Hubert Selby, Jr](https://sms4smile.com/quotes/author/hubert-selby-jr/) > [The past and the future become unimportant. There is only that moment, and the incredible certainty that everything under the sun has been written…](https://sms4smile.com/quotes/paulo-coelho/the-past-and-the-future-become-unimportant-there-is-only-that-moment/) [Paulo Coelho](https://sms4smile.com/quotes/author/paulo-coelho/) > [In the mental disturbance and effort of writing, what sustains you is the certainty that on every page there is something left unsaid.](https://sms4smile.com/quotes/cesare-pavese/in-the-mental-disturbance-and-effort-of-writing-what-sustains-you-is/) [Cesare Pavese](https://sms4smile.com/quotes/author/cesare-pavese/) > [Of course I doubt. I do not practice a certainty. I practice a faith.](https://sms4smile.com/quotes/robert-breault/of-course-i-doubt-i-do-not-practice-a-certainty-i-practice-a-faith/) [Robert Breault](https://sms4smile.com/quotes/author/robert-breault/) > [The world is a wonderfully weird place, consensual reality is significantly flawed, no institution can be trusted, certainty is a mirage, security a delusion,…](https://sms4smile.com/quotes/tom-robbins/the-world-is-a-wonderfully-weird-place-consensual-reality-is/) [Tom Robbins](https://sms4smile.com/quotes/author/tom-robbins/) > [As a businessman, I know that businesses need certainty.](https://sms4smile.com/quotes/bill-foster/as-a-businessman-i-know-that-businesses-need-certainty/) [Bill Foster](https://sms4smile.com/quotes/author/bill-foster/) > [It is suggested that in domestic violence at least the presence or absence of a firearm, or of any other type of weapon, is…](https://sms4smile.com/quotes/colin-greenwood/it-is-suggested-that-in-domestic-violence-at-least-the-presence-or/) [Colin Greenwood](https://sms4smile.com/quotes/author/colin-greenwood/) > [Every single person who is a member of our party deserves to have certainty. They deserve to know that my attention and focus is…](https://sms4smile.com/quotes/annamie-paul/every-single-person-who-is-a-member-of-our-party-deserves-to-have/) [Annamie Paul](https://sms4smile.com/quotes/author/annamie-paul/) > [The significance and volume of repairs that are needed across the country demand that we give state and local governments the long-term certainty they…](https://sms4smile.com/quotes/sam-graves/the-significance-and-volume-of-repairs-that-are-needed-across-the/) [Sam Graves](https://sms4smile.com/quotes/author/sam-graves/) > [“Death is the one great certainty in life. That’s what my dad used to say. Nothing else is certain. Not love. Not happiness. Not…](https://sms4smile.com/quotes/mila-gray/death-is-the-one-great-certainty-in-life-that-s-what-my-dad-used-to/) [Mila Gray](https://sms4smile.com/quotes/author/mila-gray/) > [ \[I\]f in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge… ](https://sms4smile.com/quotes/roger-bacon/i-f-in-other-sciences-we-should-arrive-at-certainty-without-doubt-and/) [Roger Bacon](https://sms4smile.com/quotes/author/roger-bacon/) > [Do not lose hope; St. Joseph also experienced moments of difficulty, but he never lost faith and was able to overcome them, in the…](https://sms4smile.com/quotes/pope-francis/do-not-lose-hope-st-joseph-also-experienced-moments-of-difficulty-but/) [Pope Francis](https://sms4smile.com/quotes/author/pope-francis/) > [As the future is never known with certainty, the evaluation of the prospective benefits requires the formation of expectations. An acceptable house, partner or…](https://sms4smile.com/quotes/dale-t-mortensen/as-the-future-is-never-known-with-certainty-the-evaluation-of-the/) [Dale T. Mortensen](https://sms4smile.com/quotes/author/dale-t-mortensen/) > [Finding someone that trusted my vision helped me find certainty in who I was.](https://sms4smile.com/quotes/syd/finding-someone-that-trusted-my-vision-helped-me-find-certainty-in/) [Syd](https://sms4smile.com/quotes/author/syd/) [Browse all 1,776 Certainty quotes ](https://sms4smile.com/quotes/about/certainty/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "This view [of the infinite], which I consider to be the sole correct one, is held by only a few. 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