--- title: "Meaning & Key Takeaway of: Two infinities: the one that stretches to…" description: "\"Two infinities: the one that stretches to the beginning but never touches-when you halve and halve and halve, infinitely-and then the one that spreads ..." image: "https://sms4smile.com/quotes/i/494/david-levithan-67_distance_two-infinities-the-one-that-stretches-to_2517313.jpg" --- # Two infinities: the one that stretches to the beginning… ![“Two infinities: the one that stretches to the beginning but never touches-when you halve and halve and halve, infinitely-and then the one that spreads out into the endless, endless future, the endless, endless, distance.The set of infinities that is itself infinite.” quote by David Levithan](https://sms4smile.com/quotes/i/494/david-levithan-67_distance_two-infinities-the-one-that-stretches-to_2517313.jpg) [Download](https://sms4smile.com/quotes/i/494/david-levithan-67_distance_two-infinities-the-one-that-stretches-to_2517313.jpg) [Open image](https://sms4smile.com/quotes/i/494/david-levithan-67_distance_two-infinities-the-one-that-stretches-to_2517313.jpg) > “Two infinities: the one that stretches to the beginning but never touches-when you halve and halve and halve, infinitely-and then the one that spreads out into the endless, endless future, the endless, endless, distance.The set of infinities that is itself infinite.” [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. The quote explores multiple kinds of infinity—both backward toward origins and forward into endless future—highlighting the paradox of infinite sets within infinity. **In simple terms:** It describes endless past and future infinities. Key Takeaway Consider how infinite concepts shape your worldview. Themes philosophy mathematics existentialism Mood contemplative curious Type philosophical inspirational When to use this quote - cosmology discussions - philosophical debates - creative writing - abstract art - theoretical physics Key Concepts Infinity paradox set theory Questions to Reflect On - How do you relate to the idea of infinite possibilities? - What limits does thinking in infinities impose? A Different Perspective Infinity can be abstract and hard to grasp, limiting practical application. ★ ★ ★ ★ ★ No ratings yet [Infinities](https://sms4smile.com/quotes/about/infinities/) [Infinity](https://sms4smile.com/quotes/about/infinity/) [Time](https://sms4smile.com/quotes/about/time/) ## Related quotes > [Infinities and indivisibles transcend our finite understanding, the former on account of their magnitude, the latter because of their smallness; Imagine what they are…](https://sms4smile.com/quotes/galileo-galilei/infinities-and-indivisibles-transcend-our-finite-understanding-the/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) > [“we'd had this brief but infinite forever. Some infinities are bigger than other infinities.”](https://sms4smile.com/quotes/john-green/we-d-had-this-brief-but-infinite-forever-some-infinities-are-bigger/) [John Green](https://sms4smile.com/quotes/author/john-green/) > [I see the beauty of God's archetypal infinity reflected in the towers of infinities in set theory](https://sms4smile.com/quotes/vern-poythress/i-see-the-beauty-of-god-s-archetypal-infinity-reflected-in-the-towers/) [Vern Poythress](https://sms4smile.com/quotes/author/vern-poythress/) > [In the western philosophy you can't perceive infinities at every moment. It's not there to do.](https://sms4smile.com/quotes/frederick-lenz/in-the-western-philosophy-you-can-t-perceive-infinities-at-every/) [Frederick Lenz](https://sms4smile.com/quotes/author/frederick-lenz/) > [“like we’d had this brief but still infinite forever. Some infinities are bigger than other infinities.”](https://sms4smile.com/quotes/john-green/like-we-d-had-this-brief-but-still-infinite-forever-some-infinities/) [John Green](https://sms4smile.com/quotes/author/john-green/) > [There are two infinities: God and stupidity.](https://sms4smile.com/quotes/edgard-varese/there-are-two-infinities-god-and-stupidity/) [Edgard Varese](https://sms4smile.com/quotes/author/edgard-varese/) > [It seemed like forever ago, like we've had this brief but still infinite forever. Some infinities are bigger than other infinities.](https://sms4smile.com/quotes/john-green/it-seemed-like-forever-ago-like-we-ve-had-this-brief-but-still/) [John Green](https://sms4smile.com/quotes/author/john-green/) > [Some infinities are bigger than other infinities.](https://sms4smile.com/quotes/john-green/some-infinities-are-bigger-than-other-infinities/) [John Green](https://sms4smile.com/quotes/author/john-green/) > [“If infinities are signs of missing unification, a unified theory will have none. It will be what we call a finite theory, a theory…](https://sms4smile.com/quotes/lee-smolin/if-infinities-are-signs-of-missing-unification-a-unified-theory-will/) [Lee Smolin](https://sms4smile.com/quotes/author/lee-smolin/) > [There are two infinities in this world: God up above, and down below, human baseness.](https://sms4smile.com/quotes/jules-de-goncourt/there-are-two-infinities-in-this-world-god-up-above-and-down-below/) [Jules de Goncourt](https://sms4smile.com/quotes/author/jules-de-goncourt/) > [ \[Georg Cantor was the first to prove that there could be a series of infinities; that infinities come in an infinite number of sizes.\]… ](https://sms4smile.com/quotes/sara-maitland/georg-cantor-was-the-first-to-prove-that-there-could-be-a-series-of/) [Sara Maitland](https://sms4smile.com/quotes/author/sara-maitland/) > [We have never observed infinity in nature. Whenever you have infinities in a theory, that's where the theory fails as a description of nature.…](https://sms4smile.com/quotes/janna-levin/we-have-never-observed-infinity-in-nature-whenever-you-have/) [Janna Levin](https://sms4smile.com/quotes/author/janna-levin/) > [“No behavior has an infinite set of possibilities. Think of a lightning strike, although the state space is very high the bolt never make…](https://sms4smile.com/quotes/rick-delmonico/no-behavior-has-an-infinite-set-of-possibilities-think-of-a-lightning/) [Rick Delmonico](https://sms4smile.com/quotes/author/rick-delmonico/) > [“There were millions of different infinities and they weren’t only measured in time, but in people. And in each one, I could find a…](https://sms4smile.com/quotes/mackie-burt/there-were-millions-of-different-infinities-and-they-weren-t-only/) [Mackie Burt](https://sms4smile.com/quotes/author/mackie-burt/) > [“In Cantor's mind there were an infinite number of infinities-the transfinite numbers-each nested in the other. Aleph 0 is smaller than Aleph 1, which…](https://sms4smile.com/quotes/charles-seife/in-cantor-s-mind-there-were-an-infinite-number-of-infinities-the/) [Charles Seife](https://sms4smile.com/quotes/author/charles-seife/) ## More by David Levithan > [“When you jump, all you're going to do is fall. But leaping? Leaping is when you think there's something on the other side.”](https://sms4smile.com/quotes/david-levithan/when-you-jump-all-you-re-going-to-do-is-fall-but-leaping-leaping-is/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“The past and the future are what's complicated. It's the present that's simple. And the simplicity is the sensation of it being just her…](https://sms4smile.com/quotes/david-levithan/the-past-and-the-future-are-what-s-complicated-it-s-the-present-that/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“I hate the way you talk to me And the way you cut your hair I hate the way you drive my car I…](https://sms4smile.com/quotes/david-levithan/i-hate-the-way-you-talk-to-me-and-the-way-you-cut-your-hair-i-hate/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [You could be the leaf that never falls from the tree you could be the sun that never leaves the sky this might be…](https://sms4smile.com/quotes/david-levithan/you-could-be-the-leaf-that-never-falls-from-the-tree-you-could-be-the/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“Patrick: Is she worth the trouble? Cameron: I thought she was- Patrick: Either she is, or she isn't. So give it a shot, or…](https://sms4smile.com/quotes/david-levithan/patrick-is-she-worth-the-trouble-cameron-i-thought-she-was-patrick/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“We saw our friends die. But we also see our friends live. So many of them live, and we often toast their long and…](https://sms4smile.com/quotes/david-levithan/we-saw-our-friends-die-but-we-also-see-our-friends-live-so-many-of/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [maybe tonight you're scared of falling, and maybe there's somebody here or somewhere else you're thinking about, worrying over, fretting over, trying to figure…](https://sms4smile.com/quotes/david-levithan/maybe-tonight-you-re-scared-of-falling-and-maybe-there-s-somebody/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“You never told me what you saw in him, not convincingly.”](https://sms4smile.com/quotes/david-levithan/you-never-told-me-what-you-saw-in-him-not-convincingly/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“i nod to the other will grayson, up onstage. he nods to me. we have something between us, him and me. but the truth?…](https://sms4smile.com/quotes/david-levithan/i-nod-to-the-other-will-grayson-up-onstage-he-nods-to-me-we-have/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [The terrorists-those nineteen people, with hundreds or maybe thousands behind them-did the worst thing you can possibly imagine. But tens of millions people did…](https://sms4smile.com/quotes/david-levithan/the-terrorists-those-nineteen-people-with-hundreds-or-maybe-thousands/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [But I still has enough longing for that concept that I didn't want to dispel it completely. Meaning: I didn't want to tell Lily…](https://sms4smile.com/quotes/david-levithan/but-i-still-has-enough-longing-for-that-concept-that-i-didn-t-want-to/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“When you break someone's heart, you also break yours.”](https://sms4smile.com/quotes/david-levithan/when-you-break-someone-s-heart-you-also-break-yours/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“Because toward the end all the words started leaving. Except for the ones that had to lock up at the end of the night.”](https://sms4smile.com/quotes/david-levithan/because-toward-the-end-all-the-words-started-leaving-except-for-the/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“ misgivings , n . Last night, I got up the courage to ask you if you regretted us. "There are things I miss,"…](https://sms4smile.com/quotes/david-levithan/misgivings-n-last-night-i-got-up-the-courage-to-ask-you-if-you/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) > [“Saving others is always more important than saving yourself. It has to be, or none of us would do any good.”](https://sms4smile.com/quotes/david-levithan/saving-others-is-always-more-important-than-saving-yourself-it-has-to/) [David Levithan](https://sms4smile.com/quotes/author/david-levithan/) [Explore all 1,648 David Levithan quotes ](https://sms4smile.com/quotes/author/david-levithan/) ## More Distance quotes > [Distance is a test of love. many will fail for those who can't withstand it, but for those who can, theres only one answer…](https://sms4smile.com/quotes/anonymous/distance-is-a-test-of-love-many-will-fail-for-those-who-can-t/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [I raised another shot. "That sound you hear is the heads of moral conservatives spontaneously exploding in the distance.](https://sms4smile.com/quotes/rob-thurman/i-raised-another-shot-that-sound-you-hear-is-the-heads-of-moral/) [Rob Thurman](https://sms4smile.com/quotes/author/rob-thurman/) > [I think hair gel was invented to make it easier to identify assholes from a distance.](https://sms4smile.com/quotes/demetri-martin/i-think-hair-gel-was-invented-to-make-it-easier-to-identify-assholes/) [Demetri Martin](https://sms4smile.com/quotes/author/demetri-martin/) > [Distance sometimes endears friendship, and absence sweeteneth it.](https://sms4smile.com/quotes/james-howell/distance-sometimes-endears-friendship-and-absence-sweeteneth-it/) [James Howell](https://sms4smile.com/quotes/author/james-howell/) > [Prison experience puts distance between me and any person who hasn't been there, done that.](https://sms4smile.com/quotes/patricia-mcconnell/prison-experience-puts-distance-between-me-and-any-person-who-hasn-t/) [Patricia McConnell](https://sms4smile.com/quotes/author/patricia-mcconnell/) > [At a distance, we cannot conceive of the authority of a despot who knows all his subjects on sight.](https://sms4smile.com/quotes/stendhal/at-a-distance-we-cannot-conceive-of-the-authority-of-a-despot-who/) [Stendhal](https://sms4smile.com/quotes/author/stendhal/) > [When somebody mentions that I did a play with George C. Scott, I'm like, it can't have happened. What was I doing on a…](https://sms4smile.com/quotes/paul-dano/when-somebody-mentions-that-i-did-a-play-with-george-c-scott-i-m-like/) [Paul Dano](https://sms4smile.com/quotes/author/paul-dano/) > [She watched the prairies the rivers, the towns slipping past at an untouchable distance below - and she noted that the sense of detachment…](https://sms4smile.com/quotes/ayn-rand/she-watched-the-prairies-the-rivers-the-towns-slipping-past-at-an/) [Ayn Rand](https://sms4smile.com/quotes/author/ayn-rand/) > [Memories seem to surface in no particular order, with no time attached. Yesterday can seem as distant as last year. My life now consists…](https://sms4smile.com/quotes/linda-olsson/memories-seem-to-surface-in-no-particular-order-with-no-time-attached/) [Linda Olsson](https://sms4smile.com/quotes/author/linda-olsson/) > [I've never bought this idea of taking a therapeutic distance. If I see a student or house staff cry, I take great faith in…](https://sms4smile.com/quotes/abraham-verghese/i-ve-never-bought-this-idea-of-taking-a-therapeutic-distance-if-i-see/) [Abraham Verghese](https://sms4smile.com/quotes/author/abraham-verghese/) > [Combining the experience of a seasoned university president with the analysis of a respected legal scholar, Derek Bok explores what he concludes are 'signs…](https://sms4smile.com/quotes/frank-h-t-rhodes/combining-the-experience-of-a-seasoned-university-president-with-the/) Frank H. T. Rhodes > [To be a champion long-distance runner you have to run on the edge of death.](https://sms4smile.com/quotes/toshihiko-seko/to-be-a-champion-long-distance-runner-you-have-to-run-on-the-edge-of/) Toshihiko Seko > [The sectaries of a persecuted religion, depressed by fear, animated with resentment, and perhaps heated by enthusiasm, are seldom in a proper temper of…](https://sms4smile.com/quotes/edward-gibbon/the-sectaries-of-a-persecuted-religion-depressed-by-fear-animated/) [Edward Gibbon](https://sms4smile.com/quotes/author/edward-gibbon/) > [Within walking distance of any spot on Earth there's probably more than enough mystery to investigate in a lifetime.](https://sms4smile.com/quotes/alix-kates-shulman/within-walking-distance-of-any-spot-on-earth-there-s-probably-more/) [Alix Kates Shulman](https://sms4smile.com/quotes/author/alix-kates-shulman/) > [It takes a little more time to get into the role, but not very much more. In making a record you don't have the…](https://sms4smile.com/quotes/maria-callas/it-takes-a-little-more-time-to-get-into-the-role-but-not-very-much/) [Maria Callas](https://sms4smile.com/quotes/author/maria-callas/) Browse all 3,296 Distance quotes ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "Two infinities: the one that stretches to the beginning but never touches-when you halve and halve and halve, infinitely-and then the one that spreads out into the endless, endless future, the endless, endless, distance.The set of infinities that is itself infinite.", "creator": { "@type": "Person", "name": "David Levithan" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/david-levithan/two-infinities-the-one-that-stretches-to-the-beginning-but-never/", "about": { "@type": "Thing", "name": "Distance" }, "@id": "https://sms4smile.com/quotes/david-levithan/two-infinities-the-one-that-stretches-to-the-beginning-but-never/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/494/david-levithan-67_distance_two-infinities-the-one-that-stretches-to_2517313.jpg", "contentUrl": "https://sms4smile.com/quotes/i/494/david-levithan-67_distance_two-infinities-the-one-that-stretches-to_2517313.jpg", "url": "https://sms4smile.com/quotes/i/494/david-levithan-67_distance_two-infinities-the-one-that-stretches-to_2517313.jpg", "width": 1080, "height": 1080, "caption": "“Two infinities: the one that stretches to the beginning but never touches-when you halve and halve and…” — David Levithan", "creditText": "SMS4Smile Quotes", "creator": { "@id": "https://sms4smile.com/quotes/#organization" } } }, { "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://sms4smile.com/" }, { "@type": "ListItem", "position": 2, "name": "Quotes", "item": "https://sms4smile.com/quotes/" }, { "@type": "ListItem", "position": 3, "name": "David Levithan", "item": "https://sms4smile.com/quotes/author/david-levithan/" }, { "@type": "ListItem", "position": 4, "name": "Two infinities: the one that stretches...", "item": "https://sms4smile.com/quotes/david-levithan/two-infinities-the-one-that-stretches-to-the-beginning-but-never/" } ], "@id": "https://sms4smile.com/quotes/david-levithan/two-infinities-the-one-that-stretches-to-the-beginning-but-never/#breadcrumb" }, { "@type": "WebSite", "@id": "https://sms4smile.com/quotes/#website", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "publisher": { "@id": "https://sms4smile.com/quotes/#organization" } }, { "@type": "Organization", "@id": "https://sms4smile.com/quotes/#organization", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "logo": { "@type": "ImageObject", "url": "https://sms4smile.com/quotes/wp-content/themes/sq/assets/icons/icon-512.png", "width": 512, "height": 512 } } ] } ```