--- title: "Meaning & Key Takeaway of: But let us remember that we are dealing…" description: "\"But let us remember that we are dealing with infinities and indivisibles both of which transcend our finite understanding, the former on account of the..." image: "https://sms4smile.com/quotes/i/3c2/galileo-galilei-2377_accounts_but-let-us-remember-that-we-are-dealing_3079304.png" --- # But let us remember that we are dealing with infinities… ![“But let us remember that we are dealing with infinities and indivisibles both of which transcend our finite understanding, the former on account of their magnitude, the latter because of their smallness.” quote by Galileo Galilei](https://sms4smile.com/quotes/i/3c2/galileo-galilei-2377_accounts_but-let-us-remember-that-we-are-dealing_3079304.png) [Download](https://sms4smile.com/quotes/i/3c2/galileo-galilei-2377_accounts_but-let-us-remember-that-we-are-dealing_3079304.png) [Open image](https://sms4smile.com/quotes/i/3c2/galileo-galilei-2377_accounts_but-let-us-remember-that-we-are-dealing_3079304.png) > “But let us remember that we are dealing with infinities and indivisibles both of which transcend our finite understanding, the former on account of their magnitude, the latter because of their smallness.” [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Infinite and infinitesimal concepts exceed human comprehension due to their vastness and minuteness. **In simple terms:** Huge and tiny ideas are beyond our mind's grasp. Key Takeaway Accept limits while exploring mathematics. Themes philosophy mathematics humility Mood reflective inquisitive Type philosophical scientific When to use this quote - theoretical research - educational curricula - philosophical debate Key Concepts infinite sets infinitesimals cognitive limits Questions to Reflect On - What methods help us grasp abstract magnitudes? - Can we ever fully understand the infinite? A Different Perspective Human intuition struggles with extreme scales. ★ ★ ★ ★ ★ No ratings yet [Accounts](https://sms4smile.com/quotes/about/accounts/) [Dealing Infinities](https://sms4smile.com/quotes/about/dealing-infinities-5245001/) [Finite](https://sms4smile.com/quotes/about/finite/) [Finite Understanding](https://sms4smile.com/quotes/about/finite-understanding-1604455/) [Former](https://sms4smile.com/quotes/about/former/) [Imagine](https://sms4smile.com/quotes/about/imagine/) [Infinities](https://sms4smile.com/quotes/about/infinities/) [Infinities Indivisibles](https://sms4smile.com/quotes/about/infinities-indivisibles-1604452/) [Infinity](https://sms4smile.com/quotes/about/infinity/) [Latter](https://sms4smile.com/quotes/about/latter/) [Learning](https://sms4smile.com/quotes/about/learning/) [Magnitude](https://sms4smile.com/quotes/about/magnitude/) [Smallness](https://sms4smile.com/quotes/about/smallness/) [Understanding](https://sms4smile.com/quotes/about/understanding/) ## 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/) > [This is what one thirsts for, I realize, after the smallness of the day, of work, of details, of intimacy - even of communication,…](https://sms4smile.com/quotes/anne-morrow-lindbergh/this-is-what-one-thirsts-for-i-realize-after-the-smallness-of-the-day/) [Anne Morrow Lindbergh](https://sms4smile.com/quotes/author/anne-morrow-lindbergh/) > [ \[Georg Cantor was the first to prove that there could be a series of infinities; that infinities come in an infinite number of sizes.\]… ](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/) > [“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/) > [“If infinities are signs of missing unification, a unified theory will have none. 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He was a… ](https://sms4smile.com/quotes/galileo-galilei/among-the-great-men-who-have-philosophized-about-the-action-of-the/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) > [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/) > [I do not feel obliged to believe that the same God who has endowed us with senses, reason, and intellect has intended us to…](https://sms4smile.com/quotes/galileo-galilei/i-do-not-feel-obliged-to-believe-that-the-same-god-who-has-endowed-us/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) > [What ever the course of our lives, we should recieve them as the highest gift from the hand of God, in which equally reposed…](https://sms4smile.com/quotes/galileo-galilei/what-ever-the-course-of-our-lives-we-should-recieve-them-as-the/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) > [I cannot but be astonished that Sarsi should persist in trying to prove by means of witnesses something that I may see for myself…](https://sms4smile.com/quotes/galileo-galilei/i-cannot-but-be-astonished-that-sarsi-should-persist-in-trying-to/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) > [I would say here something that was heard from an ecclesiastic of the most eminent degree: The intention of the Holy Spirit is to…](https://sms4smile.com/quotes/galileo-galilei/i-would-say-here-something-that-was-heard-from-an-ecclesiastic-of-the/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) > [Some, merely to contradict what I had said, did not scruple to cast doubt upon things they had seen with their own eyes again…](https://sms4smile.com/quotes/galileo-galilei/some-merely-to-contradict-what-i-had-said-did-not-scruple-to-cast/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) > [By denying scientific principles, one may maintain any paradox.](https://sms4smile.com/quotes/galileo-galilei/by-denying-scientific-principles-one-may-maintain-any-paradox/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) [Explore all 166 Galileo Galilei quotes ](https://sms4smile.com/quotes/author/galileo-galilei/) ## More Accounts quotes > [I think most artists feel like they're outside society - no matter how many accolades they receive, or how much money is in your…](https://sms4smile.com/quotes/aaron-rose/i-think-most-artists-feel-like-they-re-outside-society-no-matter-how/) [Aaron Rose](https://sms4smile.com/quotes/author/aaron-rose/) > [Think of these things, whence you came, where you are going, and to whom you must account.](https://sms4smile.com/quotes/benjamin-franklin/think-of-these-things-whence-you-came-where-you-are-going-and-to-whom/) [Benjamin Franklin](https://sms4smile.com/quotes/author/benjamin-franklin/) > [Believing with you that religion is a matter which lies solely between man and his God, that he owes account to none other for…](https://sms4smile.com/quotes/thomas-jefferson/believing-with-you-that-religion-is-a-matter-which-lies-solely/) [Thomas Jefferson](https://sms4smile.com/quotes/author/thomas-jefferson/) > [There is nothing that we can properly call our own but our time, and yet everybody fools us out of it who has a…](https://sms4smile.com/quotes/seneca-the-younger/there-is-nothing-that-we-can-properly-call-our-own-but-our-time-and/) [Seneca the Younger](https://sms4smile.com/quotes/author/seneca-the-younger/) > [The Hindus have a peculiar slovenliness in business matters, not being sufficiently methodical and strict in keeping accounts etc.](https://sms4smile.com/quotes/swami-vivekananda/the-hindus-have-a-peculiar-slovenliness-in-business-matters-not-being/) [Swami Vivekananda](https://sms4smile.com/quotes/author/swami-vivekananda/) > [With the Truman book, I wrote the entire account of his experiences in World War I before going over to Europe to follow his…](https://sms4smile.com/quotes/david-mccullough/with-the-truman-book-i-wrote-the-entire-account-of-his-experiences-in/) [David McCullough](https://sms4smile.com/quotes/author/david-mccullough/) > [A great read; an exciting, frightening account of organized crime today. 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