--- title: "Meaning & Key Takeaway of: The fool saith in his heart that there is…" description: "\"“The fool saith in his heart that there is no empty set. But if that were so, then the set of all such sets would be empty, and hence it would be the e..." image: "https://sms4smile.com/quotes/i/0f6/wesley-salmon-286583_fool_the-fool-saith-in-his-heart-that-there-i_2485008.jpg" --- # The fool saith in his heart that there is no empty set… ![“The fool saith in his heart that there is no empty set. But if that were so, then the set of all such sets would be empty, and hence it would be the empty set.” quote by Wesley Salmon](https://sms4smile.com/quotes/i/0f6/wesley-salmon-286583_fool_the-fool-saith-in-his-heart-that-there-i_2485008.jpg) [Download](https://sms4smile.com/quotes/i/0f6/wesley-salmon-286583_fool_the-fool-saith-in-his-heart-that-there-i_2485008.jpg) [Open image](https://sms4smile.com/quotes/i/0f6/wesley-salmon-286583_fool_the-fool-saith-in-his-heart-that-there-i_2485008.jpg) > ““The fool saith in his heart that there is no empty set. But if that were so, then the set of all such sets would be empty, and hence it would be the empty set.”” Wesley Salmon ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. The paradox challenges the notion of an empty set, showing that assuming its existence leads to contradiction. **In simple terms:** Empty set paradox illustrates logical limits. Key Takeaway Question assumptions about emptiness. Themes logic paradox set theory philosophy critical thinking Mood inquisitive intellectual skeptical Type philosophical analytical When to use this quote - classroom teaching - academic debate - intellectual discourse - writing essays Key Concepts mathematics philosophical reasoning education Questions to Reflect On - What does the paradox reveal about foundational assumptions? - How can such paradoxes inform logical reasoning? A Different Perspective May be too abstract for lay audiences. ★ ★ ★ ★ ★ No ratings yet [Fool](https://sms4smile.com/quotes/about/fool/) ## Related quotes > [Is the set of all sets which are not members of themselves a member of itself?](https://sms4smile.com/quotes/bertrand-russell/is-the-set-of-all-sets-which-are-not-members-of-themselves-a-member/) [Bertrand Russell](https://sms4smile.com/quotes/author/bertrand-russell/) > [Behold, the fool saith, "Put not all thine eggs in the one basket" - which is but a matter of saying, "Scatter your money…](https://sms4smile.com/quotes/mark-twain/behold-the-fool-saith-put-not-all-thine-eggs-in-the-one-basket-which/) [Mark Twain](https://sms4smile.com/quotes/author/mark-twain/) > [“Theorem: Consider the set of all sets that have never been considered. Hey! They're all gone!! Oh, well, never mind...”](https://sms4smile.com/quotes/david-batchelor/theorem-consider-the-set-of-all-sets-that-have-never-been-considered/) [David Batchelor](https://sms4smile.com/quotes/author/david-batchelor/) > [What sets 'Miss Peregrine's Home for Peculiar Children' apart is Riggs's use of 'found' photographs as a spark of inspiration for the narrative. 'Found'…](https://sms4smile.com/quotes/claire-cameron/what-sets-miss-peregrine-s-home-for-peculiar-children-apart-is-riggs/) [Claire Cameron](https://sms4smile.com/quotes/author/claire-cameron/) > [My audience loves seeing me pump large amounts of money into action and sets. And it works. I'm not saying that films made within…](https://sms4smile.com/quotes/rohit-shetty/my-audience-loves-seeing-me-pump-large-amounts-of-money-into-action/) [Rohit Shetty](https://sms4smile.com/quotes/author/rohit-shetty/) > [Once winter sets in I must have the sun and warmth. I need to be in the sun - I'm a true island baby.](https://sms4smile.com/quotes/narciso-rodriguez/once-winter-sets-in-i-must-have-the-sun-and-warmth-i-need-to-be-in/) [Narciso Rodriguez](https://sms4smile.com/quotes/author/narciso-rodriguez/) > [Whoever sets any bounds for the reconstructive power of the religious life over the social relations and institutions of men, to that extent denies…](https://sms4smile.com/quotes/walter-rauschenbusch/whoever-sets-any-bounds-for-the-reconstructive-power-of-the-religious/) [Walter Rauschenbusch](https://sms4smile.com/quotes/author/walter-rauschenbusch/) > [I was turning up at sets where inexperienced people were making these badly written films - but they were doing it; that was the…](https://sms4smile.com/quotes/dexter-fletcher/i-was-turning-up-at-sets-where-inexperienced-people-were-making-these/) [Dexter Fletcher](https://sms4smile.com/quotes/author/dexter-fletcher/) > [Nothing is so discouraging to an actor than to have to work for long hours upon hours in brightly lighted interior sets.](https://sms4smile.com/quotes/john-wayne/nothing-is-so-discouraging-to-an-actor-than-to-have-to-work-for-long/) [John Wayne](https://sms4smile.com/quotes/author/john-wayne/) > [“Nothing waits, every thing Sets, every body is Set.”](https://sms4smile.com/quotes/santosh-kalwar/nothing-waits-every-thing-sets-every-body-is-set/) [Santosh Kalwar](https://sms4smile.com/quotes/author/santosh-kalwar/) > [It is in the genes of cities to bounce back from disasters - whether natural or man made. The denizens of suburbia have no…](https://sms4smile.com/quotes/vikas-swarup/it-is-in-the-genes-of-cities-to-bounce-back-from-disasters-whether/) [Vikas Swarup](https://sms4smile.com/quotes/author/vikas-swarup/) > [Yet it is only love which sets us free.](https://sms4smile.com/quotes/maya-angelou/yet-it-is-only-love-which-sets-us-free/) [Maya Angelou](https://sms4smile.com/quotes/author/maya-angelou/) > [I don't believe that someone who sets up an institution should be able to take out the money from the institution or pay dividends…](https://sms4smile.com/quotes/pallam-raju/i-don-t-believe-that-someone-who-sets-up-an-institution-should-be/) [Pallam Raju](https://sms4smile.com/quotes/author/pallam-raju/) > [Sometimes on sets, I shut down, try to focus.](https://sms4smile.com/quotes/peter-dinklage/sometimes-on-sets-i-shut-down-try-to-focus/) [Peter Dinklage](https://sms4smile.com/quotes/author/peter-dinklage/) > [As we get more transparent with data sets about infrastructure and systems management, I have a feeling we'll see big changes in how we…](https://sms4smile.com/quotes/aaron-koblin/as-we-get-more-transparent-with-data-sets-about-infrastructure-and/) [Aaron Koblin](https://sms4smile.com/quotes/author/aaron-koblin/) ## More Fool quotes > [Do I look like a fool to you](https://sms4smile.com/quotes/tamika-leeigh/do-i-look-like-a-fool-to-you/) [Tamika-leeigh](https://sms4smile.com/quotes/author/tamika-leeigh/) > [So the fool, as distinct from the scoundrel, is completely self- satisfied; in fact, he can easily become dangerous, as it does not take…](https://sms4smile.com/quotes/dietrich-bonhoeffer/so-the-fool-as-distinct-from-the-scoundrel-is-completely-self/) [Dietrich Bonhoeffer](https://sms4smile.com/quotes/author/dietrich-bonhoeffer/) > [There are various orders of beauty, causing men to make fools of themselves in various styles.](https://sms4smile.com/quotes/george-eliot/there-are-various-orders-of-beauty-causing-men-to-make-fools-of/) [George Eliot](https://sms4smile.com/quotes/author/george-eliot/) > [“Not wise, perhaps, to be rude to the Pope's favorite son, but my viper tongue still required a fool now and then on which…](https://sms4smile.com/quotes/kate-quinn/not-wise-perhaps-to-be-rude-to-the-pope-s-favorite-son-but-my-viper/) [Kate Quinn](https://sms4smile.com/quotes/author/kate-quinn/) > [He's a fool that marries; but he's a greater fool that does not marry a fool.](https://sms4smile.com/quotes/william-wycherley/he-s-a-fool-that-marries-but-he-s-a-greater-fool-that-does-not-marry/) [William Wycherley](https://sms4smile.com/quotes/author/william-wycherley/) > [It's very easy to fool yourself that you're working, you know, when you're really not working very hard. I mean, I'm very lazy. So…](https://sms4smile.com/quotes/robert-caro/it-s-very-easy-to-fool-yourself-that-you-re-working-you-know-when-you/) [Robert Caro](https://sms4smile.com/quotes/author/robert-caro/) > [A fool and his money get a lot of publicity.](https://sms4smile.com/quotes/al-bernstein/a-fool-and-his-money-get-a-lot-of-publicity/) [Al Bernstein](https://sms4smile.com/quotes/author/al-bernstein/) > [There are different kinds of fire; there is false fire. No one knows this better than we do, but we are not such fools…](https://sms4smile.com/quotes/william-booth/there-are-different-kinds-of-fire-there-is-false-fire-no-one-knows/) [William Booth](https://sms4smile.com/quotes/author/william-booth/) > [Every man must wear out at least one pair of fools shoes.](https://sms4smile.com/quotes/earl-derr-biggers/every-man-must-wear-out-at-least-one-pair-of-fools-shoes/) [Earl Derr Biggers](https://sms4smile.com/quotes/author/earl-derr-biggers/) > [If at first you don't succeed, try, try again. Then quit. No use being a damn fool about it](https://sms4smile.com/quotes/wc-fields/if-at-first-you-don-t-succeed-try-try-again-then-quit-no-use-being-a/) [WC Fields](https://sms4smile.com/quotes/author/wc-fields/) > [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/) > [I'd be a fool to be in this for the money.](https://sms4smile.com/quotes/benny-hinn/i-d-be-a-fool-to-be-in-this-for-the-money/) [Benny Hinn](https://sms4smile.com/quotes/author/benny-hinn/) > [It is a fool of a shepherd who culls his dogs.](https://sms4smile.com/quotes/jefferson-smith/it-is-a-fool-of-a-shepherd-who-culls-his-dogs/) [Jefferson Smith](https://sms4smile.com/quotes/author/jefferson-smith/) > [Prefer to be defeated in the presence of the wise than to excel among fools.](https://sms4smile.com/quotes/anonymous/prefer-to-be-defeated-in-the-presence-of-the-wise-than-to-excel-among/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [A mistake doesnt make you a fool, but denying it surely makes you one.](https://sms4smile.com/quotes/vikrant-parsai/a-mistake-doesnt-make-you-a-fool-but-denying-it-surely-makes-you-one/) [Vikrant Parsai](https://sms4smile.com/quotes/author/vikrant-parsai/) [Browse all 5,535 Fool quotes ](https://sms4smile.com/quotes/about/fool/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "“The fool saith in his heart that there is no empty set. But if that were so, then the set of all such sets would be empty, and hence it would be the empty set.”", "creator": { "@type": "Person", "name": "Wesley Salmon" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/wesley-salmon/the-fool-saith-in-his-heart-that-there-is-no-empty-set-but-if-that/", "about": { "@type": "Thing", "name": "Fool" }, "@id": "https://sms4smile.com/quotes/wesley-salmon/the-fool-saith-in-his-heart-that-there-is-no-empty-set-but-if-that/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/0f6/wesley-salmon-286583_fool_the-fool-saith-in-his-heart-that-there-i_2485008.jpg", "contentUrl": "https://sms4smile.com/quotes/i/0f6/wesley-salmon-286583_fool_the-fool-saith-in-his-heart-that-there-i_2485008.jpg", "url": "https://sms4smile.com/quotes/i/0f6/wesley-salmon-286583_fool_the-fool-saith-in-his-heart-that-there-i_2485008.jpg", "width": 1080, "height": 1080, "caption": "“The fool saith in his heart that there is no empty set. But if that were so, then the set of all such sets…” — Wesley Salmon", "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": "Wesley Salmon", "item": "https://sms4smile.com/quotes/author/wesley-salmon/" }, { "@type": "ListItem", "position": 4, "name": "“The fool saith in his heart...", "item": "https://sms4smile.com/quotes/wesley-salmon/the-fool-saith-in-his-heart-that-there-is-no-empty-set-but-if-that/" } ], "@id": "https://sms4smile.com/quotes/wesley-salmon/the-fool-saith-in-his-heart-that-there-is-no-empty-set-but-if-that/#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 } } ] } ```