This Paradox Has a Huge Flawed Premise скачать в хорошем качестве

This Paradox Has a Huge Flawed Premise

Join the channel to get exclusive and early videos, original music, lecture videos, and more!    / @wrathofmath   🛍 Check out my math fashion brand: https://mathshion.com/ More Math Chats:    • Math Chats   Business Inquiries: [email protected] We introduce Berry's Paradox which concerns the set of natural numbers which can be described in less than 20 words. We go over the paradox, a little history, and then investigate some resolutions to the paradox. First we consider a linguistic argument concerning the orders of description, then we'll investigate the premise that finitely many descriptions must be held for only finitely many numbers, and how this can be broken within perfectly good reason. #mathpuzzle #paradox #maths Sources: [1] French, James D. “The False Assumption Underlying Berry’s Paradox.” The Journal of Symbolic Logic, vol. 53, no. 4, 1988, pp. 1220–23 [2] Paradoxes From A to Z by Michael Clark More math chats:    • Math Chats   Textbooks I Like! Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Abstract Algebra: https://amzn.to/3IjoZaO Linear Algebra: https://amzn.to/43xAWEz Calculus: https://amzn.to/3PieD1M Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/4d5HbUQ Discrete Math: https://amzn.to/3qfhoUn Number Theory: https://amzn.to/3JqpOQd ★DONATE★ ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● TikTok:   / wrathofmathedu   ● X: https://x.com/wrathofmathedu 0:00 Intro 1:04 Paradox 4:04 Linguistic Argument 5:02 The Hidden Premise 8:45 Resolving the Paradox 9:04 That's Cheating! 10:37 The Paradox Lives...and Dies 13:37 Conclusion