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Title:The Most Fascinating Puzzles in the Philosophy of Mathematics | w/Dr. Mark Colyvan - ep. 168
Duration:01:33:31
Viewed:3,527
Published:07-04-2022
Source:Youtube

What are numbers? Are the real entities out there in the world? In some other realm? Should we be Platonists about numbers? How can abstract mathematics be so applicable to our everyday existence? These are some of the questions Dr. Mark Colyvan and I discuss in this episode of the Parker's Pensées Podcast. Find more of Mark's work here: www.colyvan.com/ If you like this podcast, then support it on Patreon for $1, $3, or $5 a month. Any amount helps, and for $5 you get a Parker's Pensées sticker and instant access to all the episode as I record them instead of waiting for their release date. Check it out here: Patreon: www.patreon.com/parkers_pensees If you want to give a one-time gift, you can give at my Paypal: paypal.me/ParkersPensees?locale.x=en_US Check out my merchandise at my Teespring store: teespring.com/stores/parkers-penses-merch Check out my blog posts: parkersettecase.com/ Check out my Parker's Pensées YouTube Channel: /channel/UCYbTRurpFP5q4TpDD_P2JDA Check out my other YouTube channel on my frogs and turtles: youtube.com/c/ParkerSettecase Check me out on Twitter: twitter.com/trendsettercase Instagram: www.instagram.com/parkers_pensees/ Time Is Running by MusicLFiles Link: filmmusic.io/song/6203-time-is-running License: creativecommons.org/licenses/by/4.0/ 0:00 - How Mark Colyvan got into Phil of Math 5:54 - Philosophical Mathematics vs. Mathematical Philosophy 11:10 - What is Logicism? 13:30 - Gödel's 1st and 2nd Incompleteness Theorems 23:55 - What is Formalism? 32:10 - Lucas/Penrose's Use of Gödel's incompleteness in phil mind 39:44 - What is Intuitionism? 45:40 - Wigner's Unreasonable Effectiveness of Mathematics 51:06 - Zeno's Paradoxes vs Wigner's Effectiveness 57:30 - Why is Math Unreasonably Effective in the Natural Sciences? 108:18 - What is Realism about Mathematics? 1:19:50 - The Benacerraf Dilemma 1:28:18 - Is God a Good Explanation for Mathematics??

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