Defining Numbers & Functions Using SET THEORY // Foundations of Mathematics
We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as th...

Dr. Trefor Bazett
49.7K views • Aug 31, 2020

About this video
We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as the basic building blocks of so much of math. In this video we are going to see how we can think of numbers and functions in terms of sets.
0:00 The Definition Problem
1:44 Set Theory
3:50 Numbers in Set Theory
6:48 Functions in Set Theory
COURSE PLAYLISTS:
â–ºCALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
â–º CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
â–ºMULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
â–ºDIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
â–ºDISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
â–ºLINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
OTHER PLAYLISTS:
â–º Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
â–ºCool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
â–ºJoin: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
â–º My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
â–ºTwitter (math based): http://twitter.com/treforbazett
â–ºInstagram (photography based): http://instagram.com/treforphotography
0:00 The Definition Problem
1:44 Set Theory
3:50 Numbers in Set Theory
6:48 Functions in Set Theory
COURSE PLAYLISTS:
â–ºCALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
â–º CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
â–ºMULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
â–ºDIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
â–ºDISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
â–ºLINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
OTHER PLAYLISTS:
â–º Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
â–ºCool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
â–ºJoin: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
â–º My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
â–ºTwitter (math based): http://twitter.com/treforbazett
â–ºInstagram (photography based): http://instagram.com/treforphotography
Tags and Topics
Browse our collection to discover more content in these categories.
Video Information
Views
49.7K
Likes
1.9K
Duration
13:11
Published
Aug 31, 2020
User Reviews
4.7
(9) Related Trending Topics
LIVE TRENDSRelated trending topics. Click any trend to explore more videos.
Trending Now