Zorn's Lemma, The Well-Ordering Theorem, and Undefinability | Nathan Dalaklis
Zorn's Lemma and The Well-ordering Theorem are seemingly straightforward statements, but they give incredibly mind-bending results. Orderings, Hasse Diagrams, and the Ordinals will come up in this video as tools to get a better view of where the proof of Zorn's lemma comes from. ***Corrections: Near the end of the video, an open interval is mentioned, but a half open half closed interval is drawn. The open interval to which I refer is the one drawn in white chalk. Find the CHALKboard on Facebook: http://bit.ly/CHALKboard Interested in the person behind the camera? See what Nathan's up to on these platforms! Instagram: http://bit.ly/INSTAnatedlock Twitter: http://bit.ly/TWITTnatedlock _____________________ ---------------------------------- #CHALK #ZornsLemma #SetTheory _____________________ ----------------------------------
Topology, Gluing Diagrams, and Game Design | Nathan Dalaklis
Zorn's Lemma, The Well-Ordering Theorem, and Undefinability (Version 2.0)
Zorn’s Lemma and Basis
Zorn's Lemma Demystified
The Axiom of Choice: History, Intuition, and Conflict
Why you can't comb a hairy ball, and why we care
The Axiom of Choice
Lecture 5: Zorn’s Lemma and the Hahn-Banach Theorem
MIT Godel Escher Bach Lecture 1
Zermelo Fraenkel Choice
Why This Is the Most Exciting Time to Be Human | Ken Ono, Axiom Math
We're 99.9% sure this pattern is true, but no one can prove it
Percolation: a Mathematical Phase Transition
Stabilizing an Unseen Triple Pendulum
Zorn's Lemma, 15 Essence of Set Theory
Death by infinity puzzles and the Axiom of Choice
William Dunham, A tribute to Euler
The Most Controversial Idea In Math
The Axiom of Choice
