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     How the Axiom of Choice Gives Sizeless Sets | Infinite Series

     Sep 14, 2017

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     What's so wrong with the Axiom of Choice ?

     Mar 15, 2021

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     The Axiom of Choice: History, Intuition, and Conflict

     May 31, 2023

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2. www.youtube.com › watchThe Axiom of Choice | Epic Math Time - YouTube

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   Mar 17, 2021 · The axiom of choice states that the cartesian product of nonempty sets is nonempty. This doesn't sound controversial, and it might not even sound interesting...

   • Video Duration: 6 min
   • Views: 20.7K

   • Author: Epic Math Time

3. www.youtube.com › watchThe Axiom of Choice - YouTube

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   Is it possible to break a sphere into a small number of pieces and construct two spheres? By choosing to accept the controversial Axiom of Choice, this and o...

   • Video Duration: 9 min
   • Views: 30.8K

   • Author: Math at Andrews University

4. www.youtube.com › watchHow the Axiom of Choice Gives Sizeless Sets - YouTube

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   Sep 14, 2017 · Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfiDoes every set - or collection of nu...

   • Video Duration: 13 min
   • Views: 305.6K

   • Author: PBS Infinite Series

5. www.youtube.com › watchAxiom Of Choice - Valeh - Beyond Denial - X DOT 25 ... - YouTube

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   Oct 8, 2020 · “ . . . one of the wonders of World Trance Music” - LA Times. “Near Eastern art music, deeply moving and utterly beautiful” - by Rhythm Magazine."Beyond Deni...

   • Video Duration: 4 min
   • Views: 12.8K

   • Author: Radial by The Orchard

6. www.youtube.com › watchAxiom of Choice Ancient Sky - YouTube

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   Apr 6, 2013 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...

   • Video Duration: 7 min
   • Views: 29.7K

   • Author: Giuseppe Taormina

7. www.youtube.com › watchAxiom of Choice. Part 1 of 3. History of Axion and ... - YouTube

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   Feb 13, 2015 · Speaker starts @2:02 min after intro by meetup organizer Aaron L. @aaronmblevinPart 1 starts @4:25 min after speaker intro.Part of Matthew Mazowita @abstract...

   • Video Duration: 32 min
   • Views: 1186

   • Author: Gheorghe Curelet-Balan

8. People also ask

   What is the axiom of choice?

   • Another formulation of the axiom of choice is in terms of the Cartesian product of sets: the axiom of choice is the statement that the Cartesian product of an indexed collection of nonempty sets is nonempty : \ [ S_i \ne \emptyset \,\, \forall\,\, i \in {\mathcal {I}} \Rightarrow \prod_ {i\in\mathcal {I}} S_i \ne \emptyset.

   Axiom Of Choice | Brilliant Math & Science Wiki

   brilliant.org/wiki/axiom-of-choice/

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   Who is the author of the axiom of choice?

   • Jech is the author of the book titled The Axiom of Choice, which is not recent but is still excellent. He has worked in set theory, logic, and other areas since then. Some of his papers are available online. Saharon Shelah's papers . Shelah is one of the leading logicians of our century; he has made great contributions to the theory of forcing.

   Axiom of Choice - Vanderbilt University

   math.vanderbilt.edu/schectex/ccc/choice.html

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   What is Zermelo's axiom of choice?

   • The axiom of choice was initially introduced by Zermelo in order to prove the following theorem: Well-ordering Theorem Every set can be well-ordered: that is, there is a total order on the set such that every nonempty subset has a least element. This ordering may not be the most obvious order.

   Axiom Of Choice | Brilliant Math & Science Wiki

   brilliant.org/wiki/axiom-of-choice/

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   Which axiom of choice is logically consistent?

   • Of course, all three of these statements are logically equivalent; the point is that some forms of the axiom of choice are more intuitively believable than others. Gödel showed that ZFC was logically consistent in 1938, and Paul Cohen showed that ZF\ (\neg\)C was logically consistent in 1962.

   Axiom Of Choice | Brilliant Math & Science Wiki

   brilliant.org/wiki/axiom-of-choice/

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9. brilliant.org › wiki › axiom-of-choiceAxiom Of Choice | Brilliant Math & Science Wiki

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   Axiom Of Choice. . Retrieved 06:12, June 2, 2024, from. The axiom of choice is an axiom in set theory with wide-reaching and sometimes counterintuitive consequences. It states that for any collection of sets, one can construct a new set containing an element from each set in the original collection. In other words, one can choose an element ...