• An intutive counterexample to the axiom of choice http://blog.rongarret.info/2023/01/an-intutive-counterexample-to-axiom-of.html 255 comments 23/1/2023
• Mathematical Existence and the Axiom of Choice https://billwadge.com/2022/11/28/to-be-or-not-to-be-mathematical-existence-and-the-axiom-of-choice/ 100 comments 28/11/2022
• The Axiom of Choice Is Wrong (2007) https://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ 149 comments 5/2/2017
• Independence of the Axiom of Choice (for programmers) https://www.patrickstevens.co.uk/independence-of-choice/ 5 comments 13/4/2016
• The Axiom of Choice Is Wrong (2007) https://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ 2 comments 9/2/2016

• The Axiom of Choice is Wrong https://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ 9 comments 15/5/2018 math

• "Axiom Of Choice" is a band https://www.youtube.com/channel/UCCHhs8FALeYzyWzmND515OQ 23 comments 22/1/2025 math
• "Nash Equilibrium and Axiom of Choice Are Equivalent", by Conrad Kosowsky. "I prove that existence of pure-strategy Nash equilibrium in games with infinitely many players is equivalent to the axiom of choice." [abstract + link to PDF, 4pp] https://arxiv.org/abs/2306.01790 42 comments 6/6/2023 math
• Pointfree topology and constructive mathematics. "[In] the topological perspective ... even a version of the axiom of choice can be understood as a constructive theorem."[abstract + link to PDF, 51pp] https://arxiv.org/abs/2304.06000 14 comments 14/4/2023 math
• Axiom of Choice (COMIC) https://alike-laugh-2b0.notion.site/COMICS-c86d0fa2a271472cac0dc906de4e3f6e 24 comments 17/9/2022 math
• Zornian Functional Analysis or: How I Learned to Stop Worrying and Love the Axiom of Choice | Asaf Karagila just put out an expository paper about functional analysis without the full axiom of choice https://arxiv.org/abs/2010.15632 4 comments 30/10/2020 math
• [Blog post by Asaf Karagila] Flow and the Partition Principle: Conclusions. "Just over two weeks ago a paper on arXiv claimed the proof that the Axiom of Choice does not follow from the Partition Principe in ZF ... The paper, as it stands, does not contain a sound proof of the claimed result." http://karagila.org/2020/flowing-to-conclusions/ 17 comments 27/10/2020 math
• Talk on modal logic and alternatives to the axiom of choice https://youtu.be/9ufWnIQIhGA 4 comments 6/8/2020 math
• A great explanation of the Axiom of Choice! https://math.vanderbilt.edu/schectex/ccc/choice.html 105 comments 22/6/2020 math
• Division By Three... without the use of the Axiom of Choice. A rather nicely-written paper I discovered a few days ago, by Doyle and Conway. https://arxiv.org/abs/math/0605779 25 comments 30/5/2019 math
• Axiom of Choice in Real Analysis https://www.reddit.com/r/math/comments/bsmsta/axiom_of_choice_in_real_analysis/ 92 comments 24/5/2019 math
• Mathoverflow - Why worry about the axiom of choice? https://mathoverflow.net/questions/22927/why-worry-about-the-axiom-of-choice 54 comments 10/4/2019 math
• Axiom of Choice https://www.reddit.com/r/math/comments/9utllr/axiom_of_choice/ 13 comments 6/11/2018 math
• Measure Theory and the Axiom of Choice https://www.reddit.com/r/math/comments/76ea3f/measure_theory_and_the_axiom_of_choice/ 50 comments 14/10/2017 math
• How the Axiom of Choice Gives Sizeless Sets | Infinite Series https://www.youtube.com/watch?v=_4TR34LZ74Y 21 comments 8/9/2017 math
• Constructing an Non-Lebesgue Measurable Set on R Without Invoking the Axiom of Choice https://www.reddit.com/r/math/comments/68wmaj/constructing_an_nonlebesgue_measurable_set_on_r/ 23 comments 2/5/2017 math
• Intresing puzzles and axiom of choice https://www.youtube.com/watch?amp%3Bab_channel=Mathologer&v=aDOP0XynAzA 16 comments 21/1/2017 math
• Why on Earth is the axiom of choice controversial? https://www.reddit.com/r/math/comments/5gqe65/why_on_earth_is_the_axiom_of_choice_controversial/ 193 comments 6/12/2016 math
• The Axiom of Choice is Wrong https://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ 94 comments 16/6/2016 math
• Free will, the constraints of rationality and the Axiom of Choice https://medium.com/@adalela/do-we-have-free-will-60dcb4fd0416 4 comments 12/11/2015 philosophy
• The potential (in)consistency of the axiom of choice http://math.stackexchange.com/questions/1289931/whats-wrong-with-this-proof-of-the-inconsistency-of-the-axiom-of-choice 12 comments 5/6/2015 math
• "Cohomology detects failures of the axiom of choice" - Andreas Blass http://www.ams.org/journals/tran/1983-279-01/s0002-9947-1983-0704615-7/s0002-9947-1983-0704615-7.pdf 8 comments 15/1/2015 math
• An interesting argument against Axiom of Choice I haven't seen before http://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ 124 comments 6/8/2014 math
• Kurt Gödel's original paper proving the consistency of the Axiom of Choice with ZF (less than 2 pages, requires prior knowledge...) http://www.ncbi.nlm.nih.gov/pmc/articles/pmc1077160/pdf/pnas01800-0034.pdf 16 comments 21/7/2014 math
• Avoiding the axiom of choice, part I http://byorgey.wordpress.com/2014/05/08/avoiding-the-axiom-of-choice-part-i/ 3 comments 17/6/2014 compsci
• Predicting the future using the Axiom of Choice [PDF] http://persweb.wabash.edu/facstaff/hardinc/pub/peculiar.pdf 38 comments 30/4/2010 math
• Prediction and the Axiom of Choice http://conflate.net/inductio/2008/08/prediction-and-the-axiom-of-choice/ 8 comments 22/9/2008 math
• The axiom of choice http://plus.maths.org/issue47/features/elwes1/index.html 6 comments 2/7/2008 math
• Axiom of Choice http://www.math.vanderbilt.edu/~schectex/ccc/choice.html 14 comments 19/3/2008 math
• The prisoner hat problem and an argument against the axiom of choice http://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ 22 comments 15/9/2007 programming
• Good Math, Bad Math : The Axiom of Choice http://scienceblogs.com/goodmath/2007/05/the_axiom_of_choice.php 2 comments 27/5/2007 programming
• "The Countable Reals", by Andrej Bauer & James Hanson. "We construct a topos in which the Dedekind reals are countable ... [I]t invalidates both the law of excluded middle and the axiom of countable choice. The Cauchy reals are uncountable." [abstract + link to PDF, 45pp] https://arxiv.org/abs/2404.01256 47 comments 2/4/2024 math
• "Exploring mathematical objects from custom-tailored mathematical universes", by Ingo Blechschmidt. "Toposes can be pictured as mathematical universes ... there are toposes in which the axiom of choice and the intermediate value theorem from undergraduate calculus fail" [abstract + link to 32pp PDF] https://arxiv.org/abs/2204.00948 13 comments 10/4/2022 math
• The Price of Mathematical Scepticism, by Paul Blain Levy. "We argue that those who doubt the Axiom of Choice or the bivalence of the Continuum Hypothesis should also doubt the consistency of third-order arithmetic." [abstract + link to PDF, 5pp] https://arxiv.org/abs/2107.12925 77 comments 28/7/2021 math
• The Axiom of Choice is Wrong? - solution to basic logic puzzle is deeply troubling to the intuitive correctness of the axiom of choice. http://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ 2 comments 15/9/2007 science