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Math's Strangest Set

165K views · Apr 2, 2025 · Education

Comments · 681

  • @AbideByReason · 5 months ago · pinned

    Join my Patreon community: <a href="https://www.patreon.com/abidebyreason">https://www.patreon.com/abidebyreason</a>

    7

  • @thevegannerd · 1 year ago

    Whenever the axiom of choice is invoked you know there&apos;s some absolutely arcane shenanigans about to be pulled

    763

  • @chri-k · 1 year ago

    the axiom of choice likes causing weird outcomes

    799

  • @alielhajj7769 · 1 year ago

    that&apos;s basically the quotient set R/Q and taking representatives from [0,1), great video to explain this concept for someone with no background in abstract algebra

    257

  • @pierreabbat6157 · 1 year ago

    I heard &quot;irrational&quot; when you said &quot;a rational&quot;.

    318

  • @javen9693 · 1 year ago

    Zermelo not only invented the Axiom of Choice, but also the Axiom of No Backsies.

    22

  • @kingamhYT · 1 year ago

    This Is the type &nbsp;of videos that you don&apos;t &nbsp;understand &nbsp;the first &nbsp;time watch it . And you have to rewatch it after &nbsp;years to understand &nbsp;it

    13

  • @NotSomeJustinWithoutAMoustache · 1 year ago

    Damn, Veritasium&apos;s explanation really simplified a lot of the concepts at play here. I managed to follow through this video, but if I hadn&apos;t watched his video first I might have gotten lost here.

    132

  • @RandomAndgit · 1 year ago

    Underrated maths channel sighted! This is a great video and explains the topic very well. I&apos;m excited to see what you make in the future.

    31

  • @diribigal · 1 year ago (edited)

    While the text on screen is correct, the procedure being shown in the animation around <a href="https://www.youtube.com/watch?v=hs3eDa3_DzU&amp;t=330">5:30</a>-<a href="https://www.youtube.com/watch?v=hs3eDa3_DzU&amp;t=340">5:40</a> might mislead people into thinking pi/6-1 should go in a brand new box when it&apos;s compared with pi/4 or similar, instead of going with the pi/6 box. (Also, around <a href="https://www.youtube.com/watch?v=hs3eDa3_DzU&amp;t=649">10:49</a> there&apos;s a weird mixture of subset and inequality notation.) Otherwise, this is a great video explaining an important concept in real analysis!

    117

  • @TheHebrewMathematician · 1 year ago

    Amazing video! I wish there were more formal math channels like yourself!<br><br>Just one note, in the LaTex of union you should use the symbol \bigcup and not \cup, it&apos;s not really that important but you might benefit from it production wise!

    86

  • @keene538 · 1 year ago

    excellent thumbnail and video. can’t wait for these videos to blow up 🥹

    12

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