The Rationals are Incomplete

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  • Опубликовано: 3 дек 2024

Комментарии • 9

  • @gutzimmumdo4910
    @gutzimmumdo4910 2 года назад +1

    you talk about upcoming vidoes in this one, is/will there be a continuation of this list?

  • @rookitchen
    @rookitchen 4 года назад

    just finished all 117 videos in this section... all videos were extremely clear. i love that you sometimes repeat yourself, as it gives my brain a cool down period. thank you for taking the time to expand all the sequences in the sequences of sequences. I'll prolly circle back to the group theory videos again. I found those videos to be much more challenging, and required me to take notes and memorize definitions. Anyways, thank you. I almost feel smart.

  • @ahmdkalef2252
    @ahmdkalef2252 6 лет назад +1

    Very helpful lecture. Are there any additional videos beyond this lecture of Topology and Analysis full list ? Thanks

  • @RichardAlsenz
    @RichardAlsenz 9 лет назад

    Simplest explanation of incompleteness of rational numbers I have seen. Thanks!

  • @davidstroup3737
    @davidstroup3737 4 года назад

    ok...after watching these i went to the nptel site and am now watching the real analysis videos with prof. kulkarni...i was fortunately reading the book "axioms and set theory" by Robert Andre which helped alot (i just read the first 150 pages or so, didn't do any of the hw, and I was good to go for kulkarni's first 10 lectures)....Prof. Kulkarni blows through completeness of l^p spaces and rarely takes time to elaborate, so ben's videos are a valuable resource, especially for someone like me who has a job and doesnt have time to do 3 hours or more of hw a night. I tried to watch a set of algebraic topology videos but the guy blew through the definition of continuity in like 1 second, and so I was like, no thanks. I may try nptels videos on topology.

  • @adressepoubelle6488
    @adressepoubelle6488 7 лет назад

    Your videos are so good !

  • @jangyasenibiswal3420
    @jangyasenibiswal3420 6 лет назад

    Thank u sir. My all doubt are clear.

  • @bobbyjohnston416
    @bobbyjohnston416 4 года назад

    SIN COSINE COSINE SINE THREE POINT ONE FOUR ONE FIVE NINE

  • @shobiaali3690
    @shobiaali3690 6 лет назад

    soo nice