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New video! But WHY is a sphere's surface area four times its shadow?https://youtu.be/GNcFjFmqEc8
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One hour of animations (using manim!) about infinity and set theory:https://youtu.be/vZhSA7kNOL8
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There are times when I'm quite sure the universe is just messing with us.pic.twitter.com/T96b2BpeBZ
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Both the distribution of result and the comments here are fascinating to me. Most notable is that many people seem to assume one of the answers is "right". It's funny how something as widespread in applications as probability can be so divisive when interpretational q's arise.https://twitter.com/3blue1brown/status/1074415844715782144 …
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Before it was the smallest who amused, but real sets might lack a minimum. Will there be a special one to choose from subsets of the whole continuum? It isn’t clear where such a choice comes from, yet some treat “choice” like it’s an axiom.
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(Addendum on the axiom of choice) Let’s see if this joke proof applies as well to real numbers; do they all stand out? Suppose some don’t and find one who rebels by being meaningful beyond a doubt.
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It is precisely how far one must count before the numbers get uninteresting. But this would be a curious amount, which contradicts how we defined the thing! So every number has something to show, including ones whom we will never know.
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Proof that all natural numbers are interesting, in sonnet form: Is any number that we count banal, and lacking in a feature one might note? Suppose some are, and gather up them all. The smallest one has quite the cause to gloat.
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I know there are some Wootube fans/users among you :)https://twitter.com/misterwootube/status/1074784014228058112 …
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Man, the Bayesians have lost ground here through the day.https://twitter.com/3blue1brown/status/1074415844715782144 …
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What is the probability that the (10^10^10^1000)th digit of pi is even?
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To those of you who have learned from math textbooks: If you could go back in time, what do you wish you could tell your younger self about how to read them more effectively?
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I would love to hear
@12tonevideos's review here too :)Show this threadThanks. Twitter will use this info to make your timeline better. UndoUndo -
We need a word for the kind of educational content that really starts from ground 0 and builds things up. E.g. think of
@ben_eater's work. Even though I'm quite comfortable with music, I found the videos below extremely satisfying for this reason. I think you will too!https://twitter.com/lacinato/status/1072936517746679809 …Show this threadThanks. Twitter will use this info to make your timeline better. UndoUndo -
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Lest you should think that such less well-known sums are much ado about nonsense I do give these two cents: The universe has got an answer which is not what most would first surmise, it is a compromise, and though it seems a laugh the universe gives “half”.
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From http://3b1b.co/poems When one takes one from one plus one from one plus one and on and on but ends anon then starts again, then some sums sum to one, to zero other ones. One wonders who'd have won had stopping not been done; had he summed every bit until the infinite.
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Just stumbled across the state of the art explanation for Histograms, by
@AmeliaMN: https://tinlizzie.org/histograms/ pic.twitter.com/DmBmrCFSiVThanks. Twitter will use this info to make your timeline better. UndoUndo -
I don't know what's funnier, the fact that there is a Wikipedia page for "spherical cow", or that this is the prominent image of the page (by
@keenanisalive)pic.twitter.com/Eggv2GZLVMThanks. Twitter will use this info to make your timeline better. UndoUndo -
Grant Sanderson Retweeted
NEW Video! "What is a Fourier Series? (Explained by drawing circles) - Smarter Every Day 205" https://www.youtube.com/watch?v=ds0cmAV-Yek … A fun collaboration video with
@bilimneguzellanpic.twitter.com/3T09qAs0F1
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Be sure to go to http://oeis.org/A139250/a139250.anim.html … to play around.
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