the five types of paradox (script preview)
Added 2022-09-05 20:19:48 +0000 UTCwhat even is a paradox? this video is just going to be a list of paradoxes, organized into a few different categories. but I need YOUR help! one, do these explanations make sense? and two, are there any fun paradoxes (or things commonly called "paradoxes") that I should include with these examples? in particular, I need more examples of falsidical paradoxes ("math pranks"). I'm very open to suggestions currently!
Comments
Three things you could consider: One of my favorite Math Prank-type paradoxes is the "two envelopes paradox," where the trick revolves around secretly having the same variable refer to two different things. I submit the Twin Paradox in relativity as a well-known example of the 'counterintuitive fact' type. It's always kind of bothered me that we call it a paradox when it's, objectively, just a weird thing that happens and not a logical contradiction at all, lol. Olbers' paradox ("why is the sky dark at night") is also an interesting case of the 'counterintuitive fact' type, because iirc the paradox was proposed before the actual correct answer to it was known -- so does this mean it *changed* from being like the Fermi paradox ("there's definitely a reason it's like this but we don't know what the reason is") into being a Counterintuitive Fact? 🤔
cassowary
2022-09-05 22:41:14 +0000 UTCAlso in addition to the 1=0 proofs that Tyler Owens showed, there's a great one that uses calculus; it relies on the fact that antiderivatives always have a +C term, and you can mix "canonical" antiderivatives and conveniently omit the +C in a way that looks like 0=1 (but really, it's that one antiderivative was using a C that was one higher than the other.)
Tesseract King
2022-09-05 22:07:27 +0000 UTC
