the five kinds of paradox

all errors in this video are my own

If you ask Rick Astley for a DVD of the movie “Up”, he will not give it to you because he is Never Gonna Give You Up. However by not giving you Up, even though you asked for it, he is letting you down. The Astley Paradox.

If I ever get a book published, I'm going to put "none of the errors in this book are mine, the editors are conspiring against me" as the preface

I love math pranks, because they're either breaking the most subtle, obsure hidden math property to allow something to be true, or are incoherent insane rants about how all horses are the same.

So to simplify this, if we take a question with two mutually exclusive answers. Type 1: Both answers must be wrong Type 2: Either answer could be true Type 3: The right answer looks wrong Type 4: The wrong answer has a subtly wrong proof Type 5: The scenario is perfectly clear but has been phrased to make it not clear

“You’d expect the bread to land cat side down.” Is a great line out of context.

I love that I know about the preface paradox now. Like without the context of, you know, how books get written and published, I could totally see how one could assume that "all errors in this book are my own" would mean "I checked all the errors in this book and confirmed that they were mine" (rather than what it actually means, which is "I fixed all the errors that I saw, so if any still remain, that's on me"), and then think "why would the author check all those errors but not fix them?" Wild. I love it.

“imagine a bar” aw i wanted a real one “it can be real if you want” so considerate!

36:30 got so close to making a counterintuitive fact. “This book contain errors” is always correct because either the book contains errors and the sentence is true, or the book contains no errors and the sentence itself is an error.

My favorite "one guy getting confused" paradox is the cheese paradox, similar to the temperature paradox: Cheese has holes The more cheese you have, the more holes you have The more holes you have, the less cheese you have Therefore the more cheese you have, the less cheese you have. It's pretty obvious what the problem is, like you don't even have to rephrase it, but I still like it for the split second before you realize it doesn't make sense

"the number ninety is not rising, it is remaining constant - at ninety" this channel always has something to teach me

My favourite model for Schroedinger's cat is that, using a more general definition of "observe" as "have any interaction with", the cat is indeed an observer, and collapses the wavefunction, but now the state of cat + contraption is in a superposition. When we open the box, we ourselves enter a superposition relative to anyone who has not yet observed us, with our state being either "saw a dead cat" or "saw a cat that hadn't died yet" The only way to break an unobserved superposition is to interact with it and thus become entangled with it. Either the box is opaque or you're part of the box's universal wavefunction.

I enjoy the really simple ones. "There's an exception to every rule" is my favorite. There should be an exception to that statement itself, which means there's a rule out there with no exceptions. But, we know that would break the statement. Fun all around.

Oh god the last category is such a goldmine If you made a sequel to this just listing more "guy got confused" paradoxes I would absolutely love that

I love the quote “Assuming it exists, the universe is very big” 😂

I love the crocodile voice so much

The "heap" of sand to me honestly depends on where it is. If it is in my swimsuit, then 1 or 1000 grains of sand and every amount in between or bigger is a heap.

God I hope this categorization scheme really takes off in wider academia so we can finally have a jan Misali Wikipedia page talking about your various unhinged video topics and toki pona translations

I also love the ship of thesius because a lot of people in my extended family own boats and they are VERY emotionally attached to them, and they all agree that the thesius that's had all it's parts exchanged is more worthy to be 'The' ship of Thesius than the reconstructed one, because the one with the bits replaced is what they'd have been sailing on all that time, like it's kept the spirit in it. :)

Zeno's paradox is just what executive dysfunction feels like, there are infinitely many steps to the task I have to do, therefore I can't do it