On the other hand, he Doesn’t think you can double a sphere by cutting it into 5 pieces and reassembling them, so there’s that.
The bait and switch on this one really caught me off guard and gave me a great laugh. Good post.
Finite games are all definite, either player 1 as a winning strategy or player 2 has, all other “outcomes” are just mental illnesses. Get over it, math doesn’t care about your feelings.
Let’s play tic-tac-toe?
That would be true, except draws exist
Tie goes to winner of the next game, easy fix
Congrats, the game is now non-finite (you can just keep drawing forever).
whoever needs to use the bathroom first loses, or if you die of thirst or hunger, that could also disqualify one from such a theoretically limitless dilemma.
Alternately, if you have a mathematical way to measure boredom, and also introduce a rule that the person to truly become bored with the game first (or more bored, measured quantitatively somehow) would actually win automatically after a draw… or the game could just be determined by some arbitrary momentary measure of chaotic systems outside the game that the players can’t see or affect, and then giving the win to one of the players based on some hidden scoring matrix of outside variables probing purely environmental or coincidental variables, to generate an arbitrary-enough-seeming-to-the-players (though not likely enough for the mathematicians) winner, in the event of a repeated draws which outnumber the lower of the two single largest numbers that each player could think of, probed proper to match before each challenge, unbeknownst to the players, that way they cannot strategize to give a dishonest answer to affect play somehow towards their advantage (by saying a lower number than the highest possible [countable-to-by-this-person] number that they had ever actually been taught to count up to)
For games that allow that, yep
You can’t draw in pictionairy.
🥁🐍
me, playing for a draw:
love that episode
I thought I understood sets until I saw a show on PBS where a guy showed how there were different infinities using them and I realized I knew nothing.
I have a friend who had the license plate “ALEPH NUL” which I thought was good nerd humor.
Ok, i dont understand this level of math, but cant you force a win in a 2 player game of non-infinite moves? Why wouldnt you be able to? Genuinely asking
For a finite game with no draws you are indeed able to.
Tic-tac-toe always ends in a draw with perfect play.
Mmm, i did overlook the, very obvious in hindsight, draw outcome. Thanks
assuming a draw condition is impossible maybe
Hey now, just because someone isn’t pro-choice doesn’t mean they’re pro-AD. Honestly, people nowadays think everyone who disagrees with them on one thing must have every unhinged belief under the sun.
I am behind the times on some abbreviations. And dense.
What is AD in this context?
The axiom of determinacy, which implies some of (or all?) of the statements in op, and is more or less stated at the end. AD implies ~AC but they’re not equivalent.
If you are so pro-choice, you can split your two balls into several pieces and reassemble them into three balls!
Sure, why just this morning I got me a second car by choosing five sets of points of my old car and rotating them around a bit in my garage. No, you can’t see it, it was uh… a non constructive job. (jk I don’t own a car, or a garage for that matter)
If you are so pro-choice, you can draw two parallel lines and they will always intersect at the horizon!
Fucking relatable !
I’m that guy
