1. Infinite mathematicians walk into a bar. The first one orders one beer. The second one orders half a beer. Before the third can place his order, the bartender slams two beers on the counter and asks the group to move on
2. Infinite mathematicians walk into a bar. The first one orders one beer. The second one orders half a beer. This time, the third one gets his order in before the bartender can react: he orders one-third of a beer. The bar stays open forever
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Haha
This is an example of where the lower and the higher spectrum of the bell curve are not equal. I have no idea why this is funny
It has to do with sums of infinite series.
In the first joke, the bartender thinks what’s coming is fractional powers of two. The sum of 1 +1/2 + 1/4 + 1/8 + 1/16 + … = 1/2^0 + 1/2^1 + 1/2^2 + 1/2^3 + 1/2^4 + … = 2. That is, the sum of the series converges to 2. So he slams two beers to finish the sum rather than infinitely pouring smaller and smaller beers.
In the second joke, before the bartender can cut them off, the third mathematician reveals a different series: 1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + … = ∞. That is, the sum of the series diverges. So there’s no skipping to the end. The bartender has to just keep pouring smaller and smaller beers forever.
Lol
Thanks
Like any joke, it’s less funny explained. I guess the crux is the reversal of fortune. The bartender, annoyed, dealt with a troll by finishing the first joke early. But the troll won in the end in a reversal.
3. Infinite mathematicians walk into a bar. The first one orders one beer. The second one orders half a beer. The third one orders one-third of a beer. The bartender slams down ψ-1 beers and asks the group to move on. https://en.wikipedia.org/wiki/Reciprocal_Fibonacci_constant
That works as well!
lol
