US folks: Instacart's workers are planning a strike on Monday. Don't cross the picket line.
The craving of normalcy is understandable. But it is also misguided. The future is never the same as the past. Normalcy lead us here.
Start building fantasies that don't look like the daily grind you've had to stop.
me: *has to light Ḥanukah lights for a bunch of people but doesn't have a bunch of menorot*
me: *puts a bunch of oil in a bowl, sticks in one wick per person, lights all of them, and calls it good*
Rava: you can't do that!!! that is clearly a bonfire, not a menorah
me: *overturns a second bowl and puts it on top of the first bowl*
Rava: oh, yeah, that's fine, carry on
there are a lot of jokes about Judaism and finding loopholes in the rules, but the Sages are *very* adamant in #Shabbat23 about closing as many loopholes as they can in the commandment to leave part of your harvest for the poor. you have to do it, for real, and you can't cheat your way out of it #DafYomi
(to be clear, this probably would work, it just . . . would not work in a modern fountain pen)
bonus challenge left as an exercise for the reader: is this proof generalizable? that is, can it be used to prove that other square roots are irrational? or is 2 special? if it can be used for other numbers, can it be used for *all* other numbers, or just some of them?
here's a hint to get you started: you may be tempted to try it with √3 and √5 first, and with √4 and √9 to see what happens. what happens if you try it with √24?
this means that b has to be even, but we just established that *a* has to be even. and if both a and b are even, that means they're both divisible by 2, which *directly contradicts* our original assumption that a and b didn't share any common factors.
thus, our initial assumption that √2 is a rational number has led to a logical impossibility, from which we must conclude that √2 is *not* rational, but is irrational instead and can never be represented fully by a fraction
AND PYTHAGORAS WEEPS
dmab enby (they/them) making music and theatre in nyc. local pronoun artisan
(probably actually a bird)
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