singin snek @glitternoodle@cybre.space

sorry kiddo, you don't have a college fund because we spent all of that money on the massive honking searchlight we light every shabbos, as it is said that those who excel in lighting shabbos lights will produce great scholars #DafYomi #Shabbat23

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
#DafYomi #Shabbat23

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

do you assume the best or the worst of your neighbors? what precautions should you take lest your neighbors assume the worst of you? #DafYomi #Shabbat23

the Ḥanukah blessing: *says that G-d commanded us to light Ḥanukah lights*
the Gemara: um, source???????
#DafYomi #Shabbat23

i deeply love referring to the sheheḥeyanu as "the blessing of time" #DafYomi #Shabbat23

(to be clear, this probably would work, it just . . . would not work in a modern fountain pen)

not to be like "i'm low-key obsessed with fountain pens" but the thought of burning olive oil, then mixing the smoke with more olive oil and some tree sap and using the result for ink is making me feel . . . some kind of way #DafYomi #Shabbat23

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