o/

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277k ratings

See, that’s what the app is perfect for.

Sounds perfect Wahhhh, I don’t wanna
kubleeka
model-theory

I'm doing it! I'm learning forcing!

model-theory

OOAAAAGHH

model-theory

Ok that wasn't so bad

adriftinhilbertspace

What's the gist

model-theory

It's like making a new field out of an old field by adding a new element, QQ[√2], QQ(π), RR(x), etc. We take a model V of ZFC and add a new set G, calling it V[G]. The new element that we add is a 'generic' set, and the new model V[G] is (in a sense) all sets that we can define in V if we knew that G was going to exist.

The basic application taking a model of ZFC in which |R|=\aleph_1 and adding \aleph_2 new subsets of N, meaning that in V[G] we have |R|=\aleph_2.

oh huh that's way simpler than what i was expecting also i think this means ive already been using forcing without knowing it whack
scramratz
marxistprincess

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What’s the point of grinding to the bone your whole life for money if you aren’t even gonna be there to spend it…

slimelin

"The less you eat, drink and buy books; the less you go to the theatre, the dance hall, the public house; the less you think, love, theorise, sing, paint, fence, etc., the more you save – the greater becomes your treasure which neither moths nor rust will devour – your capital. The less you are, the less you express your own life, the more you have, i.e., the greater is your alienated life, the greater is the store of your estranged being." -Karl Marx, Economic and Philosophical Manuscripts of 1844

nopenopenopenopeitynope

“The thing about money is, we can always make more, so let’s go out to eat tonight!” —My dad, after being laid-off, working odd and probably demeaning jobs so we could have dinner.

“Ah, baby, I want to buy this for you, it’s not like I can take the money with me when I go.” —My mom, when she bought me new clothes while I was between jobs.

“There’ll always be a job out there you can work, but we’d prefer you happy instead.” —Both my parents on jobs (“I can always get ya a job ditch diggin! They’ll always need ditch diggers. Hard work, but no college necessary. I can talk to the Hall.”—My proud, union dad, enthused, three seconds later.)

“It doesn’t matter what they do with the money after you give it to them. Drugs, beer, it doesn’t matter, maybe that’s what they need? How do you know?” —My dad on giving money to the homeless.

“Nah, we’ll never make any money, my husband has morals.” —My mom’s friend, fondly reflecting on the fact her lawyer husband isn’t working for a big money firm.

“Don’t worry! I’ve got this!” My equally poor friend buying me dinner when my debt card declined.

“I know we didn’t have furniture in the living room when you were growing up, but—ha!—remember Balloon Ball?” —My dad reflecting on the made up, mock-volleyball game we’d play in the open living room, using balloons. He had used electrical tape to make the court.

“I’m sorry we could never take you anywhere greater growing up,” —My mom, reflecting on our “stay-cations.” (“Why?” I asked, reflecting on all our trips to the park, zoo, public swimming pools, libraries, free theater, two dollar movie days, and her and my dad right there with me and my brothers.)

Bring poor is hard and it’s not right that it happens, but I prefer it to the hustle because at the very least, poor taught me what love is and I won’t let a shitty job deny me that.

i-say-ok

ok!!!

futureshieldmaiden
thenightisland

people trying to insist a fandom is tiny when it /only/ has a few thousand works on ao3 meanwhile my current fandom is a sixteen book series and has several hundred fewer works than goncharov, a movie that, and i cannot stress this enough, doesn’t even exist

feathersandblue

#measuring the size of fandoms based on their goncharov index#this has been a useless text post you may now resume your normal programming#rote has a goncharov index of 0.63#for perspective ofmd has an index of 26.5#spn’s is 360.8#the cosmere is 2.26 for a fantasy book comparison#i am very normal

The Goncharov Index, everyone.

sitting here writing fics for a goncharov index of 0.60
kubleeka
letsgetsalty

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Agdgsgsgsg I’m LIVING for this Reef2Reef thread. This guy was worried about his urchins getting sunburnt so he made them little hats

letsgetsalty

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IT GETS BETTER

bogleech

In the wild these urchins will in fact carry a small rock or shell exactly on top like this and im so happy there's people taking advantage of that and who care about their urchins as pets.

commander-ledi

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i visited an aquarium at some point, and our tour guide told that when the staff had a party, they put a little decorative plastic hat from a booze bottle into the sea urching tank, and just left it there because the sea urchins liked it, and kept taking turns in wearing it.

goingknowherewastaken

Discovering that sea urchins wearing hats is a thing in this world means so much to me rn

gallusrostromegalus

As a species, humans have a lot of faults but our relentless desire to put tiny hats on animals is not one of them.

mollydot

I'll never get tired of photos of hats on sea urchins