You have to believe!

Yeah exactly, it’s not like websites turned out to be totally useless or anything: the bubble was that tons people were making websites for everything in the hopes that they would get investment and maybe figure out a purpose down the line if they felt like it. Values got inflated and then popped. Clearly though we still use websites for lots of things because they are a good way to exchange information and interact with users.

The AI bubble is the same. It’s garnering huge investment at the moment, its value is inflated, and eventually the market will pop. That doesn’t mean we won’t be using generative AI in the future or that it doesn’t have value at all. Some companies will survive, the sector will start to grow again more gradually and our fridges will have AI in them that does something actually useful.

I was distracted by the penis - that baby is going to hurt coming out

Yeah I think I was overcomplicating it in my head, I kept getting caught in the hows and whys of squaring everything in Pythagoras’ theorem, that maybe it could get around the problems of some being irrational and some not.

Ultimately I think you’re right that the scaling itself is the problem: scaling irrational numbers to be whole numbers generally won’t work outside of those specific cases.

Can there exist Pythagorean triples in which the leg lengths are not coprime with each other but both are coprime with the hypotenuse?

I don’t think so. Using the theorem, (an)² + (bn)² = c² … Algebra… c = n(root(a² + b²))

If c is a whole number, then the root must give a whole number, and therefore n divides c

If any of the values in (leg₁: leg₂: hypotenuse) are irrational, that does indeed mean the values cannot scale to be whole numbers?

Hypothetically I can see it working from the algebra. We can construct some trivial cases like taking 3:4:5 and dividing all those lengths by root(2). All lengths are now irrational and could be made whole by multiplying them all by root(2). We can also do it with different roots in a way that is hard to type on mobile but essentially involves breaking up, say, root(30) into component roots and having different pairs of components between the top and bottom of the fraction line but that is essentially the same thing as dividing them all by the same root. I can’t see a general way of doing it if they are not all irrational in the same way, though I am just a maths teacher not a proper researcher.

I don’t think Trump understands the joke. No one is saying Musk is literally president, the point is he is so influential over Trump that he is calling the shots behind the scenes. Whether or not Musk is eligible to be president is irrelevant.

Nah clearly it’s a truth table

L    |    D    |    J = L V D
1    |    1    |    1
1    |    0    |    1
0    |    1    |    1
0    |    0    |    0

AI will analyse video of dirty bums and generate the exact pressure and aim required to get them clean.

Or maybe that’s not a sin 😏

Can he just run as someone else’s VP and then the someone else abdicates or whatever? No messing with constitution required. Obviously requires a lot of trust though.

I think it’s both. You activate and deactivate it in the mods menu.

I didn’t realise the new stuff was mods and I’ve just been playing regular factorio for the last week. I should have been in space two science packs ago!

All points on a triangle lie somewhere between their incircle and their circumcircle, so it checks out.

While a good start, they do still pay other kinds of federal taxes (without representation), such as payroll taxes

https://espaciosabiertos.org/facts-does-puerto-rico-really-not-pay-federal-taxes-a-common-misconception/

And paid $4 billion in federal taxes in 2021 https://www.cfr.org/backgrounder/puerto-rico-us-territory-crisis#chapter-title-0-4

100% true. Note that I was responding to someone who called it quick and fun, so the lack of choices seemed like a relevant point there.

Monopoly has one great rule (or lack of specificity), that it doesn’t put any restricting on when you are able to trade (doesn’t even say it has to be your turn!). This creates a great ten minutes or so when most of the properties are bought and people are making interesting deals with each other.

Everything else in the game is bad because there are very few interesting decisions to make. The dice tell you where you go and the space you land on tells you what to do. Strictly you “decide” whether or not to buy an available property if you land on it, but it’s virtually always a good idea. In the rare auction case you can decide your bid. You can decide which order you mortgage off your properties if you are out of money. I think one of the chance/CC cards has a choice on it? Even buying houses is kind of dull since you have to build them evenly across the block.

Muscles could just be opening and closing the valve I guess?

I think the point is that the bladder is above where the pee comes out so gravity could be pulling it out of the body. Aiming upwards wouldn’t change this relationship because the pee is outside the body at that point. By being upside down the bladder is now below where the pee comes out and gravity would be keeping it in. By being able to pee upside down, he demonstrates that gravity is not a necessary component.

I think it can be demonstrated by aiming upwards with some extra pressure though. If gravity were the only thing pulling pee out, i wouldn’t be able to shoot over someone’s head for instance as the pee wouldn’t have enough kinetic energy. Thus gravity is not the only component.

I don’t have thumbnails set on my phone so I only ever saw the full image. That said, I looked at it without my glasses with my arm outstretched and I’m going to guess they saw either buttcrack or titcleft

When did they add Frostmourne to the game? Need that mog ASAP