Me when I fucking GET you

Also isn’t an infinite dimensional sphere practically hollow?

(If you were to integrate the sphere to calculate volume like you do for lower dimensional ones, you would sum the volume of shells—which is just their surface area times a thickness—making it up. With infinite dimensions, each shell becomes infinitely larger than the preceding shell no matter how fine you make the slices. This means the largest shell contains basically all the volume.)

Wait did Pythagoras even know about zero? Like iirc he’s wayy before standard numerals and zero didn’t start becoming mainstream in the west ‘till long after that right?

(Speaking of, it always blows my mind that someone was able to give a proof of the irrationality of the square root of 2 without even using numbers)

I can eat “properly” with a fork in my left and knife in my right or the other way around and that didn’t take any effort to learn I just could do it.

I’m also a pretty good marksman with either hand/stance.

I kind of prefer using my left hand for drinks or eating snacks, but that is likely due to me working/gaming on my computer while doing so.

When I’d play baseball I preferred throwing lefty, but that was a long time ago and I definitely default to my right hand for most things nowadays. Or whatever hand is free.

Like on the bus if the nearest handhold is on my right, I’ll hold it with my right, and then like switch my phone to my left pocket so I can reach it with my left hand easily if I want to scroll memes or text etc. while my right hand is busy.

I will say that I tried drawing with my left hand not so long ago and for the rest of the day I kept getting tripped up, like my mind couldn’t decide what hand to use to open doors or grab things so I’d get up to do something and then freeze up lol. Weird stuff

My drawing did kind of just improve from that one try though because yesterday I decided to try again and I was much more capable of drawing precisely. Still a little shaky but not too bad.

Oh and a few of my family members definitely are preferential for different hands in different tasks, and oddly enough I think tennis is one of them. I know there are more but I can’t remember which other ones they’ve mentioned. Skateboarding with non dominant leg is one but I think that’s a common thing.

Also I really just hate writing with my left hand because everything smudges, and I’m not at the level of DeVinci where I can just flat out write in reverse lol

Other animals that build stuff use natural materials. Humans are the only ones that process raw materials into different materials and build with those.

Wrong on both counts. First, animals that build stuff don’t just use “natural materials” they use whatever is available to them. Birds make nests out of everything from sticks to metal hangers and from moss to our “unnatural” polyester products they can get their hands on.

Second, bees and ants and termites and wasps etc. use raw materials like fibers (“natural” or not) or pollen or grains of clay and sand and typically mix them with their saliva or water or other bodily excretion or all of those together to create novel building materials.

Animals don’t create stuff with iron (scorpions and certain sea snails actually do kinda use metallic iron) or plastic (technically many “natural” materials are polymers aka plastics) not because we are the only ones capable of understanding resource machines, but because we are in the sweet spot where many tools are available to us. We are large enough to work with fire and hammers. If termites could make steel they absolutely would, but they can’t. They make concrete though because they can. Diatoms make glass (which most other living things can’t do) because they can. Ants farm and domesticate “resource machines” like fungi or plants or other insects (kinda like we do) because they can. We just happened to be in the sweet spot for making our own resource machines without needing to wait for evolution to evolve them.

You could argue that a wooden hut with a thatched roof is a natural structure, but not much else in human architecture

I think most houses even just a few hundred years ago would be “natural” even by your definition.

Clay and mortar are just rocks we mix with water rather than saliva like insects would. Wood from trees like beavers. Slate shingles from, well, slate. The only real issue would be glass for windows and that is a naturally produced resource, we just produce it in an easier way than diatoms do (we actually kinda use their skeletons funnily enough along with geologically occurring silicate sands ofc) and voila you have a relatively modern house. Nails would require a long process but good news you don’t need them to build a house, they just make things easier.

Most of our old civilizations last so long as ruins because they’re made out of stone, sure we mined that stone but so do ants and termites. The roads the Romans built are just as natural as ant mounds are and so are the pyramids (minus the gold caps at the top perhaps).

On that note, humans are nature. When other animals build things like beavers building dams, or bees building hives, ants building hills, termites building thermodynamically efficient concrete (sort of) structures etc., we still call those things “natural.”

Point is: all our modern infrastructure is natural because building shit is just what our species does and we are just as much nature as any other species is.

We aren’t special; we’re just another weird species in a long history. We aren’t the only species to build stuff, aren’t the only species reshape the environment around us, aren’t the only species to literally poison the area around ourselves (and hey we mostly do it on accident whereas pine trees kinda do it on purpose). Hell, the Great Oxidation Event literally filled the whole atmosphere with what was—at the time—basically poison. That event not only caused mass extinction on a global scale, but it also changed geology and mineral formation worldwide.

We aren’t special just because our machines are often made of metal instead of proteins. We’re just another species on this rock, and everything we’ve built is just another mark on that rock made by life.

Nah, use whichever one is closest to her and closest to where it needs to be in the moment, or switch off if one gets sore.

(I’m not fully ambidextrous (my left hand writing sucks), but this is one of the good skills to be ambidextrous in)

ACTUALLY ITS BOILING SODIUM!!… ~which then gets used to boil water~

I mean typically people refer to planes as hyperplanes once you go past 3D, but I’ve definitely heard them just called “planes” too

Hyperplanes are just a generalization of planes to higher dimensions. Often you hear the term when working with vectors because, like in 3D, you can define an n-dimensional hyperplane by a surface normal vector and a point. All lines perpendicular (orthogonal) to that normal vector which pass through the point form the plane.

It’s a useful concept and since we already have a word for that kind of structure in 3D space we just use the same term for it in other dimensions

If the trolley is moving at light speed by the time it hits the station, it is impossible for anyone to get on or off because—from the trolley’s perspective—no time passes between stops. Ergo, the number of passengers on it must be the same every stop.

If the initial number of passengers is odd or a non-zero integer, this inability to board/unboard would contradict the rules.

Thus, in order to satisfy all the conditions, the initial number of people on the trolley must be 0. As an even number it will be subject to halving, but 0/2=0, so the rules are satisfied.

Hence, pulling the lever is the optimal solution as 0 people will die. QED.

Well the name shown is the name you’d use to kill them, so if that were the case, it would imply that using their given name wouldn’t work.

If that was the case, it seems likely that Light would have killed enough people to have attempted to killed some eggs, in which event, he probably would have noticed that there are certain people he couldn’t kill and would have freaked out about it.