Frezik

Is this real life or A Song of Ice and Fire?

. . . the fundamental ideas about rates of change seem like they’re something that everyone human deserves to be exposed to.

People understand the idea of instantaneous speed intuitively. The trouble is giving it a rigorous mathematical foundation, and that’s what calculus does. Take away the rigor, and you can teach the basic ideas to anyone with some exposure to algebra. 6th grade, maybe earlier. It’s not particularly remarkable or even that useful for most people.

When you go into a college major that requires calculus, they tend to make you take it all over again no matter if you took it in high school or not.

Probability and statistics are far more important. We run into them constantly in daily life, and most people do not have a firm grounding in them.

Just had a conversation about this. I’ll copypasta what I said there.

https://d-shoot.net/kagi.html

tl;dr: they’re all in on AI (their own model, FastGPT, which is terrible), they make some very questionable business decisions with limited funds, and have a poor understanding of what Personally Identifiable Information (PII) actually is.

I could compromise on some of these things, but if I’m going to pay for their service as a Google alternative, I need to compromise less than I do with Google already.

It’s neat to think about what units an alien civilization would come up with independently. Like the Plank Distance is fundamental to physics, so they’d probably have something for that.

Degrees Celsius is based on freezing and boiling point of water, so if they came up with a base 10 numbering system and water is key to their biology, then they’d probably come up with that.

A calorie is the energy needed to increase the temperature of 1L of water by 1C. A liter is a volume of a cube 0.1m on each side. The meter was originally ten-millionth of the distance between the equator and north pole (and subsequent redefinitions are based on that original measurement). They wouldn’t come up with the meter, and they wouldn’t come up with liters or calories, either.

Also see Dyson’s Eternal Intelligence:

https://en.wikipedia.org/wiki/Dyson's_eternal_intelligence

Basically, if you assume it’s possible to upload our intelligence to a computer and run it, then you can keep the energy going to run it for a very, very long time. Well past the heat death of the rest of the universe. It depends on running things in an on and off state to conserve energy for trillions of years. Subjectively, the people in there wouldn’t notice that and would simply see their active lifespans go for trillions of years. It’s not clear what the limit would actually be.

It’s something like Zeno’s Paradox. You cut things in half each cycle, but never quite get to zero.

It took them a long time to get there. As corporate ISPs took over from the government and universities, the Internet got built around a few large pipes rather than several smaller ones. It’s cheaper to build and maintain, but more prone to failure.

Some of the redundancy from the old ARPANET is still around in the US. Everywhere else, it mostly got built as above. One ship laying an anchor somewhere they shouldn’t has brought entire countries offline.

Feynman, over a beer, at a strip club.