Running the code again is fast and requires no thinking. Finding the problem is slow and requires a lot of thinking.

It's worth looking under the light-post in case your keys somehow rolled there. Just not for long.

motivation for learning the skill

I mean motivation for why somebody cares about the idea at all, but I think that is less strict so yes. A hole in theory or something emerging from an activity are perfectly fine. But there has to be something there.

Peter Liljedahl

So... From the publications, looks like he uses problem solving, not "having students actually think about math".

You want students think about what exactly if you don't give them an application?

Anyway, thanks, I'm listing his work as evidence supporting my claim.

The fact that this is becoming the most known quote from that mission is amazing on several good and bad ways.

Apparently knowing people learn differently and that mathematicians are a tiny minority is neoliberal...

unless their sun was the same temperature as Sol and their planet the same size as earth

Most other animals see different colors than we do, and they live under a star of the same temperature as ours, and in a planet with the exact same atmospheric composition.

The image is literally about the kind of thing the aliens would have in common.

You can decide on a language from that, but you will have to write down the definition of every word too.

When I got to asking "WTF does naturality even means?", I decided to reread your comment from the beginning...

The amount of words in it that almost nobody will know the meaning is amazing!

Or every time society invents a time machine, the world ends and somebody has to come back and sabotage the effort. So humanity hits a wall in progress that it can only pass by not focusing on time-physics.

If you are talking about school curriculum, nearly the entire population will keep not learning it as long as it doesn't have some practical application so people can understand WTF the teacher is talking about.

Remember, people, they are trying to make you focus on the Epstein files just so you forget about the war in Iran!

Yes, the 70's car would "win out". Its driver, on the other hand would fare much worse than you.

Ideally, people wouldn't treat possibly fatal transit collisions as a sports game. And also ideally, most people would see the uselessness of looking at which car is less damaged. Realistically, I know neither of those are universal, but I do hope they are common.