An idea that I will never implement is to create a mathematics wiki site structured as a "lattice", meaning that all links within a given explanation can only point "down", for suitable definitions of down. It's frustrating to try to learn anything from Wikipedia because it'll freely jump up to post-graduate math on any topic without warning. Despite it being suboptimal from a pure math perspective, I figured "down" would likely end up being "a topic covered earlier in the standard mathematics curriculum"; any other attempt to be clever I came up with always backfired for the "able to learn math from this resource" goal.

The second paragraph of the Wikipedia page on integers, about as simple a "math" page as I can imagine, as I write this, brings in "subset" and "countably infinite", and the third paragraph just goes off the rails if you're trying to use this to learn about the integers: "The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes called rational integers to distinguish them from the more general algebraic integers. In fact, the (rational) integers are the algebraic integers that are also rational numbers."

I know enough of the relevant maths to actually perfectly understand that. I also remember enough about when I didn't understand the relevant maths to remember what it felt like to read stuff like that. My point here is not that it's a "bad page", just that it is very hard to learn anything that way.

My complaint about mathematics (and similar) articles is that they seem to be written for technical correctness, but not for instructional purposes.

So people who already understand the concepts can nod and agree "I find nothing (further) wrong with that," while learners definitely fall down a rabbit hole of successive links. At times it seems more like lawyering than teaching.

I've considered the argument that Wikipedia isn't meant for that purpose, that it's simply a repository for formulas and such, but I don't believe that agrees with any idea of human advancement and learning, and the site's own mission statement reads "to collect and develop educational content."

Remember, they all lead to philosophy.

I used to love ZeroHedge, but their signal:noise seems to have gone way downhill in the last year or two. There was always more than a healthy dose of paranoia and unconfirmed news, but it's gotten harder and harder to find the "good stuff".

You might like the Lectures subreddit.

https://www.reddit.com/r/lectures/