Mastodonian in training
My favorite post in a while:
https://daringfireball.net/linked/2025/08/15/woz-on-slashdot
He talked about electric cars. I don't know anything about cars, so when people said he was a genius I figured he must be a genius.
Then he talked about rockets. I don't know anything about rockets, so when people said he was a genius I figured he must be a genius.
Now he talks about software. I happen to know a lot about software & Elon Musk is saying the stupidest shit I've ever heard anyone say, so when people say he's a genius I figure I should stay the hell away from his cars and rockets.
What is a topological space?
It is a mathematical device to define what a continuous function is, in a general setting.
1. A topological space is a set X together with a collection of subsets of X, called open, such that finite intersections of open sets are open, and arbitrary unions of open sets are open.
2. A function of topological spaces is continuous if inverse images of open sets are open.
What is the intuition behind (1) and (2)?
I claim that it is better to ask, instead, how mathematicians came up with (1) and (2).
1/
Snow sharks live among us.