Yeah, I’m really out of my element talking about these abstract mathematical topics… I’m too much of an empirical scientist it seems!
Give me a set and I’ll find a way to measure it! …actually I’d like to know what’s the mathematical definition of measurement, there’s probably a trick there… 🤔
Well that’s interesting: in order to define unmeasurable sets, you relied on the axiom of choice… I suppose it might be possible to define unmeasurable sets without AC, but maybe not!
Every time I encounter the axiom of choice implying a bunch of crazy stuff, it always loop back to requiring AC. It’s like a bunch of evidence against AC!
I find it interesting that the basic description of AC sounds very plausible, but I’m still convinced mathematicians might have made the wrong choice… (See what i did there? 😄)