As a computer scientist, unsurprisingly the most interesting application to me is how it ties into programming language design. I think it’s a neat example of disciplinary cross-over that one of the elementary concepts used by compilers (and many other kinds of parsers) is named after Noam Chomsky, whose work hasn’t directly had anything to do with computer science.
Computational and mathematical linguistics are out of my wheelhouse, but they’re also fascinating because they show that language can be thought of as a universal abstract concept, much like mathematics (in a way it is math, and math is language), rather than just something humans use to communicate.
Sure looks like one to me, though it is paler than they usually are (edit: colour variation is perfectly normal for death caps though). It certainly isn’t any edible species that I know of.
That being said mushrooms are somewhat local and I live on the other side of the world so take this identification with a grain of salt.