I wrote a post about what action is while also attempting to convey some general lessons about analyzing concepts; one of those "Flo thinks Lovers of Wisdom should be quiet until they have mastered real analysis" posts. Stacker of Subs Jack Thompson wrote a post replying to it. Here I do not so much as directly address his reply (since I do not take issue with much of what he initially says), but rather lay out some thoughts on the very interesting considerations in his post.
Here I do not so much as directly address his reply (since I do not take issue with much of what he initially says), but rather lay out some thoughts on the very interesting considerations in his post. You should read those first, but I'll also make sure this post makes sense as a self-contained one (except I am not going to re-explain the epsilon-delta definition of continuity; see my linked post what I hope is a pretty okay intuitive gloss of it).