re: Demystifying the Long Arrow "Operator" VIEW POST

re: Exactly the point I tried to hit on. I purposefully added quotation marks around the word "operator" every time I used it in the context of the "lo...

but you also called it analogous to a limit function. which is confusing and it's just not. limits in my mind are inclusive, infinite sequences, not integer-based, step-wise functions that forget their initial value.

That's true. I do catch your drift. I see where I might have caused some confusion there.

It isn't meant to equate the two ideas, though. One shouldn't get too worked up in it. It is just an analogy after all.

i think the issue is that it's a bad analogy. it draws parallels where there are none, and it creates a mind map that just doesn't match the terrain.

That's true. This isn't the first time I've made bad analogies. Guess I'm still learning how to play with my words in an interesting manner. I'll keep working on it.

Admittedly, though, I don't see the analogy I made as entirely wrong. There is still some truth to it. The notation does imply some sort of "approaching by decrementing" to an extent. Regardless of that, it's still a bad analogy, as you said, and I agree.

However, I won't edit the article because that's really how I thought about the notation at first. It would really be dishonest of me and to myself if I changed the analogy now. So for now, it shall serve as a reminder to me to be better with my analogies.

The notation does imply some sort of "approaching by decrementing"

i think the issue is that "approaching by decrementing" just isn't a limit. if you'd stumbled across a "approach through an infinite sequence" operation (maybe something that recursively takes smaller steps as it approaches a correct answer?), then i think you'd be on to something.

I see. I get your point.

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