"AI" == "what (through tech) can replace a professional"
It may seem similarly vague, but it does in fact open interesting, productive, and necessary questions. A "computer" was a professional crunching numbers - "replaced", "easily" because of the deterministic procedural nature of said work, but what about the technical effort to arrive there, and what about the less "mechanical" jobs? When do "processes" become "intelligence"?
Some of us had studied AI originally to study the mind - "how do we formalize thought". It's the interdisciplinary, transversal nature of the area.
Also maybe compare that with that large and important intersection between CS and Economics - the "science of optimization" and its implementation in efficient IT systems. The effort in terms of that different discipline may not be evident, yet lots of engineering is "optimizing" and the generalization of those solutions we call Economics (see the book Algorithms to live by).
So: the term "Artificial Intelligence" may not be important as CS solutions to practical problems are built (you just focus on the better solution), but there is relevance to the "side disciplince" of AI, and from that perspective that is the cone, the scope anyway. "How would an intelligent solver approach the problem".
> "AI" == "what (through tech) can replace a professional"
But as you point out, we used to have human calculators. So is a simple desk calculator a form of "AI"? If so, what type of software isn't AI?
> is a simple desk calculator a form of "AI"
If what it does is "taking care of the carry", it represents a pretty minimal requirement for intelligence - it does replace a professional that could do it, but that professional does not have to apply too much proficiency and cleverness to do its job. It is improper AI.
> what type of software isn't AI
That which would not correspond to the job of an intelligent entity. Maybe blitting bitmaps around a screen?
As I tried to convey, it is more of a matter of perspective: the area of "implementing ways to solve problems as an intelligent entity would". It is a discipline that intersects others - engineering, logic, brain science, philosophy, epistemology, maybe again economics (as "the science of optimality and efficiency" - as an intelligent solver would do)... Consider it a special discipline that spans many other realms.
> Maybe blitting bitmaps around a screen?
Okay, that makes sense. Even so:
> If what it does is "taking care of the carry", it represents a pretty minimal requirement for intelligence - it does replace a professional that could do it, but that professional does not have to apply too much proficiency and cleverness to do its job. It is improper AI.
I think you're underselling how much mental work is required to solve complex arithmetic. Yes, it's simple for a computer, but (1) even basic computers are extremely complex in absolute terms, and (2) even the most complex computing tasks could be considered simple once you break them down far enough—for example, a large language model is "just" fancy matrix multiplication.
So I feel like there's a "sufficiently advanced technology is indistinguishable from magic" element here. Something becomes AI once it seems sufficiently advanced. But then time passes and it doesn't feel that advanced anymore.
I understand that human language doesn't always have a super precise definition, and I'm not trying to be pedantic. I think the term "artificial intelligence" is under-specified to the point of having virtually no meaning. To the extent that it is useful—obviously, a lot of people are using it conversation, so something is getting communicated—it's because it's possible to infer from context what someone is referring to (ie "the student used AI to write her essay" is clearly referring to an LLM, not Eliza).
We'd all be better off if we used words that describe what we're actually talking about.