I disagree. The term "computer" was typically reserved for people who exclusively did often pre-defined computations, and didn't contribute much other than the computation to the mathematics at hand. That is, someone else had come up with the novel method of computation, and someone else had formulated the problem. The human computer was applying the computation to problem that someone else handed them.
There was plenty of mathematics before mathematics got to the point where we needed dedicated humans who spend their whole day computing things in a prescribed manner.
But regardless, for some reason I think the original post was referring to electrical/mechanical computers :)
I think it's the same question as whether someone cleaning their own toilet is "a cleaner" for the duration, on which I could go either way.
"There was plenty of mathematics before mathematics got to the point where we needed dedicated humans who spend their whole day computing things in a prescribed manner."
More to the point, there was plenty of useful application of mathematics before then. Which I certainly agree with. My point was that most (and possibly all?) early application of mathematics required computation.
My comment, though, was mostly agreeing with you - just picking apart a technicality to get at some tangential interesting questions.
So, I tried to think of counter-examples to "most (and possibly all?) early application of mathematics required computation" just for the sake of discussion.
I think I have only one, which is the establishment of axioms, both philosophically (as a method) and specifically (e.g. in Elements).
A revisionist history might say that choosing axioms doesn't require any computation, just a keen sense of style and close observation of the world.
But actually, I'm sure that the choice of axioms was a long and drawn-out process informed mostly by computation and checks that the computed values/proven theorems matched with physical intuition. After all, that's kind-of how it's done today, even by people who have lots of experience with formal systems.
Now I really want to read pre-Euclidean mathematical philosophy to see if I'm correct :-)
Yeah, I thought it was interesting space for speculation. 'S why I tried nodding toward it. Don't really know enough of the history to get terribly concrete, but that roughly corresponds to my understanding. Both the actual history and what might be theoretically possible are fascinating.
There was plenty of mathematics before mathematics got to the point where we needed dedicated humans who spend their whole day computing things in a prescribed manner.
But regardless, for some reason I think the original post was referring to electrical/mechanical computers :)