@Caroline,
John W. Kelly wrote:I'd have to say that science began with some caveman looking up to the Moon or stars and wondering. Or should we see this as the beginning of philosophy?
Caroline wrote:Who knows, maybe both?
Exactly. At one point in time, the two were not separated. It is interesting to see how, as humans devise artificial boundaries, we begin to argue for their reality and solidity. I'm not one to say boundaries don't exist, but we never seem to put them in the right place.
Aedes wrote:There were many great mathematical achievements in medieval Islam, and not just in calculus.
Thanks for pointing me to this. I find wikipedia more useful as a starting point than the final word, but it looks like there are some good references at the end of the article. The people cited in the article took some important steps to laying the foundations of calculus, but I wouldn't call it calculus - just the foundations.
I'm aware that Islam had some excellent mathematicians. But, as I said, they didn't perpetuate it. To over simplify a very complex situation, the upper eschelons were happy to skim off the cream and didn't reinvest to perpetuate their successes. Prejudice kept them from incorporating ideas - a "not invented here" syndrome. So, all that really remains of their efforts is what Europeans picked up from them.
Not saying this is what you're doing, but I disagree with those who search the dregs of history for something resembling a renowned accomplishment, and then claim "so-and-so was first" as if that uproots the renowned accomplishment.
Newton is the recognized founder of calculus, and so I think the legitimate approach is to ask how much of his work is original and how much he borrowed. The legitimate challenge to Newton is Leibniz. Also, Newton relied heavily on the binomial theorem to build his ideas. He probably got his version from Pascal. Who, then, does Pascal rest upon? It appears Euclid and Omar Khayyam worked on some primitive versions, but did Pascal know about that? I haven't dug that up yet.
So, did Newton know about the Islamic mathematicians? Again, I don't have the background to say. But, with the references you've provided I can start to dive into that.
So, back to my original question, I would apply the same technique to Bacon - not a disjointed citation of what obscure person did something in outer Mongolia in the 5th century B.C., but who did Bacon build upon? I don't mean that to be combative, but as a challenge to think critically about how "science" as we now define it, came to be.