Augustus
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So are you saying that the OP is just quote mining when it comes to Tyson? That appears to be the case quite often. Darwin did say that. But of course that phrase was taken out of context. He was not advocating for that action, he was predicting and lamenting that action.
And AG was using maths to refute an unscientific argument.
Tyson does not appear to be doing that with AG. You keep ignoring the fact that he got that idea from what appears to be most of the historians that cover this matter. And if you rea AG's work about science after his change they sound a lot like Ken Ham discussing "historical and observational science". As usual when it comes to history you appear to have it backwards.
And you keep ignoring that a) it's not most, you just made that up out of thin air, and b) the handful who say this are not specialists on Islamic philosophy and do so based on an obvious misrepresentation of AGs occasionalism as meaning nature was unpredictable and thus not worth studying. AG literally ridiculed such an argument otherwise: a man who left a book in his home would have to say, 'I do not know what is in the house now, and the extent of what I know is only that I left a book in the house, and perhaps now it is a horse.'
I explained the fallacious reasoning in your Ken Ham analogy before and why it is nonsensical for multiple reasons:
This is Presentism: distortion of the past by applying anachronistic modern ideas to a situation to the past that acts as a barrier to understanding.
It is common in discussions of the history of religion as people cannot help but see the issues via the lens of US Protestant fundamentalism even though this makes no sense in a historical context.
Firstly, this is not a "science v religion" dispute, it is a philosophical dispute between AG and specifically Avicennan philosophy. But if AG is Ken Ham, then the other side must be the 'good guys', perhaps even proto-scientists. In reality, neither of them are scientific positions, although AG uses science to refute an unscientific argument. Note this criticism of the philosophers is similar to that which helped give birth to modern science.
Two, thinking this is like a modern, mass media apologetic tactic couldn't be further from the reality. This is a small scale philosophical debate for the intellectual elites. KH relies on fooling large numbers of non-experts who invest little energy in rational analysis with sophistry. The tactic makes no sense in this environment.
Three, Because of incorrect presentist framing, you have it exactly backwards regarding "weasel words". Science then basically meant 'knowledge" or "branch of knowledge", so many things that wouldn't be science today would fall under that umbrella. Rather than "weasel words" he is actually making a necessary qualification. By noting the exact sciences, he is highlighting those where you get a demonstrably correct result and differentiating them from other subjective areas of knowledge. It's no more a weasel word than making a distinction between natural sciences and social sciences today.
Fourth, the motivation for KH to do this makes no sense when applied to the 11th C. Creationists basically argue against evolution and geology. The sciences then were things like astronomy, optics, medicine etc. The problems for modern creationists didn't exist. The kind of thing he was arguing about was "is the universe eternal or was it created" which had nothing much to do with science.