As my question prompted, could you please explain one possible way such a development could occur?
Any, and I do mean any, of the uses that we see steam put to in the OTL 19th century.
There is no reason why you couldn't see someone, having worked out that steam can do useful work, would necessarily apply it to mines (in any sense) first.
It depends on when/where steam power as a thing that can do useful work comes up, and what the interests are of those who have such - in OTL Britain pumping coal mines is obvious, but it could easily start with people trying to use it to power textile mills away from rivers or even "skip" to people attempting to harness it to move things to pick two possibilities that happened early on.
Agreed.
Europe learned to apply the scientific method through trade and war with the Islamic world and by reexamining the legacy left to them by the Romans, and that took several centuries. And of course,
Whatever was the perfect storm that caused the ancient Greeks to invent the scientific method is irrelevant. What is inescapable is that ONLY the ancient Greeks invented the scientific method. The fact that no one else came up with it independently indicates to me it's not as intuitive as people think it is.
And once again, the argument that OTL happened a certain way, therefore it happening another way with centuries of history different than our own cannot be taken seriously is raised. Intuitive or not, you'd need a pretty strong argument to justify the idea the right elements can only come together where they did OTL even if the alternate places are not the same as OTL.
http://explorable.com/who-invented-the-scientific-method
And its not as unambiguous as "the ancient Greeks" even if we're looking at OTL.
The Greek approach to science =/= the modern scientific method. It was a step along the way, but only a step.Nothing is impossible but I don't see it being terribly likely Song China independently inventing the Greek approach to science and soon after invent the Watt steam engine. The ancient Greeks didn't invent the Watt steam engine either, no one civilization did it on their own. It was the product of the cumulative knowledge from lots of different places.
And the ancient Greeks are a lot further from having the tools to make the Watt steam engine, regardless of the scientific method, than 12th century China.
That's rather relevant.
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