Logical positivism finally disintegrated altogether in the 1960s. It failed not for one reason, but for dozens, each individually fatal. I know of no discussion enumerating them all. _The Eggplant_ covers more of them than any source I’ve found.https://meaningness.com/eggplant
I think you are applying a contemporary scientific worldview (specifically a Kuhnian one) that physicists of the 1800s simply didn’t have.
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I wonder if you are concentrating on what “philosophers of science” and suchlike thought and said, whereas I’m concentrating on the actual scientists? People like Maxwell or Boltzmann.
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I am discussing the impact on modernity, ie the overall structure of culture & society.
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My impression was that by the 1890s the gaps were starting to show, but I think people expected "nice" answers that didn't overturn long accepted Truths like Newton. EM also seems less problematic, I would expect that a relatively young theory would be forgiven some difficulties
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100 years ago today, the New York Times announced the death of rationalism.