Salemicus comments on How minimal is our intelligence? - Less Wrong
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Sure. For a start, complex numbers themselves - Bombelli was in the private sector himself. Some others, taken at random:
For-profit: Lightbulb (Edison, 1881), Propranolol and Cimetedine (Black, 1960s), Fractals (Mandelbrot, 1975)
Amateurs: Evolutionary Theory (Darwin, 1830s-50s), Photoelectric effect, Brownian Motion, Special Relativity, Matter-Energy (Einstein, 1905), Linear B (Ventris, 1951),
Actually, if the success rate of this spending is as unknowable and untestable as you say it is, that's an excellent argument to stop forcing unwilling people to pay for it. But note that although I'm happy to fight you on your strongest ground (pure scientific research), surely you must then concede that the rest of the battlefield is mine, and that all government spending on academia that can't be justified in these terms (e.g. arts, humanities, medicine, space exploration, etc) should be eliminated. I'm not doctrinaire - I'd settle for that compromise.
EDIT: I'd truly be fascinated to know why was this voted down.
I don't know precisely why your comment was voted down, but one obvious guess is factual issues:
Darwin got most of his ideas from his time working the survey/exploration ship the HMS Beagle. As you may gather from the "HMS" in front, this was a ship in the British navy which had specific funding to hire and provide support to a naturalist.
This is why I suspect you are getting downvoted. First, it shows a confused notion of what is "pure scientific research"- a large part of space exploration and medical research counts as pure research for purposes of the arguments being made by IlyaShpitser and others in this context. Moreover, you seem to be wanting a "compromise" as if the truth must be somehow negotiable. The key of discussion is to understand what is likely to be actually true. Settling for a compromise isn't how one reaches truth (and no, Aumann's agreement theorem doesn't apply here).
I will not argue with your post as although I disagree with some things you stated, I requested comments on why downvoted. However, I think the following correction is necessary:
Darwin was a "gentleman naturalist," held no official post on the Beagle, received no salary, and in fact had to pay to go on the journey. The ship was going for surveying purposes, and would have gone on its journey regardless of his presence. He held no academic position in the years afterwards when he was working on his theory. I think it's quite reasonable to classify this as amateur.
So from reading this Wikipedia summary it looks like the situation was actually more complicated than either of us realized (although definitely closer to your summary):
So yes, he was self-financed. But the primary issue is that he was given support by the crew and the entire existence of an exploration ship (which if anything seems pretty similar to the space program you've criticized). Would you call someone who does work without pay now using data from NASA an amateur? If so, then the term "amateur" isn't very relevant to capturing the most important detail- where the resources for their work comes from.