Or are you implying that for some unspecified reason that would be impossible?
I expect the problematic accountability would be accountability for results, but why would that be necessary for government funded research? Negative results are progress, not failure. Now you know something doesn't work when you didn't before.
On the other hand, if there was accountability for e.g. the research being reproducible, why would that be antithetical to science?
It's not like public research funding comes at the expense of private research. Public research funding allows there to be a higher total number of scientists doing research than there would be, all else equal, without it.
And there are clearly things patents don't provide the right incentives for. Anything that benefits all of humanity is very difficult to recover the value of as a patent because engaging in licensing transactions with every single person everywhere is prohibitively expensive. And then the license fees artificially reduce adoption of the invention until the patent expires due to supply and demand (price goes up, demand goes down), making it even harder to recover the full value of the invention. Which would imply that patents necessarily result in under-investment in research.
"Anything that benefits all of humanity" should be recognized as inherently valuable to fund and therefore would be useful to look at reducing the costs of "engaging in licensing transactions". In other words, society may benefit by making it easier (or less costly) for the researcher or innovator to be rewarded - thereby increasing the incentive to create something to benefit humanity.
Yes, it does. It sucks productive capacity of the scientists, and also has a system that's destructive to the creative potential of people actually doing it and trying to "make it", ultimately incompetent people are promoted, and that causes a death spiral as competent people are disinventivised from continuing to participate because the smart and observant ones quickly realize labor is exploited by their lessers, and they get out. Ironically, increasing public funding to the sciences makes this worse by rewarding the existing superstructure of leadership (and creating more bureaucracy to administer). The bureaucracy is even worse: who decides to become a science administrator instead of a PI? Only the people who really couldn't hack it. (With apologies to the two exceptions I know personally)
I’m not quite sure what you’re getting at. Are you suggesting that scrapping government funded research in favor of letting tax-exempt charities handle it instead would lead to just as much innovation?