What do you think would have been the result, and hence the history of mathematics, if, when challenged, Newton had thrown up his hands and recanted?
The same argument can be made for Charles Darwin's evolutionary theory or Einstein's stand on Quantum Mechanics.
If Darwin had recanted, we'd still have the same theory, probably, and I believe the author would have been Alfred Russel Wallace.
As for Newton, I really don't know who would have done the same, but I'm pretty sure that somebody would have, sooner or later.
Anyway, just my $.02
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