In order to understand why it is accepted in the scientific community, and elsewhere, you need to understand the philosophy of science, and what constitutes a "proof." Nothing can ever be proven absolutely except deductively. Evolution is understood inductively. Of course Hume had doubts about induction--sort of like the Uncertainty Principle: you can never be sure with induction. But if we threw it away as a principle of science, there would be very few scientific truths, maybe none.
Bacon would be proud of you!