this doctrine, from the perspective of Mill’s a posteriori school, is that it supports the belief that one can know universal truths about the world through evidence (including intuitions or Kantian categories of the understanding) provided by the mind alone rather than by nature. If the mind constitutes the world that we experience, then we can understand the world by understanding the mind. It was this freedom from appeal to nature and the lack of independent (i.e. empirical) checks to the knowledge claims associated with it that Mill found so disturbing.
Questions of ultimate ends don’t admit of ‘proof’ in the ordinary meaning of that term. It’s true of all first principles—the first premises of our knowledge, as well as those of our conduct—that they can’t be proved by reasoning. But the first principles of our knowledge, being matters of fact, can be the subject of a direct appeal to the faculties that make judgments of fact— namely our ·outer· senses and our internal consciousness.
For Mill, human knowledge is always fallible and always incomplete. Mill maintained that inductive logic is the true basis of knowledge. Mill sees experience