an argument for agnosticism
Let us take inductive inference to consist in extrapolating the broadest-according regularities of our experience to universal laws, each within some larger domain or context than the experiences themselves. On a small scale this is easy to envision, and we can appeal to such canonical examples as the inference that all swans are white from a large random sample of uniformly white swans. However, we must also take inductively-inferred laws to "accord broadly" with all of the regularities of our experience. For instance despite the fact that we have only ever personally encountered white swans, perhaps we have heard from a reliable source (wikipedia?) that there exist black swans. To infer that all swans are white under these circumstances might accord narrowly with our first-hand experiences of swans, but not broadly with our other non-swan experiences, namely the experiences which lead us to decide that our source for information on black swans is reliable. So inductive...