This is pretty muddled and wrong. You use a lot of terms in an unorthodox way. For example I don't know how something that is true cannot ever be justified (how else do you know it's true!). Also, there is no such thing as science without induction, no laws of physics or predictions. So I'm pretty confused about what your position is. That's okay though because it looks like you've never heard of Bayesian inference. In which case this is a really important day in your life.

The wikipedia enty

The SEP entry

Eliezer's explanation of the Math

Also: the "Rationality and Science" subsection at the bottom here.

Who has better links?

Edit: Welcome to less wrong, btw! Feel free to introduce yourself.

Edit again: This PDF looks good.