69dodge said:
What do you mean by "demonstrate"? We don't demonstrate it using logical proof; we demonstrate it using experimentation, just like any other scientific theory."Contingently necessary"?
I am definitely not up on philosophical jargon, it seems. 
Anyway, how does one show, for example, that given the way the world is, objects necessarily follow geodesics in spacetime? One doesn't, really. That's a fundamental postulate of general relativity. It is an axiom, not a theorem. According to GR, it is how the world is; it's not something that's derived from how the world is.
Ah, but here you're just restating the problem that one starts with - which is of course why I asked it. How would you experiment on this?
"Ok Mr Jones, I've just shown you a red card - now tell me, did you actually experience the qualitative sensation of redness or are you simply instantiating brain events as a result of causal interactions with this red card which will cause you to act in certain ways distinctive of someone who has just been shown a red card?"
After all, this was kind of the problem about those qualitative states in the first place....We really are forced to come up with some sort of argument (as the problem is the lack of physical evidence that could, logically, tell one way or the other.)
Also - why should the idea of contingent necessity be particularly confusing? It's necessarily true that, given the way the universe is, certain propositions will be true about it. It's not necessarily true, though, that the universe is the way it is -- merely contingently true. (Now, clearly, there are statements about the way the universe is that are just, automatically, necessarily true -- but the point is that not all of them are, and that the supposed relation of qualitative states/brain states seems to look like one of those, barring any good argument.)
Any scientific theory starts from some axioms, which are not logically derived from anything else. They are accepted because, if one accepts them, lots of true things can be derived and few false things can be. The goal is to find a few simple axioms from which everything true can be derived and nothing false can be. But you need to start somewhere; you can't derive anything from nothing at all. There will always remain something about which we can say nothing more than, "this, apparently, is simply how the world is."Can you elaborate on what you see as the difficulty? The motivating factors are, (1) we're conscious, yet (2) whenever we look closely, we find that we, including our brains, follow physical laws. So what causal role is left for things like our will? None, it would seem. Hence, epiphenomenalism. Is that too simplistic?
Er, first off you better mean that "no false things can be derived from it", or at least I would hope so, as deriving a falsehood from a set of axioms is kind of, you know, a problem. (Perhaps "they are accepted because, if one accepts them, lots of true things can be derived, though not all true things." was what you were intending?)
Also, no it's not too simplistic, at least not for a first statement of the problem -- that is to a certain extent the motivating problem involved. However, 'the will' is probably the worst possible choice, as you're importing an awful lot of baggage in with that -- generally qualia are used, or beliefs, or something that it's easier to deal with but are equally problematic (in this way).