This is not a substantive argument.
As an argument against this: "
Chess has been around for hundreds, if not thousands, of years--we've had ample time to figure out all the potential moves", I'd say that it goes well beyond substantive.
If all you have are cheap "HA! Gatcha!" tactics, I think we're done here.
You know, I started out with what I thought was a suitably non-confrontational tone: "
I think you may be underestimating the combinatorial possibilities in chess". I was thinking that perhaps you might take the opportunity to investigate the matter for yourself before arguing the point further, but you obviously chose not to take that opportunity. That you now claim to be a victim of "gotcha tactics" suggests that you've finally gone ahead and done that. Though a little more effort on you part might have made the process less painful than it had to be, at least you ended up learning something. You have (I'm guessing) now added a new phrase to your vocabulary: "Shannon number", and now know that the game-tree complexity of chess exceeds the number of atoms in the observable universe by many orders of magnitude. So, the way I see it, you're just another satisfied customer reporting that the "E" in "JREF" is working.
My point was that you can't simplify things down to "That was daring; obviously you're not thinking critically about the subject".
I don't disagree. It is not my position that critical thinking and creative thinking are mutually exclusive; merely that they are not particularly compatible.
For me, the creative process typically involves two phases. The first is to generate as many ideas as possible, the rule being that there are no rules; nothing is too crazy to consider during the first phase. The second phase involves shooting down the ideas that obviously won't work, for whatever practical reason(s). If there's anything left, those are the ideas that may be worthy of further consideration.
You noted: "
In a conversation, however, there is a much broader range of options for each next step; it's not unreasonable to say that they're functionally infinite", and I agree with this as well (mostly). It reminds me of something Steven Pinker once said: "
Virtually every sentence that a person utters or understands is a brand-new combination of words". It's a rather remarkable observation, actually. The architectural space of, say, the English language may be somewhat larger than that of chess, but still,
finite -- yet within that space (just as within the architectural space of chess), the combinatorial possibilities are, as you said, "functionally infinite".