>>Stathis: OK, I agree with your reasoning. But, just for fun, can you 
>>think of an example of a physical reality which is clearly a priori 
>Jonathan Colvin: That's a good question. I can think of a chess position
>is a-priori illegal. But our macroscopic world is so complex 
>it is far from obvious what is allowed and what is forbidden. 
>That's why I can't consistently predict what tomorrow's 
>lottery numbers will be. So if I could answer your question, 
>I'd probably be out buying lottery tickets right now :).

To elaborate, even something as simple as chess rapidly becomes too complex
to answer your question. I can show you a mid-game chess position, and in
general it will be unfeasible (even with all the computers in the world) for
you to answer the question "is this position a-priori contradictory with the
theorem of chess". This is because there at are 10<sup>120 possible chess
games. If it is that hard to answer the question about a system as simple as
chess, it becomes easier to see why it is so hard to answer such a question
about our world.

Jonathan Colvin

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