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Difficult to argue with numbers.
At the end it talks about an 80 move game. What would the values be for the first 25 moves?
I thought the same thing - 80 moves seems a bit atypical.
Sorry, not a mathmatician. Which of these numbers is the largest:
4×1079 1081 10123
10^123 is a one with 123 zeros following which is hugely larger than 10^81 (one with 81 zeros following) or 4x10^79 (4 with 79 zeros following).
I'm with you, though - intuitively, I'd never have dreamed there were more chess positions than atoms in the universe! I think the 80 move assumption is big here - agree with your question, what would it be in just 25 moves; a lot less I bet.
These numbers seem to have more zeros than there are chess positions.
I notice the earlier paragraph in the wiki article estimates only 10^47, which is far fewer positions than atoms... but that paragraph doesn't mention the number of moves limitation.
So, who knows...
I was just sitting here wondering why number-heads could not come up with a reliable number. Then I remember promotion of pawns. There would have to be calculations that included promotion of all 16 pawns on the board.
Maybe chess is infinite.
I'm sure this thread, like so many 'can chess be solved' threads, will become infinite.
chess is not infenite there are somewhere between 1x10^120 and 1x10^123 possible legal possitions.(1x10^120 is a one wiht 120 zero's behind it, so a lot.) 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Another question is how many moves (perhaps this was touched on earlier in the thread and I missed it) can there be in a chess game? Is that infinite or is there a certain point millions (or more) moves into the game where a stalemate is unavoidable?
If not, then perhaps in that way chess is infinite.
You might take a look at the link MrOyer posted a bit ago. It seems to be saying, in an 80 move game, it is at least 10^123.
Sorry for capitalizing your name incorrectly there Mark. I just occurred to me the MR does not stand for mister.
Mr. Oyer... we can go with that.
By the way, there are more ways to mis-spell my name than there are atoms in the observable universe.
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