[FOM] WILD chess conjectures
Harvey Friedman
friedman at math.ohio-state.edu
Tue Nov 11 03:06:21 EST 2003
CONJECTURE 1. The actual game of actual CHESS is a draw, is neither provable
nor refutable in ZFC with abbreviation power, using less than 2^1000
symbols.
CONJECTURE 2. The actual game of actual CHESS is a draw, is neither provable
nor refutable in ZFC + "there exists an elementary embedding from a rank
into itself" with abbreviation power, using less than 2^1000 symbols.
CONJECTURE 3. There is an actual chess position in actual CHESS, where it is
provable in ZFC + "there exists a measurable cardinal" that it is a draw,
using less than 2^20 symbols (with abbreviation power), but there is no
proof in ZFC using less than 2^1000 symbols (with abbreviation power) that
it is a draw.
Harvey Friedman
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