Re: The [0,1] game and poker
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I think that most people realize that he who can find simple logical solutions to problems that journeyman mathmeticians solve with more complex math (without realizing the existence of the simpler solution), would also likely come up with easier and faster solutions to the difficult problems that those same journeyman struggle with (if he ever chose to familiarize themselves with the subject).
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You don't have to convince me; we never could have solved the infinite-bet [0,1] game with check-raise by brute force, nor could we have solved the no-limit case without solving these things logically first.
But let's face it, these problems #3/#4 are just do-in-your-head things.
Jerrod
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