A third party writes a positive integer on two post-it notes and then places one each on the foreheads of two perfect logicians. The integers are consecutive. All of this is common knowledge. He then asks the logician with the lower of the two integers to begin the conversation (this is not known by the two logicians). The following conversation ensues.
Logician A "I don't know my number."
Logician B "I don't know my number"......this stement is repeated N times.
Finally, one of the logicians says "I know my number."
As it relates to N, what is the integer on the forehead of the logician who first identifies his number? Why?
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A third party writes a positive integer on two post-it notes and then places one each on the foreheads of two perfect logicians. The integers are consecutive. All of this is common knowledge. He then asks the logician with the lower of the two integers to begin the conversation (this is not known by the two logicians). The following conversation ensues.
Logician A "I don't know my number."
Logician B "I don't know my number"......this stement is repeated N times.
Finally, one of the logicians says "I know my number."
As it relates to N, what is the integer on the forehead of the logician who first identifies his number? Why?
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