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The Two Logicians (Posted on 2003-04-11) Difficulty: 3 of 5
Two logicians place cards on their foreheads so that what is written on the card is visible only to the other logician. Consecutive positive integers have been written on the cards. The following conversation ensues:

A: "I don't know my number."

B: "I don't know my number."

A: "I don't know my number."

B: "I don't know my number."

........ n statements of ignorance later..........

A or B: "I know my number."

What is on the card and how does the logician know it?

See The Solution Submitted by Ravi Raja    
Rating: 2.5556 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
HA | Comment 6 of 7 |
So, when one sees the card as 2, he would realize he had one, so he would say that he did not know. That would go on, with the first guy as n, and them saying "I dunno" because of one having n(x)-1, which makes it n+1
  Posted by Chaz on 2003-05-03 04:04:42
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