B What should Sleeping Beauty's credence be in a life-or-death coin toss?

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The discussion centers on the Sleeping Beauty problem, where the focus is on determining the credence Sleeping Beauty should assign to the outcome of a coin toss upon waking. A referenced article argues that credence does not need to align with betting odds, suggesting that new information can alter perceived probabilities. Participants debate the implications of anthropic reasoning and the nature of "new information" in the context of the problem, ultimately concluding that Sleeping Beauty's confidence in heads should be 1/3. The conversation highlights the complexity of defining credence and the limitations of using betting scenarios to illustrate belief. Overall, the problem remains a contentious topic in philosophical discussions about probability and belief.
  • #91
Stephen Tashi said:
Can the person flip the coin on the last day of the week?

Of course.

If so, this is must be justified by a cultural convention - e.g. When we are solving a problem on an exam that is not worded with complete clarity, we know we must assume enough information to solve the problem.

Fortunately this isn't a question on an exam, so I'm not going to worry too much about this. The point is you go in randomly and you don't know if the light has been on for two days or only one day
 
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  • #92
Let’s say when she is wakened someone threatens to kill her unless she can guess the way the coin landed. What would her credence on heads be now?Let’s say we flip two coins and unless they both land tails she is only awakened once. But if both coins land tails she is awakened a thousand times. And then, when she is wakened she is forced to bet her life on the way the coins landed. Should she bet on both having landed tails or on at least one of them having landed heads?
 

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