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Tags
#conditional-doxastic-models #doxastic-logic #logic-of-conditional-beliefs #muddy-children #private-announcements #public-announcements #serious-possibility-paradox-project
Question
Once upon a time there were three very wise children, playing in a garden, under the tall trees. Despite their father’s warning, naughty Adam and Eve got mud on their foreheads, but obedient Mary stayed clean. Then the father came to them and said:“Behold, at least one of you is dirty”. Eve secretly checks her face in a mirror and answers correctly: "I'm dirty". How will Adam and Mary answer if they suspect no cheating?
Answer
Adam: I'm clean (falsely)
Eve: goes crazy, incoherent (believes both that she is clean and that she is dirty)

Tags
#conditional-doxastic-models #doxastic-logic #logic-of-conditional-beliefs #muddy-children #private-announcements #public-announcements #serious-possibility-paradox-project
Question
Once upon a time there were three very wise children, playing in a garden, under the tall trees. Despite their father’s warning, naughty Adam and Eve got mud on their foreheads, but obedient Mary stayed clean. Then the father came to them and said:“Behold, at least one of you is dirty”. Eve secretly checks her face in a mirror and answers correctly: "I'm dirty". How will Adam and Mary answer if they suspect no cheating?
Answer
?

Tags
#conditional-doxastic-models #doxastic-logic #logic-of-conditional-beliefs #muddy-children #private-announcements #public-announcements #serious-possibility-paradox-project
Question
Once upon a time there were three very wise children, playing in a garden, under the tall trees. Despite their father’s warning, naughty Adam and Eve got mud on their foreheads, but obedient Mary stayed clean. Then the father came to them and said:“Behold, at least one of you is dirty”. Eve secretly checks her face in a mirror and answers correctly: "I'm dirty". How will Adam and Mary answer if they suspect no cheating?
Answer
Adam: I'm clean (falsely)
Eve: goes crazy, incoherent (believes both that she is clean and that she is dirty)
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Once upon a time there were three very wise children, playing in a garden, under the tall trees. Despite their father’s warning, naughty Adam and Eve got mud on their foreheads, but obedient Mary stayed clean. Then the father came to them and said:“Behold, at least one of you is dirty”. Eve secretly checks her face in a mirror and answers correctly: "I'm dirty". How will Adam and Mary answer if they suspect no cheating?

Original toplevel document (pdf)

owner: rappatoni - (no access) - Baltag and Smets - conditional doxastic models a qualiltative approach to odynamic belief revision.pdf, p1

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