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Inverse View
It is not the case that Epistemic logic can express principles that AGM belief revision and non-monotonic logic cannot straightforwardly express
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Reasons For
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Reason for 1 of 2
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1.
AGM belief revision can be extended to iterated revision via Darwiche and Pearl's (1997) postulates, which encode higher-order doxastic states in epistemic entrenchment orderings.
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2.
Once iterated AGM revision is formalized, the principle Bp → BBp can be captured by constraints on the agent's conditional belief structure without modal operators.
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Reason for 2 of 2
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1.
The principle Bp → BBp is rejected by most epistemologists as psychologically unrealistic and is explicitly denied in weak S4-alternatives like the logic KD45 without positive introspection.
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2.
If Bp → BBp is not a universally valid epistemic principle, then AGM's silence on it reflects a theoretical virtue rather than an expressive limitation.
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Reasons Against
1 perspective
Reason against
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1.
Epistemic logic can express the principle that if an agent believes p, then the agent also believes that the agent believes p (Bp → BBp)
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2.
AGM belief revision cannot clearly express iterated belief (BBp) because membership in a belief set does not straightforwardly encode higher-order belief
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3.
Non-monotonic logic cannot straightforwardly express the principle Bp → BBp either
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