|Omniscience: the ability to know all statements. - Logical problem even the understanding of a logically true statement could could cause the requirement, that all logical consequences are known. E.g. Knowing the calculation rules would logically require that all the results are known.|
Books on Amazon
belief / intentionality / Stalnaker: (> logical omniscience): Problem: Difference between believing a sentence and another, that is that logically equivalent: the content is the same, but the shape is different.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980