The author examines the question of what logical consequences the formula of an imaginary epistemic structure:Kpa v (~p / ~K~pa) would have (with K standing for the predicate 'know that' which is subject to the axiom Kpa -p); the structure is conceived of as proper to an intended predicate weaker than the predicate know that in ordinary language. A predicate constructed in the indicated way and obviously based on a suitable weakening alternative, would have itself to enter a tautological alternative (in virtue of the respective rudimentary logical requirement applying to all predicates). It appears, however, that the tautological alternative of the would-be predicate and its negation involves dealing with gross absurdities.
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