 Those who do find it plausible that they can be directly aware of relations of correspondence between propositions and facts, and who accept some internalist requirement to the effect that one must be aware of the relevance of some fact to the truth of a proposition in order for that proposition to be justified for one, may be inclined to go a bit further and accept the possibility of acquaintance with other logical or probabilistic relations between propositional and nonpropositional items. As we saw above in discussing inferential knowledge, some acquaintance theorists already accept that we can have acquaintance with entailment relations and, more controversially, epistemic probability relations between propositions. If we can be aware of similar relations, at the foundational level, between some propositions and facts with which we are acquainted, this might significantly extend the sorts of foundational beliefs satisfying strong internalist requirements. To give just a few simple examples, suppose that I am directly aware of a red triangle in my visual field, and also aware of a relation of logical exclusion or incompatibility (or, if you like, non-correspondence) between the figure’s being a red triangle and the proposition that it is green, that it is a circle, or that it has five sides. If acquaintance with correspondence is a source of noninferential justification, then perhaps acquaintance with these relations of incompatibility can be a source of noninferential justification for disbelieving these propositions, or for believing their negations—believing that the figure is not green, that it is not a circle, and that it is not five-sided respectively. According to Moser (1989), we can also be directly aware of probabilistic or explanatory relations between propositions and nonpropositional items—e.g., between the proposition that there is a blue book here, and the given appearance of a blue book (though, as already mentioned in  section 3.1,  he seems to take this as a requirement for doxastic as opposed to propositional justification).