  Recently there have been numerous proposed solutions to the problem of
logical omniscience in doxastic and epistemic logic. Though these solutions
display an impressive breadth of subtlety and motivation, the crux of these
approaches seems to have a common theme-minor revisions around the ubiquitous
Kripke semantics-rooted approach. In addition, the psychological mechanisms at
work in and around both belief and knowledge have been left largely untouched.
In this paper, we cut straight to the core of the problem of logical
omniscience, taking a psychologically-rooted approach, taking as bedrock the
"quanta" of given percepts, qualia and cognitions, terming our approach "PQG
logic", short for percept, qualia, cognition logic. Building atop these quanta,
we reach a novel semantics of belief, knowledge, in addition to a semantics for
psychological necessity and possibility. With these notions we are
well-equipped to not only address the problem of logical omniscience but to
more deeply investigate the psychical-logical nature of belief and knowledge.
