The other effect is that it seems to function as some sort of intra-brain communication.
This is not so surprising. Intra-brain conflicts are well-established neuro-psychological phenomena, primarily on account of the presence of two hemispheres being thinly connected by axon fibres. There is a degree of modularity in the brain, because each hemisphere tends to work within its own sphere as a general rule.
I am curious to know: which hand/finger generally exhibits these non-verbal cues for you to recognize and label particular thoughts consciously?
Here’s one that comes to mind:
I really don’t know anything about baseball, so if I’m going to bet on either the Red Socks or the Yankees, I’d have to go fifty-fifty on it. Therefore, the chance that either will win is fifty percent.
(Right at the “therefore” is the fallacy put forward as a veritable property of either of the teams winning, when in fact it is merely indicative of the ignorance of the gambler. The actual probability is most likely not 50-50.)
EDIT: Others might enjoy reading this PDF (“Probability Theory as Logic”) for additional background and ideas. There you’ll also see a bon mot by Montaigne: “Man is surely mad. He cannot make a worm; yet he makes Gods by the dozen.”