(1)
"Half of People Believe Fake Facts"
http://neurosciencenews.com/false-memory-facts-psychology-5698/
(2)
"In an uncertain and ambiguous world, effective decision making requires that subjects form and maintain a belief about the correctness of their choices, a process called meta-cognition..... It is important to mention that in this paper it is not claimed that belief is explicit, conscious or readily accessible for verbal report."
Paper
above occurs on a bayesian description of belief, in the regime of probabilities; a "formalism" entitled "p(z=k|x,d=k)".
Related 'human choice suboptimality' 2-years later paper from an author on the prior paper:
"In such conditions, human choices resemble optimal Bayesian inference, but typically show a large suboptimal variability whose origin remains poorly understood".
The bayesian aligned 'belief' is shown to carry 'large suboptimality'...
(3)
Wikipedia is not complete, but Wikipedia's data distribution is non-trivial.
Wikipedia neuroscience analysis reveals a single paper that clearly refers to belief.
"...Recalling is, in some degree, always falsely believed, for a given recall is never exactly
like the original experience and goes through various modifications without our awareness, so much so that we falsely believe that memories
represent events exactly the way we experienced them."
(4)
"A cognitive account of belief"
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4327528/
"...Belief /] (Evans, 1989; Gilovich, 1991; Johnson-Laird, 2006; Nickerson, 2008). People, for example, tend to seek confirmatory information that supports their belief and be overly influenced by this information,
but neglect information that is critical of their belief (Nickerson, 1998, 2008). People may also use inefficient strategies that waste effort on non-diagnostic data (Fischoff and Beyth-Marom, 1983; Evans, 1989; Johnson-Laird, 2006) or focus on heuristics (Kahneman et al., 1982; Gigerenzer and Gaissmaier, 2011; Kahneman, 2011; see also Gilovich et al., 2002). Indeed, the heuristic of anchoring and adjustment, which reflects the
general tendency to rely on initial judgements and discount newly obtained information, means that knowledge received after the initial judgment
may be distorted to fit the original hypothesis."
(5)
The Relation Between Intelligence and Religiosity
http://journals.sagepub.com/doi/abs/10.1177/1088868313497266