Dear Kasyap, others,
Regarding stochasticity, I think there are also alternatives to the models and perspectives that you and others advocate or discuss.
For instance, I believe that the dominant scientific models we all reference have developed from the root assumption of objectivity separate from subjectivity -- in the slang terms that I learned: via the so-called Cartesian subject-object split. If one wrestles that entanglement to the ground and simplies (hopefully not over-simplifying), then everything in the objective category is also ~equal to or a member of the strongly repeatable subjectivity category. That is, things that repeat strongly (consistently...) we have been educated to call "objective". ....Discern a pattern once or twice and it is just a "subjective feeling". Repeat the same "subjective feeling pattern" at several accredited, independent international science labs and we have a confirmed instance of a strongly repeatable subjectivity pattern ...that we previously have agreed upon and/or been educated to call an "objective fact" -- and probably if it's a strongly repeating pattern, call it an "objective classical physics fact".
Within the repeatable subjectivity perspective, the two-category subjective-objective system collapses into a single category of grades of repeatable subjectivity, or to the spectrum of repeatable subjectivity. This spectrum includes non-repeating, rarely repeating, stochastically repeating, periodically repeating and strongly repeating, etc., 'feels', 'measures', 'impressions'... phases. The strongly repeatable variety matches up with what we label as patterns in "classical physics", whereas the stochastically repeatable varieties may populate the "non-classical physics" realm, with some registering in the QM, xQED storylines and regions.
For those interested, spiritual liberties may be then be seen to associate closer with rarely repeating (and/or more highly nested) situations, but still within the same single repeatable subjectivity spectrum category. I suppose 'this all' may be more like a different, more nested topological viewpoint, and focusing more directly upon repeatability rather than "stochasticity" or "measures of probabilities" along with or versus, 'always' or 'assumedly never' happening events.
