Yeah this was all dealt with quite a lot in the original PLN book from 2008 or whatever... PLN confidence values are interpreted in terms of imprecise probabilities (cf Peter Walley) and indefinite probabilities (our own invention), which are both concise ways of describing second order probability distributions
You can have n'th order probabilities too, I even wrote a paper once on infinite-order probabilities and their use to model the semantics of uncertain self-referential statements ;) ben On Tue, Jan 19, 2021 at 10:54 AM Ivan V. <[email protected]> wrote: > > Just a short question relating to truth values, if anyone is interested in > discussion: > > Formulas in Atomspace have two fuzzy truth values associated: probability and > confidence. Now, may confidence be described as probability of probability? > If so, why not to call it second order probability? And, if so, may there > exist a general higher order probability notion? That would be a truth notion > that may recursively apply to [initial formula], to [[initial formula] with > associated truth value], and so on, producing a pattern: [...[[[initial > formula] with associated truth value] with associated truth value] ...]. > > Is this making any sense? > > Recent research documents that dr. Goertzel published around here talk about > specific distinctive interpretations of probability and confidence. Those are > some nice correspondence fitting ideas, but taking the above under > consideration, may there exist some general, recursive interpretation that > makes use only of one kind of higher order of probability? > > Kind regards, and hoping not to disturb too much, > ivan > > -- > You received this message because you are subscribed to the Google Groups > "opencog" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion on the web visit > https://groups.google.com/d/msgid/opencog/CAB5%3Dj6XFkCtsBNZ1N3cWDidehFAN390-qfx%2BaY3KGxQmWAcpAQ%40mail.gmail.com. -- Ben Goertzel, PhD http://goertzel.org “He not busy being born is busy dying" -- Bob Dylan -- You received this message because you are subscribed to the Google Groups "opencog" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/opencog/CACYTDBc6hAWVkxkQy6vawaWyt6Qf3axwSQhd_oavFC%3DsnYOLsg%40mail.gmail.com.
