Thank you for the answer. I assume that distincting between probability and confidence (taking into account only those two orders of probability) has some benefits.
Kind regards, ivan uto, 19. sij 2021. u 20:56 Ben Goertzel <[email protected]> napisao je: > 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 > . > -- 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%3Dj6Vigj-EEK5sNFQPZAUfPDTwwOxYimcPwYYOiHtsgR12HQ%40mail.gmail.com.
