[FOM] possibility and probability

[jean-yves beziau]

>From a historical point of view  possibility is rather qualitative and
probability rather quantitative:
- possibility has been treated using some modal systems according to which
it is related with other "modalities*
a general setting being the square of  modalities improved as a hexagon, see
http://link.springer.com/article/10.1007/s11787-012-0046-9
- probability is  a number associated to a proposition computed  in
relation with numbers associated to other propositions.
but probability can also be treated logically, as initiated by Kolmogorov
for recent developments see
Probabilization of Logics: Completeness and Decidability
by Pedro Baltazar
http://link.springer.com/article/10.1007/s11787-013-0087-8
Jean-Yves Beziau

2013/10/3 Lotfi A. Zadeh <zadeh at eecs.berkeley.edu>

>
> How would you differentiate, mathematically, between the propositions,
> "It is possible that p," and "It is probable that p," where p is aproposition which may be d
> rawn from a natural language? This deceptively simple question touches
> upon the fundamental structure of the concepts of possibility and
> probability.
>
> Lotfi Zadeh
>
> --
> Lotfi A. Zadeh
> Professor Emeritus
> Director, Berkeley Initiative in Soft Computing (BISC)
>
> Address:
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