Re: Reigniting Probability theory debate
Date: Wed, 11 Apr 2012 14:19:59 -0700 (PDT)
Message-ID: <8324d857-9ba1-4c33-a592-e3be1e9e5a08_at_h10g2000pbi.googlegroups.com>
On Apr 10, 2:04 pm, Tegiri Nenashi <tegirinena..._at_gmail.com> wrote:
> Several years ago there was a lively discussion here on c.d.t about
> parallels between PT and RT. Most people defended the analogy, while
> some refused to accept it. Here is my take:
>
> http://cstheory.stackexchange.com/questions/10873/is-analogy-between-...
>
> Looking forward for your input.
OK, here is the exact reference:
http://groups.google.com/group/comp.databases.theory/browse_thread/thread/43c2fe29a7ad0658/f930301f4f29af0f?q=probability&lnk=nl&
The debate started after Keith asserted that "Probability theory as a
generalization of logic is useful". Which logic? Propositional
calculus? Unlike Val I wouldn't challenge that assertion.
Propositional Logic is essentially Boolean Algebra which is rather
simplistic algebraic structure, known to be friendly to
generalizations (e.g. algebra of binary relations). Introductory
chapter of Jone's textbook focused on Propositional calculus and is
very convincing that it can be generalized to Calculus of
Probabilities. However, step up to Predicate Calculus, and it is not
at all evident that there is any connection to Probability Theory.
Received on Wed Apr 11 2012 - 23:19:59 CEST