Re: Programming is the Engineering Discipline of the Science that is Mathematics

Keith H Duggar wrote:

> Probability theory as a generalization of logic is useful

PT cannot be 'a generalization of logic' because PT 'connectives' (+/*) are not truth functional.

> because in addition to the logically valid modus ponens and
> modus tollens, it also gives a foundation for applying the
> weak syllogisms

It does not -- see above.

> which in the limiting case of logic are
> treated as fallacies (affirming the consequent and denying
> the antecedent).
>
> So ... perhaps conditional probability theory is the
> foundation of all :-)
>
> -- Keith --
Received on Thu Jun 08 2006 - 15:40:13 CDT