Re: 1 NF

Sampo Syreeni <decoy_at_iki.fi> wrote in news:Pine.SOL.4.62.0702282345390.15178_at_kruuna.helsinki.fi:

> On 2007-02-28, V.J. Kumar wrote:
>
>> Leaving aside arguably dubious utility of fuzzy logic, could you show
>> how fuzzy logic "can be handled on the latter, classical terms" ?
>
> As I understand it, fuzzy logic as a whole can be grounded in fuzzy
> set theory. That in case is founded in real membership functions in
> orthodox sets.

If "by real membership functions" you mean that the fuzzy membership is the same the classical membership, then you are wrong. What would be the point of such word play ?

>The theory of real functions, measures and the like is then
> formulated on top of normal ZFC axiomatics.

They cannot be so formulated, because the fuzzy set membership is different from the the classical set membership and reducible only in the trivial case of the fuzzy membership coinciding with the classical membership.

In light of the above, your subsequent statement, as well as the summary judgment, are incorrect.

Your turn ;) Received on Thu Mar 01 2007 - 01:06:06 CET