# Fuzzy Logic of Mental Models LO29462

From: AM de Lange (amdelange@postino.up.ac.za)
Date: 11/05/02

Dear Organlearners,

Dan Chay < chay@alaska.com > writes:

>Responding to Mental models and the 7Es LO29398
(snipping a long and thoughtful contribution)
>Does a fuzzy logic model of thinking about mental models
>make any sense to any of you or add to the dialogue at all?

Greetings dear Dan,

I do think that there are some Mental Models (MMs) in which
FORMAL fuzzy logic is used. Fuzzy logic is not based on a
distinction between "true" and "false" but on fractions of "true"
between "true" and "false". In fuzzy logic LEM (Law of Excluded
Middle) has been shifted far into the back ground.

All logical systems is based on a set of "beings" called axioms and a
set of "becomings" called inference rules. By linking these axioms
and inference rules new complexer "beings" called theorems and
inference rules caled derivers are formed.

Mathematicians follow a logical system which begins with a simple
( ;-) system which they call propositional logic. This is then
complexified into first order logic, fuzzy logic, multivalued logic,
etc. There are some properties (like consistency) which they expect
from their logical system.

I think that that every Mental Model has its own "flavour" of logic,
i.e. a set of "beings" and a set of "becomings" how to deal with
them. One "flavour" may very well be propositional logic while
another "flavour" may be fuzzy logic. But i think that it is the many
"flavours" together which makes the logic among Mental Models
so fuzzy, but not which makes it fuzzy logic itself. Its like in a
down-town market-bazaar where all kinds of food are prepared
and sold. The smell is intense, but fuzzy. You know you smell food,
but you do not know what food you smell.

>Grins,

Smelled it?

With care and best wishes

```--
At de Lange <amdelange@postino.up.ac.za>
Snailmail:    A M de Lange
Gold Fields Computer Centre
Faculty of Science - University of Pretoria
Pretoria 0001 - Rep of South Africa
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