[Arisbe] Re: Inquiry Into Models
Jon Awbrey
arisbe@stderr.org
Fri, 24 Aug 2001 00:37:02 -0400
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Sungchul Ji wrote (SJ):
Jon Awbrey wrote (JA):
SJ: Dear Howard, I have been enjoying and learning a lot from your passionate
dialogue with Jon these several weeks, and I hope you will continue.
SJ: For now, I have a question for you. What is the essential difference,
if any, between the Hertz's and Rosen's theories of modeling? If they
are different in some essential ways, what was the influence, if any,
of Hertz's theory on Rosen's?
JA: Sorry to break in -- I am still behind in my homework on Rosen, so I promise that
I will quickly retire to the peanut gallery with respect to that side of the issue --
but there is a generic component of this question that I have worried about since
I first woke up one fine or fuzzy day in one of my old phil or phys or psy classes
and started to think seriously about causality, and since I have already tried to
air my worries about this several times in this forum already, I feel entitled to
keep on pestering folks about it until I arrive at a measure of satisfaction.
JA: Let me express it, this time around, in the form of a very old question:
JA: "Does not the effect imply its causes?"
SJ: My naive answer would be:
SJ: If Y is the effect of X, then one can say that X causes Y,
according to the common usages of terms, 'effect' and 'cause'
in English language.
SJ: Apparently there are many theories about "cause",
"causation", or "causality", including regularity
(or nomological) analysis, counterfactual analysis,
manipulation analysis, and the probabilistic analysis.
Probably all of these and more apply to the meaning
of "causal entailment" that Rosen's modeling diagram
refers to, but the regularity theory of causation may
cover most of what Rosen meant by causality.
JA: But maybe I can try to rephrase my question better this way:
JA: Let Prop(A) be the proposition that event A has happened.
And suppose that all of the appurtenant circumstances are
appropriate for it to be true that event C causes event E.
JA: Then let me essay to ask my question this way:
Using your common sense understanding or your
own favorite definition of "cause and effect",
would you call the following a true statement?
JA: 1. Prop(E) => Prop(C).
JA: Paraphrasing:
JA: 1. If it is true that the effect has happened
then it is true that the cause has happened.
JA: Would you say that Proposition 1 is true, or
would you say that Proposition 1 is false?
SJ: My answer to this question would depend on the specific
nature of the cause (C) and the effects (E) involved.
In general, it seems to me that Prop(E) => Prop(C)
would be true only if C is the necessary and
sufficient condition for E and not otherwise.
Now then, when you speak, in general, of the possibility
that "C is the necessary and sufficient condition for E",
do you mean "necessary and sufficient casual condition" or
do you mean "necessary and sufficient logical condition"?
Jon Awbrey
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