Re: Extramathematical Notions and the Continuum Hypothesis

Re: Gary Fuhrman
At: http://permalink.gmane.org/gmane.science.philosophy.peirce/9505

GF: I'm not sure if this is related or not, but Peirce has a lot to say about
     the difference between a fact and an event (with respect to causality) in
     Kaina Stoicheia, EP2:315, http://www.gnusystems.ca/KainaStoicheia.htm

GF, quoting CSP:
     "Mill's singularity is that he speaks of the cause of a singular event.
     Everybody else speaks of the cause of a “fact”, which is an element of
     the event."

Gary,

Outside of statistical contexts I'm sure we all use the words “event”
and “occurrence” interchangeably, but here I would guess that Peirce
feels compelled to pre-dictate the adjective “singular” to “event”
to express what contemporary textbooks would call an “occurrence”,
that is, a single element of the sample space.

When he says that a fact is an “element” of a singular event or occurrence x,
I think he is using “element” in the intensional sense, in effect saying that
a fact is a predicate or property of the singular occurrence x.  At any rate,
that would comport with current usage.  But I would have to read more of the
context of the above excerpt to make a better guess.

Another thing that may be a part of the mix here is the shorthand labels
of Case, Fact, Rule that are used in analyzing the syllogistic models of
Abduction, Deduction, Induction, and Analogy.

Regards,

Jon

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