[Inquiry] Re: Logic Of Relatives -- Commentary

[Jon Awbrey]

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LOR.  Commentary Note 3

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The quantifier mapping from terms to their numbers that Peirce signifies
by means of the square bracket notation has one of its principal uses in
providing a basis for the computation of frequencies, probabilities, and
all of the other statistical measures that can be constructed from these,
and thus in affording what may be called a "principle of correspondence"
between probability theory and its limiting case in the forms of logic.

This brings us once again to the relativity of contingency and necessity,
as one way of approaching necessity is through the avenue of probability,
describing necessity as a probability of 1, but the whole apparatus of
probability theory only figures in if it is cast against the backdrop
of probability space axioms, the reference class of distributions,
and the sample space that we cannot help but to abdeuce upon the
scene of observations.  Aye, there's the snake eyes.  And with
them we can see that there is always an irreducible quantum
of facticity to all our necessities.  More plainly spoken,
it takes a fairly complex conceptual infrastructure just
to begin speaking of probabilities, and this setting
can only be set up by means of abductive, fallible,
hypothetical, and inherently risky mental acts.

Pragmatic thinking is the logic of abduction, which is just another
way of saying that it addresses the question:  "What may be hoped?"
We have to face the possibility that it may be just as impossible
to speak of "absolute identity" with any hope of making practical
philosophical sense as it is to speak of "absolute simultaneity"
with any hope of making operational physical sense.

Jon Awbrey

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