Re: Epistemology 201: The Science of Science
From: aeo6 (aeo6_at_cornell.edu)
Date: 02/07/05
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Date: Mon, 7 Feb 2005 18:16:53 -0500
Albert said:
> > Lester, I have to respectfully disagree with you on the relationship
> > between math and logic. As I said in a different post, mathematics is
> > the study of measurements and their relations. In the area of logic,
> > what is being measured is "truth", which varies between zero (100%
> > false) and 1 (100% true) as a probability.
>
> Probability is an invention of mathematics.
Uh, yes, we are talking about mathematics, I thought. Probability is a
measure of the calculated truth value of a statement based on its
premises and the logical operations applied to them. The very fact that
you say that probability is a product of mathematics, combined with
probability being a measure of logical truth, implies my very assertion,
that logic is a subset of mathematics, and not vice versa.
>
> > It seems obvious to me that
> > the study of one type of measurement is a subset of the study of
> > measurements in general. Disagree?
>
> Truth is not quantifiable.
If something is known to be absolutely true, it has a probability of 1,
and if false, then zero. If you say it has a 50/50 chance, that means
the truth value of that statement as calculated is 0.5. What do you not
get about the quatification of truth?
>
>
>
>
-- Tony
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