Re: Epistemology 201: The Science of Science

From: Albert (albertwagner_at_cox.net)
Date: 02/08/05 

Date: Mon, 07 Feb 2005 20:15:22 -0600

Tony Orlow (aeo6) wrote:
> 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?

Logic was not an invention of mathematics, but rather philosophy.
  Mathematics added a new twist to logic with the introduction of
probability logic. I was referring to classical logic. You are
referring to probability logic. FWIW, I totally agree with you
that "mathematics is the study of measurements and their relations." 

-- 
"Don't you see that the whole aim of Newspeak is to narrow the 
range of thought? In the end we shall make thoughtcrime literally 
impossible, because there will be no words in which to express it."
     -- George Orwell as Syme in "1984"

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