Re: How much intelligence?

On Thu, 16 Mar 2006 15:08:57 -0500, Tony Orlow <aeo6@xxxxxxxxxxx> in
comp.ai.philosophy wrote:

Just Playing said:

Lester Zick wrote:

[. . .]

My interpretation of Lester's differences and differences between differences
is quantitative and related to differentials as measures of change. The
differences are somehow quantifiable. Lester, does that sound right? If so, any
quantity greater than 0 indicates a difference.

Now, contradiction is another matter. If a proposition has a truth value of 0,
then it is false, and that may be because of the truth values of its arguments,
or it may be because it contains a contradiction. If a proposition is always
false regardless of the values of its arguments, then it contains a
contradiction. In my previous post, I mentioned probabilistic forms of logic,
where the law of the excluded middle does not necessarily hold, if the
interpretation of false is "equal to 0". However, in this scheme, a value less
than 1/2 may be considered false, and a value greater than 1/2 may be
considered to be true. So, a contradiction is a proposition that is false, in
whichever sense one is using, regardless of the arguments to the proposition.

So, I don't really see this as a matter of the number or types of arguments.
Difference is indicated by a nonzero measure between things, and contradiction
is indicated by a zero, or false, value associated with a proposition
independent of the argument values. Contradiction is a property of a logical
statement, and difference is more general. In fact, difference corresponds to
truth, re=ather than contradiction, in this sense. Thoughts?

Tony, let me address this problem of differences versus contradiction.

Is "blue" "red"? Is "blue" different from "red"? I think we would both
agree "blue" is different from "red" But does "blue" contradict "red"?

Is a "car" a "truck"? Is a "car" different from a "truck"? I think we
would both agree a "car" is different from a "truck". But does a "car"
contradict a "truck"?

Now my take on "difference" versus "contradiction" is that each denies
the other. In other words "red" is "not" "blue" and a "car" is "not" a
"truck".So in this sense there is a contradiction in the form of "not"
between "red" and "blue" as well as between a "car" and a "truck"
because each denies the other.

Now I also understand the sense in which you use "contradiction" as a
logical contradiction within a concept.And there is no "contradiction"
within "red" or "blue" or a "car" or a "truck" in this sense. However
there is a contradiction between "red" and "blue" on the one hand as
well as between a "car" and a "truck" because each denies the other.

On the other hand there is no contradiction between "red" and "truck"
since neither denies the other and we can have a "red truck" or "blue
car". So the only problem we really have here is figuring out how all
these pieces fit together. And the only way we have to fit them all
together is by means of the differences or forms of contradiction
between them vis-a-vis each and every other piece of reality.

~v~~

.

Relevant Pages

  • Re: How much intelligence?
    ... Lester Zick wrote: ... Now, contradiction is another matter. ... If a proposition has a truth value of 0, ... For all your talk of precise mechanics of truth, ...
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  • Re: How much intelligence?
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  • Re: How much intelligence?
    ... Lester Zick wrote: ... Now, contradiction is another matter. ... If a proposition has a truth value of 0, ... analysis through further tautological regression to determine. ...
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  • Re: How much intelligence?
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  • Re: How much intelligence?
    ... Lester Zick wrote: ... Now, contradiction is another matter. ... but my approach to subjective mechanics is based on the demonstrable ... analysis through further tautological regression to determine. ...
    (comp.ai.philosophy)