From: Ian Goddard (igoddard@erols.com)
Date: Thu Apr 16 1998 - 01:21:50 MDT
Anton Sherwood (dasher@netcom.com) wrote:
>Ian Goddard wrote:
>> A list-member challenged the holistic-identity statement
>> X=X+~X (the identity of X includes ~X by relation) by
>> arguing that it does not allow us to predict facts
>> about nature, unlike the atomist identity state-
>> ment X=X. That argument is perfectly false
>>
>> and here is the proof...
>>
>> SCENARIO: There are two objects, A and B,
>> traveling in different directions;
>
>Relative to what?
IAN: Each other.
>> then the velocity of A is suddenly increased.
>
>Relative to what?
IAN: To B.
>> PROBLEM: Predict what happens to the velocity of B.
>
>Relative to what?
IAN: To A.
>Ian's argument assumes, without any justification, that the velocities
>of A and B are defined relative to each other. That's a valid
>definition, but it's far from the only possible definition. Both A and
>B have velocities relative to C, for example, which do *not* behave as
>Ian describes.
IAN: False. Relative motion is symmetrical,
be it between 2 or more objects.
>This isn't the first time Ian has tried to wow us by with a proof
>based on assumptions that were not in the statement of the problem.
IAN: Excuse me? You added C. Nothing
was missing from the stated example,
except what you decided to add.
>> The X=X atomist-identity theory predicts that the velocity
>> of B is not altered, since an identity attribute, X, of B
>> (of which velocity is one) is X free from not-X, X=X.
>
>Who says velocity is an element of identity?
IAN: Attributes of identity are what a thing
is, if A = 35mph, then 35mph is a feature of
the identity of A. Same goes for all relative
features: A is fast, A is good, A is warm,...
>> and difference is symmetrical,
>
>Once again Ian stands well-established usage on its head to get his way.
>A symmetric relation is one where R(A,B) implies R(B,A); for example, if
>I am taller than Ian, then Ian is taller than me.
IAN: Difference is symmetrical: if A is
shorter (-) than B, then B is taller (+)
than A. Note that (-)(+) implies symmetry.
So yes, I turned "well-established usage on
its head," because this "well-established"
asymmetry theory is simply false.
>> or net difference, always equals zero.
>
>(A-B) + (B-A) = 0, yes; so what?
IAN: That's the symmetry of difference
you just denied existed... good grief!
>> Identity conservation: http://www.erols.com/igoddard/matrix.htm
>
>This web page shows something of which I was not fully aware until now:
>Ian confuses the vernacular meaning of identity (a property of a thing)
>with the mathematical meaning (the relation between a thing and itself
>or between two equal things).
IAN: The matrix you just scoff off just showed
you is that the relation of A to A = 0. All the
identity attributes of A are derived from not-A.
So what you call "logical identity" exists not.
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