Re: Contradiction. Was: Probability

From: Brent Meeker <meekerdb.domain.name.hidden>
Date: Fri, 07 Nov 2008 16:01:52 -0800

A. Wolf wrote:
>> But not a logical contradiction. It would just contradict our assumed
>> model of physics, i.e. a nomological contradiction.
>>
>
> I realize I can't give a concrete example from physics due to the lack of
> total human understanding, so it is difficult to get across the exact point.
> If we presume that our understanding of the relationship between space and
> time is correct, then it would be a contradiction to observe true FTL
> transmission of information, because that would cause paradoxes
> (contradictions) in the structure of the universe itself.
>
>
>> It does unless there are some axioms and rules of inference such that
>> adding the thing I envision allows one to infer a contradiction. That's
>> why I was asking about the model - does it have axioms and rules of
>> inference?
>>
>
> All models of mathematics have axioms, but only those (I postulate) which
> are non self-contradictory "exist". A universe that includes a model of
> naive set theory cannot exist, for one example, because it is
> self-contradictory. A universe that contains an elementary model capable of
> describing the ideas of naive set theory can exist, though.
>
> Anna
>
So universes that consisted just of lists of (state_i)(state_i+1)...
would exist, where a state might or might not have an implicate time value.

Brent

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Received on Fri Nov 07 2008 - 19:02:05 PST

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