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Article #7356

Re: LOGIC IN EINSTEIN ZOMBIE WORLD

#7356
From: Pentcho Valev
Date: Tue, 07 Aug 2007 06:26
69 lines
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On 24 July, 11:35, Pentcho Valev <pva...@yahoo.com> wrote in
sci.physics.relativity:

> Let us discuss logic then, in particular logic of physics.
> Remember Kant's reaction to Hume's scepticism: physical propositions
> must have the same certainty as mathematical propositions. Consider
> two mathematical propositions:
>
> A) (a - b) = b(c - d) ; b is different from 0
>
> B) If a=b, then c=d and vice versa
>
> Obviously, B follows from A (but A does not follow from B - compare
> with Einstein's fallacy of affirming the consequent in Appendix 1 in
> his "Relativity"). The conditional A->B is non-truth-functional (see
> Wittgenstein's Tractatus 5.122). Then what is the adequate truth-
> table? Consider the case A=false (e.g. a, b, c and d are connected by
> some other equation) and B=true. A->B should be "False" in this case
> since the probability of A=false and B=true is virtually zero.
> Accordingly, the adequate truth-table of the conditional A->B is
>
> A B A->B
> T T  T
> F T  F
> T F  F
> F F  T
>
> (Note that this is not a biconditional although the truth-table is the
> same). So must be the truth-table of any PHYSICAL conditional whereas
> Wittgenstein's truth-table
>
> A B A->B
> T T  T
> F T  T
> T F  F
> F F  T
>
> should be rejected when one deals with PHYSICAL conditionals. Do you
> agree?

One day, when Clausius-Einstein zombie science will have to be
analized logically, the validity of the following conditionals and the
truth of their antecedents will have to be verified first:

1. Clausius: If heat never goes spontaneously from cold to hot, then
all reversible machines working between the same two temperatures have
the same efficiency.

2. Clausius: If any irreversible process can be closed by a reversible
process to become a cycle, then entropy always increases.

3. Einstein http://www.fourmilab.ch/etexts/einstein/specrel/www/
If "...light is always propagated in empty space with a definite
velocity c which is independent of the state of motion of the emitting
body", then "If at the points A and B of K there are stationary clocks
which, viewed in the stationary system, are synchronous; and if the
clock at A is moved with the velocity v along the line AB to B, then
on its arrival at B the two clocks no longer synchronize, but the
clock moved from A to B lags behind the other which has remained at B
by tv^2/2c^2 (up to magnitudes of fourth and higher order), t being
the time occupied in the journey from A to B."

4. Einstein: If "...light is always propagated in empty space with a
definite velocity c which is independent of the state of motion of the
emitting body", then, in the presence of a gravitational field, the
gravitational redshift factor is 1+V/c^2, where V is the gravitational
potential.

Pentcho Valev
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From:  Pentcho Valev <pvalev@yahoo.com>
Newsgroups: sci.physics.relativity,sci.physics,fr.sci.philo,fr.sci.physique,sci.logic
Subject: Re: LOGIC IN EINSTEIN ZOMBIE WORLD
Date: Mon, 06 Aug 2007 23:26:50 -0700
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