LOGIC IN EINSTEIN ZOMBIE WORLD

http://www.perimeterinstitute.ca/en/...al_Relativity/
"Albert Einstein had a powerful imagination and was famous for
"thought experiments": if "A" is true and "B" is true, then a bit of
careful thought reveals that "C" must also be true, where "C" often
turned out to be some amazing, deep new insight into the hidden "gears
and wheels" at work in our universe."

A la Orwell:

"Big Brother had a powerful imagination and was famous for "thought
experiments": if "A" is true and "B" is true, then a bit of careful
thought reveals that "2+2=5" must also be true, where "2+2=5" often
turned out to be some amazing, deep new insight into the hidden "gears
and wheels" at work in our universe."

http://www.online-literature.com/orwell/1984/ George Orwell "1984":
"In the end the Party would announce that two and two made five, and
you would have to believe it. It was inevitable that they should make
that claim sooner or later: the logic of their position demanded it.
Not merely the validity of experience, but the very existence of
external reality, was tacitly denied by their philosophy. The heresy
of heresies was common sense. And what was terrifying was not that
they would kill you for thinking otherwise, but that they might be
right. For, after all, how do we know that two and two make four? Or
that the force of gravity works? Or that the past is unchangeable? If
both the past and the external world exist only in the mind, and if
the mind itself is controllable what then?"

Pentcho Valev

herbzet wrote:
Oh, great. We weren't already drowning in horse**** here in sci.logic.

Pentcho: "People should understand that making a posting 'on topic'
for sci.logic requires more than prepending 'the logic of ...'
to the subject line" (Thanks, KR.)

OK. 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?

Pentcho Valev

"Pentcho Valev" wrote in message
ups.com...
:
http://www.perimeterinstitute.ca/en/...al_Relativity/
: "Albert Einstein had a powerful imagination and was famous for
: "thought experiments": if "A" is true and "B" is true, then a bit of
: careful thought reveals that "C" must also be true, where "C" often
: turned out to be some amazing, deep new insight into the hidden "gears
: and wheels" at work in our universe."
:
: A la Orwell:
:
: "Big Brother had a powerful imagination and was famous for "thought
: experiments": if "A" is true and "B" is true, then a bit of careful
: thought reveals that "2+2=5"


That's not quite right.
It's "half of 20 is 16, the other half is 4."

Proof:
Let x' = 32
Let c = 5
Let v = 3

"It is clear" "in agreement with experience" "we then must have"
t1 = x'/(c-v) = 32/(5-3) = 16
t2 = x'/(c+v) = 32 /(5+3) = 4

http://www.fourmilab.ch/etexts/einst...ures/img22.gif

Hence 1/2(16+4) = 16, the other half is 4.
That's the real thought experiment.

On Jul 24, 11:05 am, Pentcho Valev wrote:
http://www.perimeterinstitute.ca/en/...r_Universe/Ess...
"Albert Einstein had a powerful imagination and was famous for
"thought experiments": if "A" is true and "B" is true, then a bit of
careful thought reveals that "C" must also be true, where "C" often
turned out to be some amazing, deep new insight into the hidden "gears
and wheels" at work in our universe."

A la Orwell:

"Big Brother had a powerful imagination and was famous for "thought
experiments": if "A" is true and "B" is true, then a bit of careful
thought reveals that "2+2=5" must also be true, where "2+2=5" often
turned out to be some amazing, deep new insight into the hidden "gears
and wheels" at work in our universe."

http://www.online-literature.com/orwell/1984/George Orwell "1984":
"In the end the Party would announce that two and two made five, and
you would have to believe it. It was inevitable that they should make
that claim sooner or later: the logic of their position demanded it.
Not merely the validity of experience, but the very existence of
external reality, was tacitly denied by their philosophy. The heresy
of heresies was common sense. And what was terrifying was not that
they would kill you for thinking otherwise, but that they might be
right. For, after all, how do we know that two and two make four? Or
that the force of gravity works? Or that the past is unchangeable? If
both the past and the external world exist only in the mind, and if
the mind itself is controllable what then?"

Pentcho Valev

A real thought experiment for Einstein wallahs.

There is a planet where the humans have no ocular organs ie are blind
in our our parlance. Clearly, trhey are no able to devel;ope any
theory of light too. But sound does exist for them.

Suppose speed of sound replaces speed of light. How will the Special
relativity look??

Recall

Boyh sound and light travel in waves.

Speed of both is independent of the source thereof.

Speed of both in the carrying medium is constant.

In fact when developing relativity, Eistein borrowed from sound.

Next posit that speed of sound is the maximum achieveable any any
particle.

elativity equations would still be valid!!

On Jul 24, 2:05 pm, Pentcho Valev wrote:
http://www.perimeterinstitute.ca/en/...r_Universe/Ess...
"Albert Einstein had a powerful imagination and was famous for
"thought experiments": if "A" is true and "B" is true, then a bit of
careful thought reveals that "C" must also be true, where "C" often
turned out to be some amazing, deep new insight into the hidden "gears
and wheels" at work in our universe."

A la Orwell:

"Big Brother had a powerful imagination and was famous for "thought
experiments": if "A" is true and "B" is true, then a bit of careful
thought reveals that "2+2=5" must also be true, where "2+2=5" often
turned out to be some amazing, deep new insight into the hidden "gears
and wheels" at work in our universe."

http://www.online-literature.com/orwell/1984/George Orwell "1984":
"In the end the Party would announce that two and two made five, and
you would have to believe it. It was inevitable that they should make
that claim sooner or later: the logic of their position demanded it.
Not merely the validity of experience, but the very existence of
external reality, was tacitly denied by their philosophy. The heresy
of heresies was common sense. And what was terrifying was not that
they would kill you for thinking otherwise, but that they might be
right. For, after all, how do we know that two and two make four? Or
that the force of gravity works? Or that the past is unchangeable? If
both the past and the external world exist only in the mind, and if
the mind itself is controllable what then?"

Pentcho Valev