What are the philosophical implications of unsolvable mathematical
problems?
Does this mean that mathematical reality, hence physical reality, is
ultimately unknowable?
It's not clear to me that the root know is terribly useful here; IMHO
there is regularity and there is the random (whether
CMR wrote:
there is regularity and there is the random (whether it be absolute or
effectively so - both are equivalent from the receiving end); the mere
fact
that we are having this discussion indicates some level of regularity in
the
interaction; but there is randomness as well;
I do
This infamous "definition" is circunscribed to
a theory, as in "we say that a physical theory
has an EPR if,..."
Mathematical reality is not the output of
(mathematical) theories but usually its input.
But I think mathematical reality does not
necessary equate to mathematical truth,
nor does
Hal Finney
If, from a set of axioms and rules of inference, we can produce a
valid proof of a theorem, then the theorem is true, within that
axiomatic system.
I'd suggest that this notion of provability is analogous to the
reality of physics. Provable theorems are what we know, within
a
Hey all,
Nice to see some activity on this list again.
I think the filament's blown, but then again I'm a physicist :-)
Matt.
Norman Samish wrote:
Perhaps you've heard of Thompson's Lamp. This is an ideal lamp, capable of
infinite switching speed and using electricity that
]
To: [EMAIL PROTECTED]
Sent: Saturday, October 25, 2003 8:22 AM
Subject: Re: Is reality unknowable?
Hey all,
Nice to see some activity on this list again.
I think the filament's blown, but then again I'm a physicist :-)
Matt.
Norman Samish wrote:
Perhaps you've heard
It's also possible that the question, although seemingly made up of
ordinary English language words used in a logical way, is actually
incoherent.
If I say, proposition P is both true and false, that is a sentence made
up of English words, but it does not really make sense. I could then
demand
If, without in any way disturbing a system,
we can predict with certainty the value of
a physical quantity, there exists an element
of reality corresponding to this physical
quantity, wrote once EPR.
(Of course the strong term here is *predict*,
because prediction is based on something,
a theory,
,
even within Logic.
Kindest regards,
Stephen
- Original Message -
From: Hal Finney [EMAIL PROTECTED]
To: [EMAIL PROTECTED]; [EMAIL PROTECTED]
Sent: Saturday, October 25, 2003 11:51 AM
Subject: Re: Is reality unknowable?
It's also possible that the question, although seemingly made up
Scerir writes:
If, without in any way disturbing a system,
we can predict with certainty the value of
a physical quantity, there exists an element
of reality corresponding to this physical
quantity, wrote once EPR.
[...]
Is there a similar definition, in math?
If, from a set of axioms and
PROTECTED]
To: [EMAIL PROTECTED]; [EMAIL PROTECTED]
Sent: Saturday, October 25, 2003 11:51 AM
Subject: Re: Is reality unknowable?
It's also possible that the question, although seemingly made up of
ordinary English language words used in a logical way, is actually
incoherent.
If I say
Too many messages.
I cannot read them all.
Is there a user group where these things are more organized? Hope so, else I'll
have to block these messages.
This mailing list is archived at http://www.escribe.com/science/theory/,
as well as
Perhaps you've heard of Thompson's Lamp. This is an ideal lamp, capable of
infinite switching speed and using electricity that travels at infinite
speed. At time zero it is on. After one minute it is turned off. After
1/2 minute it is turned back on. After 1/4 minute it is turned off. And so
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