Science > Physics > Is there a real concept of Consistency or is it more like a Default Zone
| Topic: |
Science > Physics |
| User: |
"Archimedes Plutonium" |
| Date: |
10 Feb 2005 02:31:13 AM |
| Object: |
Is there a real concept of Consistency or is it more like a Default Zone |
Wed, 09 Feb 2005 16:14:58 -0600 Archimedes Plutonium wrote:
(snip all talk of sports games)
This thread brings up an interesting Theoretical Challenge to logic and
mathematics in the concept of Consistency and that of Default Mode. Computers
are programmed to have a default. But logical and mathematical systems are
probed for Consistency. But here is a chance to consider that Default-Mode is
related to Consistency and perhaps the concept of Consistency, such as whether
the Peano Axioms are consistent begs of the question as to what is the Default
Mode of the Peano Axioms.
So I think I have opened up a new concept for Mathematics and Logic of that of
Default Mode and how it relates to Axiomatic systems.
Come to think of it those in Physics seldom worry whether one branch of physics
is consistent with another branch. In physics, unlike mathematics there are
experiments that constantly warn people when ideas are wrong and false.
So I wonder if the concept of Consistency is a valid concept or whether it is an
illusionary fake. Much like the idea of an aether is just an illusion of the
mind.
Mathematicians constantly worry about whether one axiom contradicts another axiom
or whether some theorem contradicts another theorem.
But in physics of Quantum Mechanics is full of seeming contradiction.
Mathematicians would never have discovered QM because one part contradicts
another part such as quantum tunnelling.
So I wonder, I wonder whether Consistency is a valid concept in the first place.
I can raise this question now because I have something that can replace the
concept of Consistency with another concept-- that of Default Zone.
What I mean by Default Zone is a computer program. And when a search down to a
computer's foundation we have its Default.
In mathematics, when we test for consistency we end up with its axioms. So the
axioms are the default-zone of mathematics. The axioms are the software itself.
And we can never say that a computer program is Inconsistent for it operates on
how that program was built.
So I have two negative charges against the concept of Consistency in mathematics.
The first charge is that physics is larger than mathematics and has mathematics
as a subset of physics. So if mathematics is contained inside of physics then it
is pitifully dumb to say that mathematics must be Consistent when physics is
inconsistent due to Quantum Mechanical strangeness. And the second charge is that
a Default Mechanism appears to work better than a Consistency Mechanism.
More later....
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom where dots
of the electron-dot-cloud are galaxies
.
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| User: "Jim Spriggs" |
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| Title: Re: Is there a real concept of Consistency or is it more like a Default |
10 Feb 2005 04:16:55 PM |
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Archimedes Plutonium wrote:
But in physics of Quantum Mechanics is full of seeming contradiction.
If this is true it is not the concern of mathematicians.
So I have two negative charges against the concept of Consistency in mathematics.
A "negative charge against" is presumably a charge in favour.
The first charge is that physics is larger than mathematics and has mathematics
as a subset of physics.
Mathematics is not a subset of physics (if we can even make sense of
that claim). Physicists _use_ bits of mathematics (as do green
grocers).
More later....
Oh please no.
.
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