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From: CMR <jackogreen.domain.name.hidden>

Date: Tue, 20 Jan 2004 22:07:52 -0800

*> Think of it this way, what is the cardinality of the equivalence class
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*> of representations R of, say, a 1972 Jaguar XKE, varying over *all
*

possible

*> languages* and *symbol systems*? I think it is at least equal to the
*

Reals.

*> Is this correct? If R has more than one member, how can we coherently
*

argue

*> that "information is physical" in the material monist sense?
*

*>
*

Assuming you mean R is countably infinite(?), then a solution would be a

finite universe of underlying discrete structure, ala Fredkin, I imagine.

*>
*

*> What if the "informing" and "constraining" (?) is done, inter alia,
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by

*> the systems that "use up" the universal resources?
*

*>
*

*> What if, instead of thinking in terms of a priori existing solutions,
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*> ala Platonia, if we entertain the idea that the *solutions are being
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*> computation in an ongoing way* and that what we experience is just one (of
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*> many)stream(s) of this computation. Such a computation would require
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*> potentially infinite "physical resources"...
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*> Would it be to much to assume that all we need to assume is that the
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*> "resources" (for Qcomputations, these are Hilbert space dimensions) are
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all

*> that we have to assume exists a priori? Does not Quantum Mechanics already
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*> have such build in?
*

Yes, this would indeed follow. But what of a view of QM itself emerging form

qubits?

as, for instance, expressed in the so-called Bekenstein bound: the entropy

of any region

of space cannot exceed a fixed constant times the surface area of the

region. This suggests

that the complete state space of any spatially finite quantum system is

finite, so

that it would contain only a finite number of independent qubits.

Received on Wed Jan 21 2004 - 01:10:40 PST

Date: Tue, 20 Jan 2004 22:07:52 -0800

possible

Reals.

argue

Assuming you mean R is countably infinite(?), then a solution would be a

finite universe of underlying discrete structure, ala Fredkin, I imagine.

by

all

Yes, this would indeed follow. But what of a view of QM itself emerging form

qubits?

as, for instance, expressed in the so-called Bekenstein bound: the entropy

of any region

of space cannot exceed a fixed constant times the surface area of the

region. This suggests

that the complete state space of any spatially finite quantum system is

finite, so

that it would contain only a finite number of independent qubits.

Received on Wed Jan 21 2004 - 01:10:40 PST

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