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From: Lennart Nilsson <leonard.nilsson.domain.name.hidden>

Date: Mon, 16 Jun 2003 10:04:27 +0200

----- Original Message -----

From: "Lennart Nilsson" <leonard.nilsson.domain.name.hidden>

To: <avoid-l.domain.name.hidden>

Sent: Sunday, June 15, 2003 9:14 AM

Subject: Something for Platonists

*> Here is something from David Deutsch for Platonists to contemplate...I
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think

*>
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*> LN
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*>
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*>
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*>
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*> "We see around us a computable universe; that is to say, of all
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*>
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*> possible mathematical objects and relationships, only an in.nitesimal
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*> proportion
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*>
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*> are ever instantiated in the relationships of physical objects and
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physical

*>
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*> processes. (These are essentially the computable functions.) Now it might
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*>
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*> seem that one approach to explaining that amazing fact, is to say "the
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*> reason
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*>
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*> why physical processes conform to this very small part of mathematics,
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*>
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*> 'computable mathematics,' is that physical processes really are
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computations

*>
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*> running on a computer external to what we think of as physical reality."
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But

*>
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*> that relies on the assumption that the set of computable functions - the
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*>
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*> Turing computable functions, or the set of quantum computable operations
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*>
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*> - is somehow inherently privileged within mathematics. So that even a
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*> computer
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*>
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*> implemented in unknown physics (the supposed computer that we're
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*>
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*> all simulations on) would be expected to conform to those same notions of
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*>
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*> computability, to use those same functions that mathematics designates as
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*>
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*> computable. But in fact, the only thing that privileges the set of all
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*> computational
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*>
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*> operations that we see in nature, is that they are instantiated by
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*>
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*> the laws of physics. It is only through our knowledge of the physical
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world

*>
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*> that we know of the di.erence between computable and not computable. So
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*>
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*> it's only through our laws of physics that the nature of computation can
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be

*>
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*> understood. It can never be vice versa."
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*>
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*>
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Received on Mon Jun 16 2003 - 04:01:54 PDT

Date: Mon, 16 Jun 2003 10:04:27 +0200

----- Original Message -----

From: "Lennart Nilsson" <leonard.nilsson.domain.name.hidden>

To: <avoid-l.domain.name.hidden>

Sent: Sunday, June 15, 2003 9:14 AM

Subject: Something for Platonists

think

physical

computations

But

world

be

Received on Mon Jun 16 2003 - 04:01:54 PDT

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