[EMAIL PROTECTED] wrote:
> Whoa laddie! Mathematics is not a code, and it is not based on  
> observation. Observations of the world might inspire a Mathematical  
> concept which wonts for proof, but do not factor into the proof itself.
> 
> Mathematics is the study of provable truth using logic, which  
> provides a structure for science (the aggregation of predictive  
> knowledge through hypothesis and observation) to work with, not the  
> reverse. Mathematics also provides a structure for the development of  
> codes.
> 
And yet, Godel tells us that you can only create logical systems that 
cannot be both complete and provable at the same time.

> What I think you are mistaking here is the expression of Mathematical  
> constructs. This is a language or possibly several languages, not a  
> code.
> 
> Godfrey
> 
> PS:
> ...
> PMDL == Pentax Mathematics Discussion List
> PPDL == Pentax Pun Discussion List
> ...
> 
> On Oct 27, 2006, at 5:01 AM, Paul Stenquist wrote:
> 
> 
>>... I'm frequently amused by the scientists and secular
>>humanists who describe what they think they see using a code they call
>>mathematics. Of course since that code is based on what they have
>>observed it fits this little circular universe perfectly. This of
>>course proves to the weak minded that what they observe is indeed  
>>real.
>>Doubt is the precursor to real knowledge. Arrogance is self defeating.
> 
> 
> 

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