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: "Purpose" is the intent of the designer.  An example of something without purpose is a mutation.  I'm not into the terminology that you are using, so I'm not sure that I can answer your third request.  I guess that the "sample space" might be "life".  Without design (hence without purpose), mutations will occur randomly, and randomness only produces noise, not [[information]].  Information is non-uniform, whereas noise is statistically uniform.  These sentences have non-random arrangements of letters, and the number of uses of each letter is therefore different ("E" occurs much more frequently than others, for example).  If the letters were random, you'd expect all 26 letters to have about the same number of occurrences.  Non-randomness/information requires design.  Life is non-random.  Life contains information (DNA).  Therfore, life was designed.
 
: "Purpose" is the intent of the designer.  An example of something without purpose is a mutation.  I'm not into the terminology that you are using, so I'm not sure that I can answer your third request.  I guess that the "sample space" might be "life".  Without design (hence without purpose), mutations will occur randomly, and randomness only produces noise, not [[information]].  Information is non-uniform, whereas noise is statistically uniform.  These sentences have non-random arrangements of letters, and the number of uses of each letter is therefore different ("E" occurs much more frequently than others, for example).  If the letters were random, you'd expect all 26 letters to have about the same number of occurrences.  Non-randomness/information requires design.  Life is non-random.  Life contains information (DNA).  Therfore, life was designed.
 
:[[User:Philip J. Rayment|Philip J. Rayment]] 07:24, 18 December 2007 (EST)
 
:[[User:Philip J. Rayment|Philip J. Rayment]] 07:24, 18 December 2007 (EST)
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You have to make up your mind if you define "desgin" by it origins or its structure. If you use the definition of design from structure  to identify design, you cannot change to the definition of design from origin to show that it there must be a designer. That is just playing with two definitions of the word design. Nobody argues with the fact that life exhibits structure. Under that definition life exhibits design. Call it ''apparent design'' if it makes you happier.
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Indeed mutations do occur random. Do you know how selection works? Not-random. And together it is still not random. There is more to evolution than genetic drift.
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So the challenge remains to give me one single example of something without purpose, and how that lack of purpose implies randomness. An example of something without purpose, would for example be a stone rolling down a hill, set in motion by say rainfall. If you tell me why that is random in the sense that it produces a uniform distribution over a sample space, and that the lack of intent was instrumental to produce the uniform distribution, it would be greatly appreciated. [[User:Order|Order]] 20:34, 18 December 2007 (EST)
    
===Interpretations===
 
===Interpretations===
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