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#*Extensive biological diversity existed before humans had the ability to create new forms by molecular recombination.
 
#*Extensive biological diversity existed before humans had the ability to create new forms by molecular recombination.
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Counter- The argument concerning rate of change assumes that biological evolution is described by a linear equation.  However, observation and Mendellian genetics theory suggest that evolutionary change is better described by a rational function bounded by an assymptote.  For example, it is relatively easy to crossbreed a pure bred dog so that you obtain a mutt or a nearly pure bred dog of another species.  However, it will take an infinite amount of time to entirely replace the traits of the original breed with those of the new breed- the graph of evolutionary change, with change on the y-axis and time on the x-axis, has reached a horizontal assymptote.  The dog remains a dog.
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#*'''Counter:''' The argument concerning rate of change assumes that biological evolution is described by a linear equation.  However, observation and Mendellian genetics theory suggest that evolutionary change is better described by a rational function bounded by an assymptote.  For example, it is relatively easy to crossbreed a pure bred dog so that you obtain a mutt or a nearly pure bred dog of another breed.  However, it will take an infinite amount of time to entirely replace the traits of the original breed with those of the new breed- the graph of evolutionary change, with change on the y-axis and time on the x-axis, has reached a horizontal assymptote.  The dog remains a dog.
 
-Chris J
 
-Chris J
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::: Um, what? I'm a bit of a mathy person and have some background in genetics as well, and the above doesn't seem to be anything but an assertion dressed up in mathematical terminology. [[User:JoshuaZ|JoshuaZ]] 14:06, 13 February 2007 (EST)
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#**'''Counter:'''Um, what? I'm a bit of a mathy person and have some background in genetics as well, and the above doesn't seem to be anything but an assertion dressed up in mathematical terminology. [[User:JoshuaZ|JoshuaZ]] 14:06, 13 February 2007 (EST)
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#**'''Counter:'''If a DNA molecule was of infinate length this argument would stand.  Since DNA has a finite length it is entirely possible to remove all 'Mutt' genes from a heredetory family of dogs with selective breeding over time.  Because of recombinant DNA and meisis crossover it makes it unlikely to occur - but not impossible.  Joshua Z is correct, the maths is wrong.

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