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:::: Ok, for starters, you refer "observation and Mendellian genetics theory suggest that evolutionary change is better described by a rational function bounded by an assymptote" - it isn't clear what your relevant vairable is that is being bounded. Continuing, your next sentence claims that "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." I'm not even sure what to make of this sentence since dog breeds aren't separate species. You furthermore assert that "it will take an infinite amount of time to entirely replace the traits of the original breed with those of the new breed" if anything this is what one might have thought before Mendel. Since alleles come in discrete entities and one does not have genetic continua, this is false. Not only is it false, it is irrelevant, since whether we are able to breed something to be identical to some pre-existing similar organism is irrelevant. Your summary remarks that "The dog remains a dog" and your rephrase that "observation tells us that it will never sprout wings and become a bird" are simply assertions and not very relevant ones anyways(evolution wouldn't expect a dog to "sprout wings" although there are excellent examples of transitionals between true flyers and others). The terminology is so vague as to make it unclear exactly you mean that a dog will always remain a dog. Do you mean there will be never be a reproductive barrier? Do you mean that it will fit what your intuitive notion of what a dog looks like?. (Also, while we are on the topic of defintions, you use both "species" in a non-standard way, and use "kind" in a way that isn't even standard for creationists. If you are going to use terms in a non-standard fashion, defining them would be good). [[User:JoshuaZ|JoshuaZ]] 14:40, 13 February 2007 (EST)
 
:::: Ok, for starters, you refer "observation and Mendellian genetics theory suggest that evolutionary change is better described by a rational function bounded by an assymptote" - it isn't clear what your relevant vairable is that is being bounded. Continuing, your next sentence claims that "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." I'm not even sure what to make of this sentence since dog breeds aren't separate species. You furthermore assert that "it will take an infinite amount of time to entirely replace the traits of the original breed with those of the new breed" if anything this is what one might have thought before Mendel. Since alleles come in discrete entities and one does not have genetic continua, this is false. Not only is it false, it is irrelevant, since whether we are able to breed something to be identical to some pre-existing similar organism is irrelevant. Your summary remarks that "The dog remains a dog" and your rephrase that "observation tells us that it will never sprout wings and become a bird" are simply assertions and not very relevant ones anyways(evolution wouldn't expect a dog to "sprout wings" although there are excellent examples of transitionals between true flyers and others). The terminology is so vague as to make it unclear exactly you mean that a dog will always remain a dog. Do you mean there will be never be a reproductive barrier? Do you mean that it will fit what your intuitive notion of what a dog looks like?. (Also, while we are on the topic of defintions, you use both "species" in a non-standard way, and use "kind" in a way that isn't even standard for creationists. If you are going to use terms in a non-standard fashion, defining them would be good). [[User:JoshuaZ|JoshuaZ]] 14:40, 13 February 2007 (EST)
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I specified that evolutionary change is the dependent variable, or Y-value, bounded by a horizontal assymptote, with time as the independent variable, or X-value.  Your second remark is entirely correct- I misused the word "species" when I meant to refer only to changes between breeds.  Observation has shown that some dominant genetic traits tend to be passed on to an organism's offspring, but alleles place boundaries on the change that can occur through this process.  It is true that it is difficult to quantify evolutionary change, since it does not appear to progress in any certain direction- another challenge to the above argument concerning the progress of evolutionary change over time.  I chose a rational graph with the dependent variable bounded by a horizontal assymptote as an illustration because the aforementioned argument seemed to assume that evolutionary change could be expressed with respect to time or reproductive cycles by a linear graph.  I chose the example of cross breeding because it is an example of the reproductive cycle being manipulated to produce maximum evolutionary change. The natural rate of change would be much slower, if indeed there were any measurable change.  My statements about a dog "remaining a dog" and not changing species were meant only as examples of the genetic limitations of evolutionary change through natural reproduction, which is generaly limited by species, though somtimes by more inclusive levels of biological classification.
 
#*'''Counter:''' Despite a century of teaching evolution in American schools, the majority of Americans still reject it.  The burden of proof is on the evolutionists, and the proof just isn't there.  Darwinists would be better off looking for another theory to try to replace Christianity.--[[User:Aschlafly|Aschlafly]] 23:54, 21 December 2006 (EST)
 
#*'''Counter:''' Despite a century of teaching evolution in American schools, the majority of Americans still reject it.  The burden of proof is on the evolutionists, and the proof just isn't there.  Darwinists would be better off looking for another theory to try to replace Christianity.--[[User:Aschlafly|Aschlafly]] 23:54, 21 December 2006 (EST)
  

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