I don't understand what you're trying to say. You seem to agree about what a species means. So that's not controversial. That's all it takes for interbreeding to be theoretically possible. But if interbreeding is practically impossible because of geographical separation, that's what divides a species into separate populations.
There are issues of confidence and induction at play here. So, let's take the color of the dog's fur as an example. Whether it's one or many allele's that determine fur color, I will simply refer to it as the "fur color allele" (FCA).
Within dog specimen A, FCA is located at position X in the DNA sequence. When we check specimen B, we again look in location X. But location X is not determined by counting
exactly 1352647 positions down the chain. It's based on finding the gene starting sequence (TCG or whatever it is). Even then, the FCA in specimen B won't necessarily be the
exact same sequence as it was in specimen A. There will likely be some variation.
So do we test the FCA in every specimen to absolutely confirm it really is the FCA, or do we conclude it is the FCA based on some confidence level of location and sequence? Let me know if I got something wrong there, but we're taking a sequence from an
organism and projecting that onto a measure for the
population based on some confidence level. Right? I'm not saying that's bad science, but you and I both know how tricky that can be. It's not as easy as it sounds when you read about it in a textbook.
Further, we're making inductive conclusions about what that population is. I'll sample this organism because, based on morphology, it looks like a dog. My specific example tells me this particular DNA sequence produces this morphology, so I'll extrapolate that to all similar morphologies in this geographic area. Or, if not that, I doubt I'm forcing all organisms in the population to mate to prove absolutely they fit the definition of species. And there are probably other inductions as well. Again, not bad science, but not guaranteed protection against misleading results either.
That's what my comment referred to.
Just because you haven't mentioned it doesn't mean that mutations haven't entered the scenario by being past events that may have an effect on future outcomes.
True, but it is improper to assume a cause until the conditions of the problem are given. Even if science has only found one cause for a given result, it is improper to assume that cause until the conditions are stated. Maybe it's just a technicality, but it's an important one for this conversation.
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... Ben Franklin is still waiting for the storm.