races exist, and yet there are no racial characteristics that are unique to one specific race.
there are Asians with African shaped noses and lips. there are Africans with blond hair.
there are Asians with white skin...and Europeans with black/brown eyes.
I don't see how any of those statements are relevant, as a given character could be characteristically shaped for several species, which differ in other characters. Your statements could easily be rewritten to :
There are populations in both Asia and Africa with noses of shape X and lips of shape Y
There are populations in both Africa and Europe with blond hair
There are populations in both Asia and Europe with white skin
There are populations both without and within Europe with black/brown eyes.
This could just mean that
e.g., blond hair had evolved twice, which does not necessarily mean that the mutations behind that evolutionary step is homologous. For instance, blond hair in the African population could be due to a failure to produce a certain pigment, whereas that in European populations could be due to a failure to transport these pigments from their origin cells to the hair follicles.
No single character needs to be unique for something to be "permissible" as a new taxon, regardless of what that taxon is. It could as easily be a combination of characters, and this is indeed often the case. In your examples, the Asian population could be characterized by having X-shaped noses and Y-shaped lips, but also white skin. This combination is unique in the framework you have provided, even though none of the involved characters, on its own, are.
There is also no requirement that a taxon is defined by one character or a set of characters that are easy to see, or that they are non-overlapping. It might be that group X is separable from group Y mainly on geography, but also by the fact that the radius of the ulna in X is 59-63 mm, whereas that of group Y is 62-67, meaning that individuals measures in the home region of group X show a tendency to have more slender ulnas, whereas those from group Y's home region are more sturdy. Skin colour, hair colour, eye colour, and so on could be identical between the two groups, and -- depending on what group of organisms we are looking at -- this difference in ulna thickness and geographic range could still be sufficient to describe the two as two different taxa, even on the rank of species in some cases.
If you look at skin colour, you draw the line in one place, at hair, in another, at the shape of the eyes, in another, etc.
Which suggests that there is a real problem with the concept of distinct races.
Or that the characters used are not very useful, because the underlying difference is in other characters, such as skull shape or something.
By this twisted definition of species every human that can no longer reproduce becomes a new species.
That is a curious way of misunderstanding biological terminology. A population is not a snapshot, because then every breeding season would yield new species. If we say that the Corsican population of X has a longer beak than the mainland population, we do not mean it as a fashion statement -- "Beaks are long this year in Corsica, and it seems the bell-bottoms are back at last!" -- but as a character that is constant over a period of time which is at least equal to the average life span of a small number of generations.
Similarly, Soapy Sam's group does not collapse into smaller groups once one or more individuals cease to be able to reproduce, because he/she has been (1) actively reproducing with other members of the group prior to this change. To drive your objection to its logical, but inane, extreme, I am my own species because I am not actively interbreeding with anyone
as I type this message. Over the next few years, I hope to be, however, and hopefully with something of my own species. Thus, I am (hopefully still...) actually viable with the human population in my surroundings.
So which race do these kids with their "easily recognizable characteristics" belong in?
Link to image.
How can you expect anyone to be able to tell from just a photo, and one of two juveniles at that?
Note also that Perpetual Student claimed that
populations have "very distinct and easily recognizable characteristic". This does not imply that these characteristics are as clearly expressed in all individuals within these populations.
You have, in essence, given him/her a sample of two individuals, collected in an era where these characteristics are being blurred because of breeding across population lines for several generations, and expect him/her to accurately place them within a framework of populational averages, based on a small subset of characters taken from two juveniles which may or may not express the characteristics of the adults correctly. It can be very hard to distinguish species of different families based on such a strange sample, let alone some sub-subspecific variation within the same species. In short, you are being outrageously unfair, and try to characterize this as some sort of rhetorical point.
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(1) Assuming the group does not include social recluses.