You're describing anisogamy. Large males are sexually selected for in elephant seals because they can fight off other males, but small males are sexually selected for in spiders for they can mate with the female quickly while avoiding being eaten.
Going a step further I found this: >Depending on the group, different mating types are often referred to by numbers, letters, or simply "+" and "−" instead of "male" and "female", which refer to "sexes" or differences in size between gametes. https://en.m.wikipedia.org/wiki/Mating_type
So it does seem to be a strict definition and anything outside of the strict definition is given an alternate identification scheme.
All individuals of this snake are female (presumably 'female' here is defined relative to other snakes) and reproduce parthenogenetically (sic?). By your definition, these wouldn't have a sex at all, presumably.
Biology is messy, the boundaries are messy, the words we use are merely for our own benefit to simplify a messy and complex reality.
Your abstraction ignores all the sterile men and women too, by the way. That's because it is a particularly bad one.
You're the one who wrote:
> Mammals on the other hand have males that impregnate the females.
We're all saying "that's not a very useful definition".
"Common definition"? I don't think so. If it was my post-menopausal wife would now be a man
I very much doubt that common-sense folks "assum[e] that words accurately and unambiguously carve up reality" either. Is it likely that a grown-up has never had a discussion about whether something was blue or green, or whether something is a fruit or vegetable?
I didn't say it was a good definition :)
In fact, the very point you're making here is also commonly brought up whenever someone uses this common definition to try to argue against trans issues, which is how I know it's commonly used.
I rather hopped that me saying "birds would be all be male" would be a hint that I didn't hold this definition in high regard.
> whether something is a fruit or vegetable?
Tom-ah-to, to-may-to, but either way I really need to figure out how to use it in a fruit salad.
Sure, almost everyone has had such an argument; but I've noticed many tend to say "it's common sense" and stop listening from then on.
No, it is just a consequence of complex reality butting up against a "common sense" (including the quote marks) derived from incorrectly assuming that words accurately and unambiguously carve up reality.
If biologists instead used a different common definition such as "female == able to get pregnant, otherwise male" then birds would be all be male, and seahorses wouldn't be associated with the sentence "weird biology fact: the males get pregnant!"
See also: "There's no such thing as a fish", and "how many moons does the Earth have?"