Technically, you are correct. The lack of a better gender/number free possessive is a problem for those who like to sound precise and correct. I usually avoid the problem by using a plura subject to begin with: People who set their goals high..........
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English 1b3Is it now standard to do so as it is so pervasiveIt has been standard to do so for centuries! The respected author Jane Austen uses they and their and them in that way all over the place in her novels, written about 200 years ago. And many other respected writers have done the same throughout the history of English.
English 1b3When one sets their goals high they must take the task at hand seriously in order to achieve them.This sentence is horrible. If one starts out using "one" then one should continue using "one", in my opinion. (In an older style, authors also switched from "one" to "he", but this is now uncommon.)
PhilipThe lack of a better gender/number free possessive is a problem for those who like to sound precise and correct.Can someone please explain this to me? I