The paradoxes are important in highlighting the ambiguities in our language.
The annoying aspect is when someone uses a paradox to show off how mathematically clever they are, instead of to show how ambiguous language is. As XKCD illustrates:
https://www.xkcd.com/169/
The annoying aspect is when someone uses a paradox to show off how mathematically clever they are, instead of to show how ambiguous language is. As XKCD illustrates: https://www.xkcd.com/169/