:up: Always the same - that is, always different from each other. 'Finite' has two diphthongs, and 'infinite' has none; also the stress on 'finite' is on the first syllable, and the stress on 'infinite' is similarly on the first, so the two syllables *fi*- and -*nite* are as different as they could possibly be! Sometimes I've heard people preserving symmetry by saying 'finite and non-finite' - though 'non-finite' and 'infinite' have different meanings so perhaps they're talking about something else (I'm not a mathematician) ;-)

b

Thanks for your reply BobK. The idea of saying 'finite and non-finite' seems interesting. In all mathematical contexts I can remember 'non-finite' and 'infinite' mean the very same thing.

I have just observed 'non-finite' is used in English grammar (non-finite verb).

This concept is new to me, I had never seen this nomenclature before. I'll have to study it soon.

Next questions:

Are there other contexts to use 'non-finite' other than grammar and math?

Is 'non-finite' a complete synonym for 'infinite' in mathematics?

For linguistis and linguistics lovers: I know the word 'unfinite' does not exist, but somehow it keeps trying to enter this discussion.