Ask HN: is the number of interesting (mathematical) concepts infinite?

I have often heard about the possible infinity of the mathematical universe, but what about the universe of abstract thoughts (or let's say, mathematics)?

Do you think there is an infinite number of mathematical ideas out there (in the platonic universe of ideas)? Clearly the amount of possible mathematical constructs is infinite, but how many are really interesting?

I suppose at the moment it can only be a matter of opinions, as it is hard to give a proper definition of "interesting". Would be interested in links to articles that deal with the problem of defining interesting.