2 ms·

I also don't think it's obvious [1], but that it could seem obvious from the way some mathematics (ahem, calculus) is taught to students. [1] My first question

I also don't think it's obvious [1], but that it could seem obvious from the way some mathematics (ahem, calculus) is taught to students. [1] My first question will be whether your "circle" is of cardinality of R or of N... Edit: Actually, my question would rather be whether you allow countable or arbitrary union.

rocqua 7y ago
The statement included the word 'finitely many' thus excluding even countable union. At which point, the cardinality of the circle stops mattering I think. And at any rate, just... come on, we are obviously talking about a disk of radius r > 0 in the plane of real numbers using the euclidean metric.