[Sharlin]

Infinities (transfinite cardinals) in the sense used by the article are absolutely objects. We’re not talking about infinite sums or other sequences and their limits. (And limits aren’t really “processes” either – the limit of the sequence 0.9, 0.99, 0.999, … is exactly 1, as a well-known example which nonetheless is controversial among people who don’t know what limits are.)

[random_ta]

Sure, if you accept reifying concepts into objects as valid. But that is a gateway to misery.

[Sharlin]

What's the difference? How is the concept of a transfinite cardinal less of an object than, say, the concept of a set? Or a real number? All are well enough defined that you can do useful math with them, and that's really all that matters.

[revskill]

Object in OOP ?

[Sharlin]

Mathematical objects, like numbers, sets, matrices, functions, …