Ordinals are often also called ordinal numbers. Both ordinal and cardinal numbers are very much generalisation of natural numbers to a more general concept of n

Ordinals are often also called ordinal numbers. Both ordinal and cardinal numbers are very much generalisation of natural numbers to a more general concept of number, depending on if you see counting sizes of sets or denoting position (e.g. first, second, etc.) as the fundamental thing numbers do. Of course there are also other notions of number that focus on other aspects (e.g. number fields). But I think it's definitely not wrong to call all of these things numbers. So it seems weird to me to object to the form of the question, it is perfectly fine as it is. If the question was "is infinity an odd or even natural number?", then of course you'd be right. All of these things are also stuff one could discuss with a 6 year old (i.e. tell them that there are multiple notions of numbers that focus on different aspects, and that the question has a different (probably interesting) answer in each of these different contexts). Insisting that infinity is not a number seems like a less interesting way to talk about this, without even being necessarily more rigorous. Edit: See also [0], linked in the second answer [0]: https://math.stackexchange.com/a/36298 https://math.stackexchange.com/a/36298