The answer that says "Here is a simple example that has some hope of being comprehensible to a 6-year-old." and then begins "Consider the ring of polynomial functions with integer coefficients, ..." gets upvoted tens of times.
Even the answer that uses "numerocity", "refined cardinality", and "logarithm" as the explanation to a 6-year-old gets upvoted.
The answer, https://math.stackexchange.com/a/49065/13638, that says as the answer-to-a-6-year-old the same thing that several commenters have actually posted here (e.g. https://news.ycombinator.com/item?id=35790064 for one of many), on Hacker News in just the past hour or so, and that explains in terms that a 6-year-old has at least a chance of having encountered, gets 5 votes in 12 years and the submitter is banned from the site.
The answer is using big words but the concept is simple. Like talking about fractions as a quotient ring over a field.
A six year old can absolutely grasp that even means "being able to be split into two equally sized piles" where equally sized means each thing in the left pile can be matched to something in the right. 6 apples is even because you can split them into 3 and 3.
Then for infinity you separate them into the even and odd numbers, boom. Infinity is even.
Saying "infinity isn't a number", to me, is so much worse an answer because it's not satisfying. Because both you and the 6 year old know that isn't right. The 6 year old is grasping at a bigger concept but doesn't have the words.
The answer that says "Here is a simple example that has some hope of being comprehensible to a 6-year-old." and then begins "Consider the ring of polynomial functions with integer coefficients, ..." gets upvoted tens of times.
Even the answer that uses "numerocity", "refined cardinality", and "logarithm" as the explanation to a 6-year-old gets upvoted.
The answer, https://math.stackexchange.com/a/49065/13638, that says as the answer-to-a-6-year-old the same thing that several commenters have actually posted here (e.g. https://news.ycombinator.com/item?id=35790064 for one of many), on Hacker News in just the past hour or so, and that explains in terms that a 6-year-old has at least a chance of having encountered, gets 5 votes in 12 years and the submitter is banned from the site.