Woo hoo! Chat about infinity with a student who "hates maths" led to reasoned arguments and giggling at concepts, YES 😎
@_thegeoff my favourite bit of pub maths is "I can prove that one infinity can be bigger than another".
@bencurthoys Countable V uncountable? We touched on that, and will revisit it. Also need to do Hilbert's Hotel.
This can quickly lead to questions about how many different ones are there (infinitely many) and which infinity is that (mu; larger than any), which sadly is a hard-to-resolve confusion.
I would expect that sometimes someone can get discouraged when an obvious follow-up question has an answer that cannot be understood without additional, weird concepts (that you can have a bunch of objects that is too numerous to be a set).
But if they don't, then I agree. :)
@robryk @bencurthoys Who cares, as long as it gets somebody who has become bored by high school maths (which, to be fair, can be quite dry "learning the basic tools") to re-engage with the subject ;)