That's interesting. Gardner describes himself as a journalist interested in math and science, but specifically not a mathematician. It's interesting that he disagrees with two mathematicians on the question of what math is.

I find MG fantastic, but sometimes his articles and books lack depth. He is a wonderful writer and populariser, but I wonder whose side I would take if this were a real debate.

But it isn't. There's room for both opinions. I've never met Gardner and am now unlikely to do so, but I know a few people who know him fairly well. I'll ask their opinion when I get the chance.

Do you have a reference for that review?