I think it'd kind of defeat the argument of the article to say that those two types of intuition about the sun, and of philosophers, are separate. And besides, before experiment the motion of the sun was pondered by philosophers - and there's some arguments that say the boundaries of philosophy are set by what slips out of theory into experiment!
> I think it'd kind of defeat the argument of the article to say that those two types of intuition about the sun, and of philosophers, are separate.
That's ok, I don't think it's a good argument. It's based on redefining the word "intuition" to mean something else, e.g. "5+7=12" is an intuition according to the article's definition.