> As if a circle is a real thing. (Circles do not exist, either - or, rather, they ‘exist’ in a very particular sense of the word, as they are themselves abstr

> As if a circle is a real thing. (Circles do not exist, either - or, rather, they ‘exist’ in a very particular sense of the word, as they are themselves abstractions; round things do.) Well, yes, exactly. The thing that intrigues me about this discussion is that it seems like mathematicians have a much clearer idea than I do about what the differences between these kinds of abstractions are.