Mathematics can be used to model the real world, but this does not imply that mathematical objects are “real” in any ontological sense. Conversely, real world intuition is very useful for thinking about mathematical concepts, but this again does not directly impact whether one should view concepts as “real” or not.

As long as one maintains the map-territory distinction between a real-world system, and a mathematical model of that system, I find that one’s philosophical interpretation of mathematical concepts makes very little practical difference in doing mathematics.

]]>*[Corrected, thanks – T.]*

*[Corrected, thanks – T.]*

http://plato.stanford.edu/entries/fictionalism-mathematics/

By the way, the mathematics on this blog is light-years beyond my comprehension… :)

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