Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

There are things like $x^2$ which mirror an area, which is something that exist in the real world. The same applies to $\pi$, to integers, and many other things.

Are there, on the other hand, things in math that do not represent anything in the real world?

PS: I am not saying numbers exist (or trying to enter into the discussion at all). I was saying mirror, represent a real thing.

share|improve this question

closed as not constructive by Javier Álvarez, Davide Giraudo, Seirios, Micah, Did Jan 31 '13 at 15:26

As it currently stands, this question is not a good fit for our Q&A format. We expect answers to be supported by facts, references, or expertise, but this question will likely solicit debate, arguments, polling, or extended discussion. If you feel that this question can be improved and possibly reopened, visit the help center for guidance.If this question can be reworded to fit the rules in the help center, please edit the question.

    
How about Aronszajn trees? –  L. F. Jan 31 '13 at 14:17
4  
Or about Klein Bottles? Also, complex numbers certainly aren't real. (bad pun.) –  anorton Jan 31 '13 at 14:19
    
The real line ? –  Learner Jan 31 '13 at 14:20
2  
Complex numbers are no more non-existent than real numbers or even natural numbers. :p –  Hurkyl Jan 31 '13 at 14:25
    
Actually, there is nothing in mathematics that truly exists in the "real world". The connection is entirely in our minds and its interpretation of the physical universe. Numbers, for instance, do not have any true existence in the material, just in how we interpret it. –  RBarryYoung Jan 31 '13 at 14:25