Roger Penrose, in ([Reference](http://www.amazon.com/The-Road-Reality-Complete-Universe/dp/0679776311)), section 16.7 (*size of infinity in physics*) writes:

"...*It is perhaps remarkable, in view of the close relationship between mathematics and physics, that issues of such basic importance in mathematics as transfinite set theory and computability have as yet had a very limited impact on our description of the physical world. It is my own personal opinion that we shall find that computability issue will eventually be found to to have a deep relevance to future physical theory, but very little use of these ideas has so far been made in mathematical physics*". 

I personally think that  concept of time my be described better using objects in set theory: today we use real numbers as  mathematical model for describing time, but maybe (some time!) physicist use a more complicated order, like object we deal with them in set theory and other branches of mathematical logic, as a more accurate model for time. But, of course its only an imagination!...