Elements of this set are de ned as equivalence classes of forms, which consist of two subsets of this set7            enclosed in curly braces and separated by a pipe.
The construction of this set begins by constructing the integers, and then the dyadic rationals, and then the reals (including the non-dyadic rationals). In Von Neumann-Bernays-Gödel set theory, this set is the largest possible ordered  eld, of which every other ordered  eld is a sub eld. Elements of this set are de ned as equivalence classes of forms, which consist of two subsets of this set7            enclosed in curly braces and separated by a pipe. It's not the hyperreals, but this set contains positive elements smaller than any   real number, the simplest of which is denoted by epsilon. For ten points, identify this extension of the real numbers developed by John Horton Conway.
The construction of this set begins by constructing the integers, and then the dyadic rationals, and then the reals (including the non-dyadic rationals).
surreal numbers