>>13628428The ? that has that property is provably not a real.
Compare with the complex numbers, where you get a new non-real number i with
property i^2 = -1, also clearly not a real number.
In fact, if you order the complex numbers lexicographically so that
a + ib < c + id if and only if (a < c or [a = c & b < d]),
then the imaginary number i becomes infinitesimal in this ordering. That is
maybe the simplest example.