View example sentences and word forms for Surreals.
Surreals meaning
plural of surreal
Example sentences (7)
Axiomatic approach In another approach to the surreals, given by Alling, citation explicit construction is bypassed altogether.
Every other ordered field can be embedded in the surreals.
Finally, he developed the multiplication operator, and proved that the surreals are actually a field, and that it includes both the reals and ordinals.
Instead, a set of axioms is given that any particular approach to the surreals must satisfy.
The class of games is more general than the surreals, and has a simpler definition, but lacks some of the nicer properties of surreal numbers.
Thus the real numbers are also embedded within the surreals.
Unlike Conway's realization of the surreal numbers, however, the sign-expansion requires a prior construction of the ordinals, while in Conway's realization, the ordinals are constructed as particular cases of surreals.