The universe of numbers built from two sets — ordinals, reals, infinitesimals, and ω, all in one field
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Arithmetic
Enter surreal numbers (integers or fractions)
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Construction rule: {L|R} is the simplest number greater than all of L and less than all of R. Day 0: {|} = 0. Day 1: {0|} = 1, {|0} = −1. Day 2: {1|} = 2, {0|1} = 1/2... Every real number and every ordinal lives here.
Click nodes to inspect • Colors indicate generation day