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0 (zero)

In the surreal number system, the very first number zero is defined as

0 = { | }

 


Explanation

You may also write it as 0 = {Ø | Ø}, where Ø is an empty set. According to the definition, x = {0 | 0} does not represent a valid number.

 


History

British mathematician John Conway discovered the surreal numbers in 1969.


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