Real equivalent of the surreal number {0.5|} I've been reading up on Surreal numbers, but have some questions.
Some equivalent real and surreal numbers.
2.5 =
    {2|3} =
    {{{0|}|}|{{{0|}|}|}} =
    {{{{{|}}|{}}|{}}|{{{{{|}}|{}}|{}}|{}}}

0 =
    {-1|1} = {-2|1} = {-2,-1|1} =
    {{|0}|{0|}} = {{|{|0}},{|0}|{0|}} =
    {{{}|{{|}}}|{{{|}}|{}}}

-3/8 = {-0.5|-0.25} = {{-1|0}|{{-1|0}|0}}
    {{{{}|{{|}}}|{{{}|{{|}}}|{{|}}}}|{{{}|{{|}}}|{{|}}}}

What about the real number for {0.5|}?

Consider the games, which happen to be numbers, $G = \{ 0\,|\,\}$ and $H = \{ 0.5\,|\,\}$.
$G = 1$, directly from the simplicity rules. You know that $H = 1$, but that is not a direct implication. What you can do is show that $G \leq H \leq G$.
$H \leq G$, because $0.5$ is the only Left option of $H$, there are no Right options in $G$ and $0.5 < G = 1$.
$G \leq H$, because $0$ is the only Left option of $G$, there are no Right options in $H$ and $0 < H$. The last inequality, $0 < H$, is true because in the game $H$, Left wins no matter who starts, and this means the game is positive.
Now it is clear that $\{ 0\,|\,\} = \{ 0.5\,|\,\} =  1$. I hope that it helps you understanding why Polichinelle's answer is correct.
