Winning Ways for your Mathematical Plays
Notes
Chapter 1, “Whose Game”
Chapter 2, “Finding the Correct Number is Simplicity Itself”
Chapter 3, “Some Harder Games and How to Make Them Easier”
Flashcards
2022-03-26
What is a game in which the second player to move wins called?
A zero game.
What does the notation
\[\\{L | R\\}\]
mean for the value of a game?
The left player has a move to a value of $L$, the right player has a move to a value of $R$.
What is the value of $\{ \vert \}$?
\[0\]
What is the value of $\{0 \vert \}$?
\[1\]
What is the value of $\{ \vert 0\}$?
\[-1\]
What is the value of $\{n \vert \}$?
\[n+1\]
What is the value of $\{ \vert n\}$?
\[-(n+1)\]
What is true about the following surreal number
\[X = \\{L | R\\}\]
$X$ is greater than all $L$ and less than all $R$.
What is the value of $\{0 \vert 1\}$?
\[\frac{1}{2}\]
What is the value of $\{-1 \vert 0\}$?
\[-\frac{1}{2}\]
What has to be true about
\[\\{L|R\\}\]
to make a surreal number?
Any number in $L$ is less than any number in $R$.