# 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 $R$.