Iverson Brackets

🅟 Apr 02, 2026

  🅤 Apr 02, 2026

DEF-IVB. Iverson Brackets.

If $\varphi$ is a statement, we define

\[[\varphi] = \begin{cases} 1, & \text{if $\varphi$ is true}; \\ 0, & \text{if $\varphi$ is false}, \end{cases}\]

where the meaning of $1$ and $0$ should be clear in the given context.

See Also.