Definition:Language of Propositional Logic/Alphabet/Sign/Bracket

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Definition

The signs of the language of propositional logic include the brackets:

\(\displaystyle \bullet \ \ \) \(\displaystyle (\) \(:\) \(\displaystyle \)the left bracket sign\(\)
\(\displaystyle \bullet \ \ \) \(\displaystyle )\) \(:\) \(\displaystyle \)the right bracket sign\(\)


These are used as parenthesis signs.


Also defined as

Some sources use square brackets: $[$ and $]$ instead of the round brackets $($ and $)$. No doubt there are sources which use a different shape. The choice is arbitrary.

Some treatments of propositional logic do not specify brackets at all, having constructed the rules of formation to make them unnecessary.


Sources