Logical constant
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In symbolic logic, a logical constant is a symbol that has the same semantic value in all models. Two important types of logical constants are logical connectives and quantifiers. The equality predicate (usually written '=') is also treated as a logical constant in many systems of logic.
Some symbols that are commonly treated as logical constants are:
Symbol | Corresponding English |
---|---|
"not" | |
"and" | |
"or" | |
"implies", "if...then" | |
"for all" | |
"there exists", "for some" | |
= | "equals" |
"necessary" | |
"possible" |
One of the fundamental questions in the philosophy of logic is "What is a logical constant?"; that is, what special feature of certain constants that makes them logical in nature?