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Logical Constant




In Symbolic Logic , a logical constant is a Symbol that has the same Semantic Value in all Model s. Two important types of logical constants are Logical Connective s and Quantifier s. 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
\lnot "not"
\land "and"
\lor "or"
ightarrow "implies", "if...then"
orall "for all"
\exists "there exists", "for some"
= "equals"
\Box "necessary"
\Diamond "possible"


One of the fundamental questions in the Philosophy Of Logic is "What is a logical constant?"; that is, what special feature of certain Constant s that makes them ''logical'' in nature?


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