The logical constants, by contrast, have the same meaning in all interpretations.
2.
Logical constants, including logical connectives and logically implies another when it is logically incompatible with the negation of the other.
3.
In a " deviation ", the usual logical constants are used, but are given a different meaning than usual.
4.
Logical connectives along with quantifiers are the two main types of logical constants used in formal systems such as propositional logic and predicate logic.
5.
The second approach is to treat the equality relation symbol as a logical constant that must be interpreted by the real equality relation in any interpretation.
6.
Logical constants are always given the same meaning by every interpretation of the standard kind, so that only the meanings of the non-logical symbols are changed.
7.
For instance there are logical constants which do not refer to any idea, but rather serve as a form of punctuation in the language ( e . g . parentheses ).
8.
The connectives are usually taken to be logical constants, meaning that the meaning of the connectives is always the same, independent of what interpretations are given to the other symbols in a formula.
9.
In an " extension ", new and different logical constants are added, for instance the " \ Box " in modal logic, which stands for " necessarily . " In extensions of a logic,
10.
Many of these logical constants are sometimes denoted by alternate symbols ( " e . g . ", the use of the symbol " & " rather than "'" " to denote the logical and ).
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