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Logical constant, the Glossary

In logic, a logical constant or constant symbol of a language \mathcal is a symbol that has the same semantic value under every interpretation of \mathcal.^[1]

27 relations: Bertrand Russell, Converse relation, Equality (mathematics), Existential quantification, False (logic), Formal language, Formal system, Gottlob Frege, Interpretation (logic), Logic, Logical conjunction, Logical connective, Logical disjunction, Material conditional, Negation, Non-logical symbol, Philosophy of logic, Primitive notion, Quantifier (logic), Relation (mathematics), Rudolf Carnap, Semantics of logic, Symbol (formal), The Journal of Philosophy, The Principles of Mathematics, Truth value, Universal quantification.
Constants
Logic symbols
Logical truth
Syntax (logic)

Bertrand Russell

Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, logician, philosopher, and public intellectual.

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Converse relation

In mathematics, the converse of a binary relation is the relation that occurs when the order of the elements is switched in the relation.

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In mathematics, equality is a relationship between two quantities or, more generally, two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

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Existential quantification

In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least one", or "for some". Logical constant and existential quantification are logic symbols.

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False (logic)

In logic, false or untrue is the state of possessing negative truth value and is a nullary logical connective.

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Formal language

In logic, mathematics, computer science, and linguistics, a formal language consists of words whose letters are taken from an alphabet and are well-formed according to a specific set of rules called a formal grammar.

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Formal system

A formal system is an abstract structure and formalization of an axiomatic system used for inferring theorems from axioms by a set of inference rules. Logical constant and formal system are Syntax (logic).

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Gottlob Frege

Friedrich Ludwig Gottlob Frege (8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician.

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Interpretation (logic)

An interpretation is an assignment of meaning to the symbols of a formal language.

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Logic

Logic is the study of correct reasoning.

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Logical conjunction

In logic, mathematics and linguistics, and (\wedge) is the truth-functional operator of conjunction or logical conjunction.

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Logical connective

In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a logical constant. Logical constant and logical connective are logic symbols.

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Logical disjunction

In logic, disjunction, also known as logical disjunction or logical or or logical addition or inclusive disjunction, is a logical connective typically notated as \lor and read aloud as "or".

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Material conditional

The material conditional (also known as material implication) is an operation commonly used in logic.

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Negation

In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition P to another proposition "not P", standing for "P is not true", written \neg P, \mathord P or \overline.

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Non-logical symbol

In logic, the formal languages used to create expressions consist of symbols, which can be broadly divided into constants and variables. Logical constant and Non-logical symbol are logic symbols.

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Philosophy of logic

Philosophy of logic is the area of philosophy that studies the scope and nature of logic.

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Primitive notion

In mathematics, logic, philosophy, and formal systems, a primitive notion is a concept that is not defined in terms of previously-defined concepts. Logical constant and primitive notion are concepts in logic.

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Quantifier (logic)

In logic, a quantifier is an operator that specifies how many individuals in the domain of discourse satisfy an open formula. Logical constant and quantifier (logic) are Philosophical logic.

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Relation (mathematics)

In mathematics, a relation on a set may, or may not, hold between two given members of the set.

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Rudolf Carnap

Rudolf Carnap (18 May 1891 – 14 September 1970) was a German-language philosopher who was active in Europe before 1935 and in the United States thereafter.

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Semantics of logic

In logic, the semantics of logic or formal semantics is the study of the semantics, or interpretations, of formal languages and (idealizations of) natural languages usually trying to capture the pre-theoretic notion of logical consequence.

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Symbol (formal)

A logical symbol is a fundamental concept in logic, tokens of which may be marks or a configuration of marks which form a particular pattern. Logical constant and symbol (formal) are concepts in logic, logic symbols and Syntax (logic).

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The Journal of Philosophy

The Journal of Philosophy is a monthly peer-reviewed academic journal on philosophy, founded in 1904 at Columbia University.

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The Principles of Mathematics

The Principles of Mathematics (PoM) is a 1903 book by Bertrand Russell, in which the author presented his famous paradox and argued his thesis that mathematics and logic are identical.

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Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values (true or false). Logical constant and truth value are concepts in logic and logical truth.

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Universal quantification

In mathematical logic, a universal quantification is a type of quantifier, a logical constant which is interpreted as "given any", "for all", or "for any". Logical constant and universal quantification are logic symbols.

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References

[1] https://en.wikipedia.org/wiki/Logical_constant

Also known as Constant (logic), Constant symbol, Logical constants.