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Free logic

Index Free logic

A free logic is a logic with fewer existential presuppositions than classical logic. [1]

17 relations: Axiom, Bertrand Russell, Classical logic, Domain of discourse, Empty domain, Existential clause, First-order logic, Jaakko Hintikka, Karel Lambert, List of logic symbols, Logic, Square of opposition, Structure (mathematical logic), Term (logic), Theory of descriptions, Wesley C. Salmon, Willard Van Orman Quine.

Axiom

An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

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Bertrand Russell

Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic, political activist, and Nobel laureate.

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Classical logic

Classical logic (or standard logic) is an intensively studied and widely used class of formal logics.

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Domain of discourse

In the formal sciences, the domain of discourse, also called the universe of discourse, universal set, or simply universe, is the set of entities over which certain variables of interest in some formal treatment may range.

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Empty domain

In first-order logic the empty domain is the empty set having no members.

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Existential clause

An existential clause is a clause that refers to the existence or presence of something.

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First-order logic

First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.

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Jaakko Hintikka

Kaarlo Jaakko Juhani Hintikka (12 January 1929 – 12 August 2015) was a Finnish philosopher and logician.

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Karel Lambert

Karel Lambert (born 1928) is a philosopher and logician at the University of California, Irvine and the University of Salzburg.

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List of logic symbols

In logic, a set of symbols is commonly used to express logical representation.

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Square of opposition

The square of opposition is a diagram representing the relations between the four basic categorical propositions.

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Structure (mathematical logic)

In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations that are defined on it.

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Term (logic)

In analogy to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact, in mathematical logic, a term denotes a mathematical object and a formula denotes a mathematical fact.

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Theory of descriptions

The theory of descriptions is the philosopher Bertrand Russell's most significant contribution to the philosophy of language.

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Wesley C. Salmon

Wesley C. Salmon (August 9, 1925 – April 22, 2001) was an American philosopher of science renowned for his work on the nature of scientific explanation.

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Willard Van Orman Quine

Willard Van Orman Quine (known to intimates as "Van"; June 25, 1908 – December 25, 2000) was an American philosopher and logician in the analytic tradition, recognized as "one of the most influential philosophers of the twentieth century." From 1930 until his death 70 years later, Quine was continually affiliated with Harvard University in one way or another, first as a student, then as a professor of philosophy and a teacher of logic and set theory, and finally as a professor emeritus who published or revised several books in retirement.

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Redirects here:

Inclusive logic, Problem of existential import.

References

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

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