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20 relations: Accessibility relation, Alvin Plantinga, Clarence Irving Lewis, Cooper Harold Langford, Equivalence relation, Kripke semantics, Logic, Modal logic, Modus ponens, Normal modal logic, NP-completeness, Ontological argument, Philosophy, Possible world, Propositional calculus, Reflexive relation, Substitution (logic), Symmetric relation, Tautology (logic), Transitive relation.
Accessibility relation
In modal logic, an accessibility relation R is a binary relation such that R \subseteq W \times W where W is a set of possible worlds.
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Alvin Plantinga
Alvin Carl Plantinga (born November 15, 1932) is a prominent American analytic philosopher who works primarily in the fields of logic, justification, philosophy of religion, and epistemology.
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Clarence Irving Lewis
Clarence Irving Lewis (April 12, 1883 – February 3, 1964), usually cited as C. I. Lewis, was an American academic philosopher and the founder of conceptual pragmatism.
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Cooper Harold Langford
Cooper Harold Langford (25 August 1895, Dublin, Logan County, Arkansas – 28 August 1964) was an analytic philosopher and mathematical logician who co-authored the book Symbolic Logic (1932) with C. I. Lewis.
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Equivalence relation
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.
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Kripke semantics
Kripke semantics (also known as relational semantics or frame semantics, and often confused with possible world semantics) is a formal semantics for non-classical logic systems created in the late 1950s and early 1960s by Saul Kripke and André Joyal.
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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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Modal logic
Modal logic is a type of formal logic primarily developed in the 1960s that extends classical propositional and predicate logic to include operators expressing modality.
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Modus ponens
In propositional logic, modus ponens (MP; also modus ponendo ponens (Latin for "mode that affirms by affirming") or implication elimination) is a rule of inference.
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Normal modal logic
In logic, a normal modal logic is a set L of modal formulas such that L contains.
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NP-completeness
In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.
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Ontological argument
An ontological argument is a philosophical argument for the existence of God that uses ontology.
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Philosophy
Philosophy (from Greek φιλοσοφία, philosophia, literally "love of wisdom") is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language.
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Possible world
In philosophy and logic, the concept of a possible world is used to express modal claims.
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Propositional calculus
Propositional calculus is a branch of logic.
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Reflexive relation
In mathematics, a binary relation R over a set X is reflexive if every element of X is related to itself.
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Substitution (logic)
Substitution is a fundamental concept in logic.
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Symmetric relation
In mathematics and other areas, a binary relation R over a set X is symmetric if it holds for all a and b in X that a is related to b if and only if b is related to a. In mathematical notation, this is: Symmetry, along with reflexivity and transitivity, are the three defining properties of an equivalence relation.
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Tautology (logic)
In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation.
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Transitive relation
In mathematics, a binary relation over a set is transitive if whenever an element is related to an element and is related to an element then is also related to.
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