propositional operator
1Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …
2Propositional formula — In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional… …
3Implicational propositional calculus — In mathematical logic, the implicational propositional calculus is a version of classical (two valued) propositional calculus which uses only one connective, called implication or conditional. In formulas, this binary operation is indicated by… …
4Leibniz operator — One of the cornerstone concepts in the theory of abstract algebraic logic is that of the Leibniz operator.MotivationThe Leibniz operator was introduced by Willem Blok and Don Pigozzi, two of the founders of the field, as a means to abstract the… …
5Modal operator — In modal logic, a modal operator is an operator which forms propositions from propositions. In general, a modal operator has the formal property of being non truth functional, and is intuitively characterised by expressing a modal attitude (such… …
6Frege's propositional calculus — In mathematical logic Frege s propositional calculus was the first axiomatization of propositional calculus. It was invented by Gottlob Frege, who also invented predicate calculus, in 1879 as part of his second order predicate calculus (although… …
7Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y)   (cl… …
8Window operator — In modal logic, the window operator riangle is a modal operator with the following semantic definition:M,wmodels rianglephi iff forall u, M,umodelsphiRightarrow Rwufor M=(W,R,f) a model and w,uin W. Informally, it says that w sees every phi;… …
9List of philosophy topics (I-Q) — II and thou I Ching I Ching I proposition I Thou I Thou relationshipIaIamblichus (philosopher)IbYahya Ibn Adi Yahya Ibn Adi Ibn al Arabi Muhyi al Din Ibn al Arabi Abu Bakr Ibn Bajja Abu Bakr Ibn Bājja Abu Bakr Muhammad Ibn Yahya Ibn as Say igh… …
10De Morgan's laws — In formal logic, De Morgan s laws are rules relating the logical operators and and or in terms of each other via negation. With two operands A and B: In another form: NOT (A AND B) = (NOT A) OR (NOT B) NOT (A OR B) = (NOT A) AND (NOT B) The rules …
