conditional implication operation
1Logical implication — In logic and mathematics, logical implication is a logical relation that holds between a set T of formulae and a formula B when every model (or interpretation or valuation) of T is also a model of B . In symbols,# T models B, # T Rightarrow B # T …
2Material conditional — The material conditional, also known as material implication, is a binary truth function, such that the compound sentence p→q (typically read if p then q or p implies q ) is logically equivalent to the negative compound: not (p and not q). A… …
3Indicative conditional — In natural languages, an indicative conditional is the logical operation given by statements of the form If A then B . Unlike the material conditional, an indicative conditional does not have a stipulated definition. The philosophical literature… …
4Propositional 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… …
5applied logic — Introduction the study of the practical art of right reasoning. The formalism (formal logic) and theoretical results of pure logic can be clothed with meanings derived from a variety of sources within philosophy as well as from other… …
6Truth table — A truth table is a mathematical table used in logic specifically in connection with Boolean algebra, boolean functions, and propositional calculus to compute the functional values of logical expressions on each of their functional arguments, that …
7Logical biconditional — In logic and mathematics, the logical biconditional (sometimes known as the material biconditional) is the logical connective of two statements asserting p if and only if q , where q is a hypothesis (or antecedent) and p is a conclusion (or… …
8History of logic — Philosophy ( …
9United Kingdom — a kingdom in NW Europe, consisting of Great Britain and Northern Ireland: formerly comprising Great Britain and Ireland 1801 1922. 58,610,182; 94,242 sq. mi. (244,100 sq. km). Cap.: London. Abbr.: U.K. Official name, United Kingdom of Great… …
10animal learning — ▪ zoology Introduction the alternation of behaviour as a result of individual experience. When an organism can perceive and change its behaviour, it is said to learn. That animals can learn seems to go without saying. The cat that… …
