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In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P.
IMPLY can be denoted in algebraic expressions with the logic symbol right-facing arrow (→). Logically, it is equivalent to material implication, and the logical expression ¬A v B. There are two symbols for IMPLY gates: the traditional symbol and the IEEE symbol. For more information see Logic gate symbols.
Suppose we are given that .Then we have by the law of excluded middle [clarification needed] (i.e. either must be true, or must not be true).. Subsequently, since , can be replaced by in the statement, and thus it follows that (i.e. either must be true, or must not be true).
Implicature, what is suggested in an utterance, even though neither expressed nor strictly implied; Implicational universal or linguistic universal, a pattern that occurs systematically across natural languages Implicational hierarchy, a chain of implicational universals; if a language has one property then it also has other properties in the chain
In formal languages, truth functions are represented by unambiguous symbols.This allows logical statements to not be understood in an ambiguous way. These symbols are called logical connectives, logical operators, propositional operators, or, in classical logic, truth-functional connectives.
Implied volatility is an essential concept for options traders. It provides insight into market expectations and helps traders gauge risk and opportunity. While it doesn’t predict price ...
Logical consequence (also entailment or logical implication) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement logically follows from one or more statements.
Q does not imply P. Colloquial. This section is empty. You can help by adding to it. (February 2011) Boolean algebra. Converse ... additional terms may apply.