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Implication

Implication Im`pli*ca"tion, n. [L. implicatio: cf. F. implication.] 1. The act of implicating, or the state of being implicated. Three principal causes of firmness are. the grossness, the quiet contact, and the implication of component parts. --Boyle. 2. An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words. Whatever things, therefore, it was asserted that the king might do, it was a necessary implication that there were other things which he could not do. --Hallam.

Implication Im`pli*ca"tion, n. [L. implicatio: cf. F. implication.] 1. The act of implicating, or the state of being implicated. Three principal causes of firmness are. the grossness, the quiet contact, and the implication of component parts. --Boyle. 2. An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words. Whatever things, therefore, it was asserted that the king might do, it was a necessary implication that there were other things which he could not do. --Hallam.

- Implication may refer to: Logical consequence (also entailment or logical implication), the relationship between statements that holds true when one logically...

- Material implication may refer to: Material conditional, a logical connective Material implication (rule of inference), a rule of replacement for some...

- Converse implication is the converse of implication, written ←. That is to say; that for any two propositions P {\displaystyle P} and Q {\displaystyle...

- modus ponendo ponens (Latin for "mode that by affirming affirms") or implication elimination) is a rule of inference. It can be summarized as "P implies...

- The material conditional (also known as material implication, material consequence, or simply implication, implies, or conditional) is a logical connective...

- In mathematical logic, an implication graph is a skew-symmetric directed graph G = (V, E) composed of vertex set V and directed edge set E. Each vertex...

- In propositional logic, material implication is a valid rule of replacement that allows for a conditional statement to be replaced by a disjunction in...

- to Washington, DC., and worked together for a while, working at the implications of this kind of painting. In abstract painting during the 1950s and 1960s...

- Environmental impact of paper Environmental impact of pesticides Environmental implications of nanotechnology Environmental impact of shipping Environmental impact...

- P, P is equivalent (or materially equivalent) to Q (compare material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in case...

- Material implication may refer to: Material conditional, a logical connective Material implication (rule of inference), a rule of replacement for some...

- Converse implication is the converse of implication, written ←. That is to say; that for any two propositions P {\displaystyle P} and Q {\displaystyle...

- modus ponendo ponens (Latin for "mode that by affirming affirms") or implication elimination) is a rule of inference. It can be summarized as "P implies...

- The material conditional (also known as material implication, material consequence, or simply implication, implies, or conditional) is a logical connective...

- In mathematical logic, an implication graph is a skew-symmetric directed graph G = (V, E) composed of vertex set V and directed edge set E. Each vertex...

- In propositional logic, material implication is a valid rule of replacement that allows for a conditional statement to be replaced by a disjunction in...

- to Washington, DC., and worked together for a while, working at the implications of this kind of painting. In abstract painting during the 1950s and 1960s...

- Environmental impact of paper Environmental impact of pesticides Environmental implications of nanotechnology Environmental impact of shipping Environmental impact...

- P, P is equivalent (or materially equivalent) to Q (compare material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in case...

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