Definition of Logical implication

1. Noun. A logical relation between propositions p and q of the form 'if p then q'; if p is true then q cannot be false.

Exact synonyms: Conditional Relation, Implication
Generic synonyms: Logical Relation
Derivative terms: Implicate, Implicational, Imply

Lexicographical Neighbors of Logical Implication

logic gate
logic gates
logic operation
logic programing
logic programming
logical argument
logical atomism
logical calculus
logical complement
logical connective
logical constant
logical diagram
logical fallacies
logical fallacy
logical implication (current term)
logical mechanical element
logical operation
logical positivism
logical positivist
logical proof
logical quantifier
logical quotation
logical relation
logical system
logical thinking
logical topology

Literary usage of Logical implication

Below you will find example usage of this term as found in modern and/or classical literature:

1. Thought and Things: A Study of the Development and Meaning of Thought, Or by James Mark Baldwin (1911)
"... valuable object," and if the whole is stated in the form of explicit relation, then we must apply to it all the rules of logical implication, reasoning, ..."

2. Supplement to Encyclopædia Britannica (ninth Edition): A Dictionary of Arts (1891)
"The logical implication here is often less clear and definite than in ... In all buch cases the relation contemplated is purely one of logical implication. ..."

3. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, and General by Thomas Spencer Baynes (1888)
"... or may be vaguely taken (as too frequently by Leibnitz) to cover necessity of mere logical implication— the necessity of analytic, including identical, ..."

4. Theism by Borden Parker Bowne (1902)
"And this must be the case with any view which makes the relation of God to the world one of logical implication. For logic knows no time, and the conclusion ..."

5. Studies and Exercises in Formal Logic: Including a Generalization of Logical by John Neville Keynes (1884)
"With most modern logicians, however, the logical implication of some is limited to some at least, not exclusive of all. Using the word in this sense, ..."

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