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Vacuous truth

In mathematics and logic, a vacuous truth is a conditional or universal statement (specifically a universal statement that can be converted to a conditional statement) that is true because the antecedent cannot be satisfied. An example of such a statement is "if Tokyo is in Spain, then the Eiffel Tower is in Bolivia".

Scope of the concept, In computer programming & Definitions

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Overview

Definitions

Scope of the concept

In computer programming

Examples

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Map overview Semantic statistics

Vacuous truth

Nodes52
Edges51
Triples36
Avg. degree1.96
Density0.038462
Components1

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Vacuous truth

Top relations

related to In computer programming · 22
Vacuous truth → Curry, False, For, Howard, In, In Agda, In JavaScript, In Kotlin, In Python, In Rust, In SQL, It, Linq, Many, Notably, NULLs, RDBMS's, Set, Some DBMS, Some RDBMS
related to Definitions · 7
Vacuous truth → Bolivia, Eiffel Tower, Examples, In, Spain, These, Tokyo
related to Examples · 6
Vacuous truth → All, For, None, Similarly, These, This
is a · 1
Vacuous truth → conditional or universal statement

Important terminology Word statistics

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Important terminology

true statement vacuous example conditional empty antecedent displaystyle vacuously truth cell phones room turned also material forall false mathematics logic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Vacuous truthis aconditional or universal statement0.90text
Vacuous truthrelated to DefinitionsThese0.60section
Vacuous truthrelated to DefinitionsIn0.60section
Vacuous truthrelated to DefinitionsTokyo0.60section
Vacuous truthrelated to DefinitionsSpain0.60section
Vacuous truthrelated to DefinitionsEiffel Tower0.60section
Vacuous truthrelated to DefinitionsBolivia0.60section
Vacuous truthrelated to DefinitionsExamples0.60section
Vacuous truthrelated to ExamplesThese0.60section
Vacuous truthrelated to ExamplesFor0.60section
Vacuous truthrelated to ExamplesThis0.60section
Vacuous truthrelated to ExamplesAll0.60section

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