What does propositional variable mean?

Definitions for propositional variable
propo·si·tion·al vari·able

This dictionary definitions page includes all the possible meanings, example usage and translations of the word propositional variable.

Wiktionary

  1. propositional variablenoun

    A variable that can either be true or false.

Wikipedia

  1. Propositional variable

    In mathematical logic, a propositional variable (also called a sentential variable or sentential letter) is an input variable (that can either be true or false) of a truth function. Propositional variables are the basic building-blocks of propositional formulas, used in propositional logic and higher-order logics.

Wikidata

  1. Propositional variable

    In mathematical logic, a propositional variable is a variable which can either be true or false. Propositional variables are the basic building-blocks of propositional formulas, used in propositional logic and higher logics. Formulas in logic are typically built up recursively from some propositional variables, some number of logical connectives, and some logical quantifiers. Propositional variables are the atomic formulas of propositional logic. For example, in a given propositional logic, we might define a formula as follows: ⁕Every propositional variable is a formula. ⁕Given a formula X the negation ¬X is a formula. ⁕Given two formulas X and Y, and a binary connective b, then is a formula. In this way, all of the formulas of propositional logic are built up from propositional variables as a basic unit. Propositional variables should not be confused with the metavariables which appear in the typical axioms of propositional calculus; the latter effectively range over well-formed formulae. Propositional variables are represented as nullary predicates in first order logic.

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Numerology

  1. Chaldean Numerology

    The numerical value of propositional variable in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of propositional variable in Pythagorean Numerology is: 6


Translations for propositional variable

From our Multilingual Translation Dictionary

  • متغير اقتراحArabic
  • प्रस्तावक चरHindi

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"propositional variable." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/propositional+variable>.

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