What does propositional calculus mean?

Definitions for propositional calculus
propo·si·tion·al cal·cu·lus

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

Princeton's WordNet

  1. propositional logic, propositional calculusnoun

    a branch of symbolic logic dealing with propositions as units and with their combinations and the connectives that relate them

Wiktionary

  1. propositional calculusnoun

    propositional logic.

ChatGPT

  1. propositional calculus

    Propositional calculus, also known as propositional logic, sentential logic, or statement logic, is a branch of mathematical logic that involves the study of propositions that are formed by other propositions using logical connectives, and how their value is determined based on the truth values of their components. It involves the use of logical operators such as "and", "or", "not", "if...then", and "if and only if" to form complex propositions from simple ones and to establish logical relationships and properties between them. Propositional calculus is foundational in fields such as computer science, digital logic, and philosophy, as it helps in reasoning about truth values and logical relationships.

Wikidata

  1. Propositional calculus

    In mathematical logic, a propositional calculus or logic is a formal system in which formulae of a formal language may be interpreted as representing propositions. A system of inference rules and axioms allows certain formulae to be derived, called theorems; which may be interpreted as true propositions. The series of formulae which is constructed within such a system is called a derivation and the last formula of the series is a theorem, whose derivation may be interpreted as a proof of the truth of the proposition represented by the theorem. Truth-functional propositional logic is a propositional logic whose interpretation limits the truth values of its propositions to two, usually true and false. Truth-functional propositional logic and systems isomorphic to it are considered to be zeroth-order logic.

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Numerology

  1. Chaldean Numerology

    The numerical value of propositional calculus in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of propositional calculus in Pythagorean Numerology is: 1

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"propositional calculus." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/propositional+calculus>.

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