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1. Propositional calculus: Propositional calculus or Sentential calculus is a calculus that represents the logical structure of truth-functional connectives ("not," "and," "or," "if…, then...," and others); the connectives such that their meanings determine the truth-value of a given sentence in which ... [100%] 2023-02-03
2. Propositional calculus: A general name for a deductive system whose deducible objects can be interpreted as statements formed from simple (i.e. not analyzable in the framework of propositional calculus) statements using propositional connectives (such as "not" , "and" , "or" , "if …, then …" , etc ... (Mathematics) [100%] 2023-10-24
3. Propositional calculus: Propositional calculus or Sentential calculus is a calculus that represents the logical structure of truth-functional connectives ("not," "and," "or," "if…, then...," and others); the connectives such that their meanings determine the truth-value of a given sentence in which ... [100%] 2023-02-04
4. Propositional calculus: Propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. (Branch of formal logic) [100%] 2023-12-11 [Propositional calculus] [Systems of formal logic]...
5. Propositional calculus: ☞ This page belongs to resource collections on Logic and Inquiry. A propositional calculus (or a sentential calculus) is a formal system that represents the materials and the principles of propositional logic (or sentential logic). [100%] 2023-03-29 [Charles Sanders Peirce] [Computer science]...
6. Propositional calculus: Propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. (Branch of formal logic) [100%] 2023-02-17 [Propositional calculus] [Systems of formal logic]...
7. Intuitionistic propositional calculus: A logical calculus describing rules for the derivation of propositions that are valid from the point of view of intuitionism. The generally accepted formulation of intuitionistic propositional calculus was proposed by A. (Mathematics) [81%] 2023-09-16
8. Constructive propositional calculus: A logical calculus describing a derivation method for expressions that are valid from the point of view of constructive mathematics. The phrase "constructive propositional calculus" is usually regarded as synonymous with the term intuitionistic propositional calculus. (Mathematics) [81%] 2023-10-17
9. Positive propositional calculus: A propositional calculus in the language $\{\&,\lor,\supset\}$ specified by the following 8 axiom schemes: $$A\supset(B\supset A),\quad(A\supset(B\supset C))\supset((A\supset B)\supset(A\supset C)),$$ $$A\&B\supset A,\quad A ... (Mathematics) [81%] 2023-09-29
10. Minimal propositional calculus: minimal calculus of expressions The logical calculus obtained from the positive propositional calculus $\Pi$ by the addition of a new connective $\neg$ (negation) and the axiom scheme $$(A\supset B)\supset((A\supset\neg B)\supset\neg A),$$ which is ... (Mathematics) [81%] 2023-04-23
11. Implicational propositional calculus: In mathematical logic, the implicational propositional calculus is a version of classical propositional calculus which uses only one connective, called implication or conditional. In formulas, this binary operation is indicated by "implies", "if ..., then ...", "→", "\displaystyle{ \rightarrow }[/math]", etc. [81%] 2023-02-22 [Systems of formal logic] [Propositional calculus]...
12. Implicative propositional calculus: A propositional calculus using only the primitive connective $ \supset $( implication). Examples of an implicative propositional calculus are the complete (or classical) implicative propositional calculus given by the axioms $$ p \supset ( q \supset p ) ,\ \ ( ( p \supset q ) \supset \ ( ( q \supset r ... (Mathematics) [81%] 2023-09-11
13. Implicational propositional calculus: In mathematical logic, the implicational propositional calculus is a version of classical propositional calculus that uses only one connective, called implication or conditional. In formulas, this binary operation is indicated by "implies", "if ..., then ...", "→", " → {\displaystyle \rightarrow } ", etc. [81%] 2024-09-08 [Systems of formal logic] [Propositional calculus]...
14. Frege s propositional calculus: In mathematical logic, Frege's propositional calculus was the first axiomatization of propositional calculus. It was invented by Gottlob Frege, who also invented predicate calculus, in 1879 as part of his second-order predicate calculus (although Charles Peirce was the ... [70%] 2024-08-29 [Systems of formal logic] [Propositional calculus]...