Faster access than browser!Similarities between Propositional calculus and Rule of inference
Propositional calculus and Rule of inference have 16 things in common (in Unionpedia): Contraposition, Deduction theorem, First-order logic, Hilbert system, Logic, Logical connective, Logical truth, Many-valued logic, Mathematical logic, Modus ponens, Modus tollens, Natural deduction, Proposition, Quantifier (logic), Sequent calculus, Theorem.
Contraposition
In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive.
Contraposition and Propositional calculus · Contraposition and Rule of inference ·
Deduction theorem
In mathematical logic, the deduction theorem is a metatheorem of propositional and first-order logic.
Deduction theorem and Propositional calculus · Deduction theorem and Rule of inference ·
First-order logic
First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
First-order logic and Propositional calculus · First-order logic and Rule of inference ·
Hilbert system
In logic, especially mathematical logic, a Hilbert system, sometimes called Hilbert calculus, Hilbert-style deductive system or Hilbert–Ackermann system, is a type of system of formal deduction attributed to Gottlob FregeMáté & Ruzsa 1997:129 and David Hilbert.
Hilbert system and Propositional calculus · Hilbert system and Rule of inference ·
Logic
Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.
Logic and Propositional calculus · Logic and Rule of inference ·
Logical connective
In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the value of the compound sentence produced depends only on that of the original sentences and on the meaning of the connective.
Logical connective and Propositional calculus · Logical connective and Rule of inference ·
Logical truth
Logical truth is one of the most fundamental concepts in logic, and there are different theories on its nature.
Logical truth and Propositional calculus · Logical truth and Rule of inference ·
Many-valued logic
In logic, a many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values.
Many-valued logic and Propositional calculus · Many-valued logic and Rule of inference ·
Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
Mathematical logic and Propositional calculus · Mathematical logic and Rule of inference ·
Modus ponens
In propositional logic, modus ponens (MP; also modus ponendo ponens (Latin for "mode that affirms by affirming") or implication elimination) is a rule of inference.
Modus ponens and Propositional calculus · Modus ponens and Rule of inference ·
Modus tollens
In propositional logic, modus tollens (MT; also modus tollendo tollens (Latin for "mode that denies by denying") or denying the consequent) is a valid argument form and a rule of inference.
Modus tollens and Propositional calculus · Modus tollens and Rule of inference ·
Natural deduction
In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the "natural" way of reasoning.
Natural deduction and Propositional calculus · Natural deduction and Rule of inference ·
Proposition
The term proposition has a broad use in contemporary analytic philosophy.
Proposition and Propositional calculus · Proposition and Rule of inference ·
Quantifier (logic)
In logic, quantification specifies the quantity of specimens in the domain of discourse that satisfy an open formula.
Propositional calculus and Quantifier (logic) · Quantifier (logic) and Rule of inference ·
Sequent calculus
Sequent calculus is, in essence, a style of formal logical argumentation where every line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead of an unconditional tautology.
Propositional calculus and Sequent calculus · Rule of inference and Sequent calculus ·
Theorem
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.
Propositional calculus and Theorem · Rule of inference and Theorem ·
The list above answers the following questions
- What Propositional calculus and Rule of inference have in common
- What are the similarities between Propositional calculus and Rule of inference
Propositional calculus and Rule of inference Comparison
Propositional calculus has 179 relations, while Rule of inference has 39. As they have in common 16, the Jaccard index is 7.34% = 16 / (179 + 39).
References
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