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  2. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    Each logic operator can be used in an assertion about variables and operations, showing a basic rule of inference. Examples: The column-14 operator (OR), shows Addition rule: when p=T (the hypothesis selects the first two lines of the table), we see (at column-14) that p∨q=T.

  3. Rule of inference - Wikipedia

    en.wikipedia.org/wiki/Rule_of_inference

    This is the modus ponens rule of propositional logic. Rules of inference are often formulated as schemata employing metavariables. [2] In the rule (schema) above, the metavariables A and B can be instantiated to any element of the universe (or sometimes, by convention, a restricted subset such as propositions) to form an infinite set of ...

  4. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Deductively valid arguments follow a rule of inference. [38] A rule of inference is a scheme of drawing conclusions that depends only on the logical form of the premises and the conclusion but not on their specific content. [39] [40] The most-discussed rule of inference is the modus ponens. It has the following form: p; if p then q; therefore q.

  5. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    The main focus of most logicians is to study the criteria according to which an argument is correct or incorrect. A fallacy is committed if these criteria are violated. In the case of formal logic, they are known as rules of inference. [93] They are definitory rules, which determine whether an inference is correct or which inferences are allowed.

  6. Category:Rules of inference - Wikipedia

    en.wikipedia.org/wiki/Category:Rules_of_inference

    Pages in category "Rules of inference" The following 43 pages are in this category, out of 43 total. ... Absorption (logic) Admissible rule; Antidistributive;

  7. Inference - Wikipedia

    en.wikipedia.org/wiki/Inference

    Philosophers and scientists who follow the Bayesian framework for inference use the mathematical rules of probability to find this best explanation. The Bayesian view has a number of desirable features—one of them is that it embeds deductive (certain) logic as a subset (this prompts some writers to call Bayesian probability "probability logic ...

  8. Disjunction introduction - Wikipedia

    en.wikipedia.org/wiki/Disjunction_introduction

    Disjunction introduction or addition (also called or introduction) [1] [2] [3] is a rule of inference of propositional logic and almost every other deduction system. The rule makes it possible to introduce disjunctions to logical proofs. It is the inference that if P is true, then P or Q must be true. An example in English: Socrates is a man.

  9. Absorption (logic) - Wikipedia

    en.wikipedia.org/wiki/Absorption_(logic)

    Absorption is a valid argument form and rule of inference of propositional logic. [1] [2] The rule states that if implies , then implies and .The rule makes it possible to introduce conjunctions to proofs.