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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. 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.

  5. 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.

  6. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    A rule of inference is a way or schema of drawing a conclusion from a set of premises. [17] This happens usually based only on the logical form of the premises. A rule of inference is valid if, when applied to true premises, the conclusion cannot be false. A particular argument is valid if it follows a valid rule of inference.

  7. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    rule of inference A logical rule that justifies the transition from a set of premises to a conclusion, forming the basis of deductive reasoning. rule of replacement A rule in formal logic allowing for the substitution of equivalent expressions within logical proofs, maintaining the validity of the argument.

  8. 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;

  9. Inference - Wikipedia

    en.wikipedia.org/wiki/Inference

    Rule of inference – Systematic logical process capable of deriving a conclusion from hypotheses; List of rules of inference; Theorem – In mathematics, a statement that has been proven; Transduction (machine learning) – Type of statistical inference