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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. Law of thought - Wikipedia

    en.wikipedia.org/wiki/Law_of_thought

    The laws of thought are fundamental axiomatic rules upon which rational discourse itself is often considered to be based. The formulation and clarification of such rules have a long tradition in the history of philosophy and logic. Generally they are taken as laws that guide and underlie everyone's thinking, thoughts, expressions, discussions, etc.

  4. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.

  5. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    In this sense, propositional logic is the foundation of first-order logic and higher-order logic. Propositional logic is typically studied with a formal language, [c] in which propositions are represented by letters, which are called propositional variables. These are then used, together with symbols for connectives, to make propositional formula.

  6. Laws of logic - Wikipedia

    en.wikipedia.org/wiki/Laws_of_logic

    Law of logic may refer to: Basic laws of Propositional Logic or First Order Predicate Logic; Laws of thought, which present first principles (arguably) before reasoning begins; Rules of inference, which dictate the valid use of inferential reasoning

  7. Laws of Form - Wikipedia

    en.wikipedia.org/wiki/Laws_of_Form

    The Markable Mark, an introduction by easy stages to the ideas of Laws of Form; The BF Calculus and the Square Root of Negation by Louis Kauffman and Arthur Collings; it extends the Laws of Form by adding an imaginary logical value. (Imaginary logical values are introduced in chapter 11 of the book Laws of Form.)

  8. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    For instance, Hume's principle, and Basic Law V. accessibility relation In modal logic, a relation that describes which worlds are accessible from other worlds in the semantics of possible world models. actual world In modal logic, the world that is considered to be the real world, as opposed to possible worlds which are considered in modal ...

  9. Outline of logic - Wikipedia

    en.wikipedia.org/wiki/Outline_of_logic

    Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science. Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language .