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  2. 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.

  3. List of mathematical logic topics - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_logic...

    This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic . See also the list of computability and complexity topics for more theory of algorithms .

  4. Mathematical logic - Wikipedia

    en.wikipedia.org/wiki/Mathematical_logic

    Mathematical logic, also called 'logistic', 'symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid of an artificial notation and a rigorously deductive method. [5]

  5. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have to work". [1] Premises and conclusions express propositions or claims that can be true or false. An important ...

  6. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A result in logic and mathematics demonstrating that arithmetic can be derived from logic through the introduction of the concept of a successor and the use of second-order quantification. function A relation between sets that associates every element of a first set with exactly one element of a second set, often represented as a mapping from ...

  7. 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 .

  8. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Deductive reasoning plays a central role in formal logic and mathematics. [1] In mathematics, it is used to prove mathematical theorems based on a set of premises, usually called axioms. For example, Peano arithmetic is based on a small set of axioms from which all essential properties of natural numbers can be inferred using deductive reasoning.

  9. Logic in computer science - Wikipedia

    en.wikipedia.org/wiki/Logic_in_computer_science

    One of the things that a logician does is to take a set of statements in logic and deduce the conclusions (additional statements) that must be true by the laws of logic. For example, if given the statements "All humans are mortal" and "Socrates is human" a valid conclusion is "Socrates is mortal". Of course this is a trivial example.

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