Logics

Logics

Logic (from the Greek λογική, logikē) refers to both the study of modes of reasoning (which are valid, and which are fallacious) and the use of valid reasoning. In the latter sense, logic is used in most intellectual activities, including philosophy and science, but in the first sense, is primarily studied in the disciplines of philosophy, mathematics, semantics, and computer science. It examines general forms that arguments may take. In mathematics, it is the study of valid inferences within some formal language. Logic is also studied in argumentation theory.

Logic was studied in several ancient civilizations, including India, China, and Greece. In the west, logic was established as a formal discipline by Aristotle, who gave it a fundamental place in philosophy. The study of logic was part of the classical trivium, which also included grammar and rhetoric.

Logic is often divided into three parts, inductive reasoning, abductive reasoning, and deductive reasoning.

Read more about Logics:  The Study of Logic, History

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Three-valued Logic - Logics - Łukasiewicz Logic
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Logics - Topics in Logic - Rejection of Logical Truth
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BL (logic)
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Connexive Logic
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Leibniz Operator - Hierarchy
... that may or may not be satisfied for particular sentential logics have given rise to what is now known as the abstract algebraic hierarchy or Leibniz hierarchy of sentential logics ... Logics are classified in various steps of this hierarchy depending on how strong a tie exists between the logic and its algebraic counterpart ... The properties of the Leibniz operator that help classify the logics are monotonicity, injectivity, continuity and commutativity with inverse substitutions ...

Famous quotes containing the word logics:

    When logics die,
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    Dylan Thomas (1914–1953)