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.
Other articles related to "logic":
... in the code and resources dedicated to the presentation logic ... presentation" (front end) and "business logic" (infrastructure) is usually an important one, because the presentation source code language may differ from other code assets the production process for the application ...
... figures in the history and/or modern development of paraconsistent logic include Alan Ross Anderson (USA, 1925–1973) ... One of the founders of relevance logic, a kind of paraconsistent logic ... Worked with Anderson on relevance logic ...
... Paraconsistent logic has been applied as a means of managing inconsistency in numerous domains, including Semantics ... Paraconsistent logic has been proposed as means of providing a simple and intuitive formal account of truth that does not fall prey to paradoxes such as the Liar ... Some believe that paraconsistent logic has significant ramifications with respect to the significance of Russell's paradox and Gödel's incompleteness theorems ...
... In logic, two mutually exclusive propositions are propositions that logically cannot be true at the same time ...
... One well-known system of paraconsistent logic is the simple system known as LP ("Logic of Paradox"), first proposed by the Argentinian logician F ... precisely those of classical propositional logic ... LP and classical logic differ only in the inferences they deem valid.) Relaxing the requirement that every formula be either true or false yields the weaker paraconsistent logic ...
Famous quotes containing the word logic:
“Our argument ... will result, not upon logic by itselfthough without logic we should never have got to this pointbut upon the fortunate contingent fact that people who would take this logically possible view, after they had really imagined themselves in the other mans position, are extremely rare.”
—Richard M. Hare (b. 1919)
“... We need the interruption of the night
To ease attention off when overtight,
To break our logic in too long a flight,
And ask us if our premises are right.”
—Robert Frost (18741963)