Powered by
Share this page on
Article provided by Wikipedia

The Logic Portal
a "portal for Wikipedia's "Logic resources.
"Article · "Category · "List · "Outline · "WikiProject


""Logic portal.svg

Logic (from "Classical Greek λόγος "logos; meaning 'speech/word') is the study of the principles and criteria of valid "inference and "demonstration. The term "logos" was also believed by the Greeks to be the universal power by which all reality was sustained and made coherent and consistent.

As a "formal science, logic investigates and classifies the structure of statements and arguments, both through the study of "formal systems of "inference and through the study of arguments in natural language. The field of logic ranges from core topics such as the study of "fallacies and "paradoxes, to specialized analysis of reasoning using "probability and to arguments involving "causality. Logic is also commonly used today in "argumentation theory. [1]

Traditionally, logic is studied as a branch of "philosophy, one part of the classical "trivium, which consisted of "grammar, logic, and "rhetoric. Since the mid-nineteenth century formal logic has been studied in the context of the "foundations of mathematics. In 1910 "Bertrand Russell and "Alfred North Whitehead attempted to establish logic as the cornerstone of mathematics formally with the publication of "Principia Mathematica. However, the system of Principia is no longer much used, having been largely supplanted by "set theory. The development of formal logic and its implementation in computing machinery is the foundation of "computer science.

"
Show new selections below (purge)

Selected article

""This diagram shows the syntactic entities which may be constructed from formal languages. The symbols and strings of symbols may be broadly divided into nonsense and well-formed formulas. A formal language can be thought of as identical to the set of its well-formed formulas. The set of well-formed formulas may be broadly divided into theorems and non-theorems. However, quite often, a formal system will simply define all of its well-formed formula as theorems.[2]
In the "formal languages used in "mathematical logic and "computer science, a well-formed formula or simply formula[3] (often abbreviated wff, pronounced "wiff" or "wuff") is an "idea, "abstraction or "concept which is expressed using the "symbols and "formation rules (also called the "formal grammar) of a particular formal language. To say that a "string of symbols is a wff with respect to a given formal grammar is equivalent to saying that belongs to the language generated by . A formal language can be identified with the set of its wffs.

Selected biography

""Bertrand Russell transparent bg.png
Bertrand Arthur William Russell, 3rd Earl Russell "OM "FRS (18 May 1872 – 2 February 1970), was a "British "philosopher, "logician, "mathematician and advocate for social reform.

A prolific "writer, he was also a populariser of "philosophy and a commentator on a large variety of topics, ranging from very serious issues to those much less so. Continuing a family tradition in "political affairs, he was a prominent "anti-war "activist, championing free trade between nations and anti-imperialism.


Related portals


Things to do

Here are some "tasks awaiting attention:


  1. ^ J. Robert Cox and Charles Arthur Willard, eds. Advances in Argumentation Theory and Research, Southern Illinois University Press, 1983 "ISBN "0809310503, ISBN-13 978-0809310500
  2. ^ Godel, Escher, Bach: An Eternal Golden Braid, "Douglas Hofstadter
  3. ^ Because non-well-formed formulas are rarely considered, some authors ignore them altogether. For these authors, "formula" and "well-formed formula" are synonyms. Other authors use the term "formula" for any string of symbols in the language; certain of these strings are then singled out as the well-formed formulas.

Purge server cache

) ) WikipediaAudio is not affiliated with Wikipedia or the WikiMedia Foundation.