Logic (from Classical Greek λόγος logos; meaning word, thought, idea, argument, 
account, reason, or principle) is the study of the principles of valid 
inference and demonstration.

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 validity, 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 was considered a branch of philosophy, a part of the 
classical trivium of grammar, logic, and rhetoric. Since the mid-nineteenth 
century formal logic has been studied in the context of foundations of 
mathematics, where it was often called symbolic logic. In 1903 Alfred North 
Whitehead and Bertrand Russell attempted to establish logic formally as the 
cornerstone of mathematics with the publication of Principia Mathematica.[2] 
However, except for the elementary part, the system of Principia is no longer 
much used, having been largely superseded by set theory. As the study of formal 
logic expanded, research no longer focused solely on foundational issues, and 
the study of several resulting areas of mathematics came to be called 
mathematical logic. The development of formal logic and its implementation in 
computing machinery is fundamental to computer science.

http://en.wikipedia.org/wiki/DefinitionOfLogic


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