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Encyclopedia > College logic

Logic is the study of argument — not angry disagreements or fisticuffs, but instead the giving of reasons to believe things. College logic is a contemporary name for logic presented as a pedagogic subject, in a tradition that goes back two millennia.


As it is studied in a traditional first logic course in college (based on traditional logic), logic is the study of (1) argument form, (2) the qualities (of arguments) of validity, cogency, and soundness, and (3) how to construct, identify, interpret, and evaluate various kinds of arguments. Traditional treatments of logic have included discussion of not just arguments, but the varieties and standards of definitions, as well.


Logic, like mathematics and physics, has a theoretical part and an applied part. Parts (1) and (2) of the above_described definition together describe the theoretical part of logic, and (3) describes the applied part. Just as a nonmathematician learning physics should study mathematics in order to use or apply mathematics well, a nonlogician in any task that requires reasoning, such as confirming rational beliefs, should study logic to learn how to use or apply logic well. Moreover, like mathematics and physics (and many other subjects), one has to practice quite a bit if one wants to gain any facility in using logic. Therefore, logic teachers will frequently assign students to analyze real_life arguments, in roughly the fashion as can be found in the Sherlock Holmes article under the "Holmesian deduction" heading.


See also traditional logic and Aristotelian logic. For comparison, see multi-valued logic.




  Results from FactBites:
 
Logic - Wikipedia, the free encyclopedia (3434 words)
The ambiguity is that "formal logic" is very often used with the alternate meaning of symbolic logic as we have defined it, with informal logic meaning any logical investigation that does not involve symbolic abstraction; it is this sense of 'formal' that is parallel to the received usages coming from "formal languages" or "formal theory".
The boldest attempt to apply logic to mathematics was undoubtedly the logicism pioneered by philosopher-logicians such as Gottlob Frege and Bertrand Russell: the idea was that mathematical theories were logical tautologies, and the programme was to show this by means to a reduction of mathematics to logic.
Again, relevance logic and dialetheism are the most important approaches here, though the concerns are different: the key issue that classical logic and some of its rivals, such as intuitionistic logic have is that they respect the principle of explosion, which means that the logic collapses if it is capable of deriving a contradiction.
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