Difference between revisions of "Syllogism"

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(New page: A '''syllogism''' is a logical argument that necessarily follows if two premises are true. "All cats are mammals." "Fluffy is a cat." Therefore Fluffy is a mammal. As [[ling...)
 
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A '''syllogism''' is a [[logical]] [[argument]] that necessarily follows if two [[premise]]s are true.
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A '''syllogism''' is a [[logic]]al [[argument]] that necessarily follows if two [[premise]]s are true.
  
 
"All cats are mammals."
 
"All cats are mammals."

Revision as of 18:40, November 12, 2008

A syllogism is a logical argument that necessarily follows if two premises are true.

"All cats are mammals." "Fluffy is a cat." Therefore Fluffy is a mammal.

As linguistic tools, syllogisms are built from category words such as "all" "none" "some". "No conservative voted for Obama" "Andy is a conservative" therefore, "Andy did not vote for Obama".

One has to be careful, however, what categories are applied and assumed.

"No conservative voted for Obama" "John did not vote for Obama" Therefore "John is a conservative." is an example of an incorrect syllogism, as the exclusive category "no Conservative" does not rule out other people not voting for Obama.