Difference between revisions of "Syllogism"
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:"All cats are mammals." | :"All cats are mammals." | ||
| − | :" | + | :"Roger is a cat." |
:Therefore | :Therefore | ||
| − | : | + | :Roger is a mammal. |
As [[linguistic]] tools, syllogisms are built from category words such as "all" "none" "some". | As [[linguistic]] tools, syllogisms are built from category words such as "all" "none" "some". | ||
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:"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. | :"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. | ||
| − | [[Category: Logic]] | + | ==External links== |
| + | *[http://plato.stanford.edu/entries/aristotle-logic/ Aristotle's Logic] - Stanford Encyclopedia of Philosophy | ||
| + | |||
| + | [[Category:Logic]] | ||
Latest revision as of 19:59, July 13, 2016
A syllogism is a logical argument that necessarily follows if two premises are true.
- "All cats are mammals."
- "Roger is a cat."
- Therefore
- Roger 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.
External links
- Aristotle's Logic - Stanford Encyclopedia of Philosophy