Please go over and analyze the contents of the following links:
1. http://wiki.answers.com/Q/What_are_the_rules_of_syllogism_and_an_example
2. http://wiki.answers.com/Q/Rules_for_validity_on_categorical_syllogism
3. http://wiki.answers.com/Q/8_rules_of_categorical_syllogism
4. http://wiki.answers.com/Q/What_are_the_Rules_of_Categorical_Syllogism
However, please read Chapter 5, pages 82 and following of the book: Logic Made Easy by Venancio Ardales.
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