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United States (324,243)
Mathematics (102)
MGF 1106 (4)
Lecture

Lecture 4

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Department
Mathematics
Course
MGF 1106
Professor
Jordan Draper
Semester
Summer

Description
Symbolic Arguments  Example of an argument: o If the Gators win, I’ll buy dinner. I bought dinner._______________ Therefore, the Gators won. o p = the Gators win q = I bought dinner o Argument form: p→q q____ p o ⇔ [(p→q) ∧ q] →p  Is an argument valid or invalid? o make a truth table o if it is a tautology- the argument is valid o if it is not a tautology- the argument is invalid o ex. [(p→q) ∧ q] →p p q p→q (p→q) ∧ q [(p→q) ∧ q] →p T T T T T T F F F T F T T T F F F T F T Therefore, this argument is invalid.  Laws that can prove if an argument is valid o Law of detachment:  p→q p____ q o Law of contrap
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