A more complex example: (L&E)>P | L>P

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Presentation transcript:

A more complex example: (L&E)>P | L>P Calculating Validity A more complex example: (L&E)>P | L>P

Calculating Validity A more complex example: (L&E)>P | L>P Here we have 3 variables, so we need to list all the ways L, E and P can be T or F. L E P (L&E)>P | L>P

Calculating Validity A more complex example: (L&E)>P | L>P Here we have 3 variables, so we need to list all the ways L, E and P can be T or F. L T F T F F T F E T T F F P T T T TF F F F (L&E)>P | L>P

Calculating Validity A more complex example: (L&E)>P | L>P Here we have 3 variables, so we need to list all the ways L, E and P can be T or F. L T F T F F T F E T T F F P T T T TF F F F (L&E)>P | L>P

Calculating Validity A more complex example: (L&E)>P | L>P Here we have 3 variables, so we need to list all the ways L, E and P can be T or F. L T F T F F T F E T T F F P T T T TF F F F (L&E)>P | L>P

Calculating Validity A more complex example: (L&E)>P | L>P Here we have 3 variables, so we need to list all the ways L, E and P can be T or F. L T F T F F T F E T T F F P T T T TF F F F (L&E)>P | L>P

Calculating Validity A more complex example: (L&E)>P | L>P Here we have 3 variables, so we need to list all the ways L, E and P can be T or F. L T F T F F T F E T T F F (L&E)>P | L>P P T T T TF F F F T T T T F T T T T T T F F T

Calculating Validity Counterexample A more complex example: (L&E)>P | L>P Here we have 3 variables, so we need to list all the ways L, E and P can be T or F. L T F T F F T F E T T F F P T T T TF F F F (L&E)>P | L>P T T T T F T T T T T T F F T Counterexample The argument is INVALID.

What happens if there are four L T F T F F T F E T T F F P T T T TF F F F R Four Variables What happens if there are four or more variables in the argument?

What happens if there are four L T F T F F T F E T T F F P T T T TF F F F R Four Variables What happens if there are four or more variables in the argument? T F T F F T F

What happens if there are four L T F T F F T F E T T F F P T T T TF F F F R Four Variables What happens if there are four or more variables in the argument? T F T F F T F T T F F

What happens if there are four L T F T F F T F E T T F F P T T T TF F F F R Four Variables What happens if there are four or more variables in the argument? T F T F F T F T T F F T T T TF F F F

What happens if there are four L T F T F F T F E T T F F P T T T TF F F F R T T T T T T T T F F F F F F F F Four Variables What happens if there are four or more variables in the argument? T F T F F T F T T F F T T T TF F F F

What happens if there are five L T F T F F T F E T T F F P T T T TF F F F R T T T T T T T T F F F F F F F F : S T T T T T T T T T T T T T T T T : Five Variables What happens if there are five or more variables in the argument? T F T F F T F : T T F F T T F F : T T T TF F F F : For more click here

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