Question

Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If Dave and Cheryl go home, then I will go home. Dave will not go home or Cheryl will not go home

I will go not home

Answer 1

The argument is invalid as there is a combination where all the premises are true and the conclusion is false.

Step-by-step explanation:

The argument can be translated into symbolic form as:

(Dave and Cheryl) → (I go home)

¬Dave or ¬Cheryl

¬(I go home)

This is a disjunctive syllogism.

To determine whether the argument is valid or invalid, we can use a truth table:

DaveCherylI go home

TTF

FTT

TFT

FFT

From the truth table, we can see that there is a combination where all the premises are true and the conclusion is false. Therefore, the argument is invalid.