(a) Complete the given truth table (TT) to discover whether the argument is valid or invalid. Be sure and do each of the following steps: (i) LABEL the appropriate columns as premises and the conclusion (prem1, prem2, ..., conc.).

 

Transcribed Image Text:

(a) Complete the given truth table (TT) to discover whether the argument is valid or invalid. Be sure and do each of the following steps: (i) LABEL the appropriate columns as premises and the conclusion (prem1, prem2, ..., conc.). (ii) IDENTIFY each Row of Interest by putting "*" in the "Row of Interest?" column for that row. (iii) WRITE the value of the conclusion in every row of interest, using the column given. (iv) GO TO Part(b) to answer the question of validity. TABLE 1. Truth Table for Argument #1 Consider Argument #1 shown here: pr r~q pVq Pq T T T T T F L T F T F T F F F T T T F F F T F F F ~9 pr (b) Is the argument valid? (Explain) 11~9 pVq Famous Argument Forms (2) [20pts] Consider these statements: P: q: ~T Row of Conclusion Interest? T/F? The planet is in the Goldilocks zone. The planet has life. Use statements p and q to write an argument in ordinary English of each form below. Use the usual format of arguments, with each premise and the conclusion written on seperate lines. Use .. (a) Modus Tollens (b) Converse Error Another Argument Form: Valid or Invalid? (3) [30pts] Consider Argument #2 shown below. P q P→9 P→r pV~q .. rVq (a) Complete the given truth table (TT) to discover whether the argument is valid or invalid. Be sure and do each of the following steps: (i) FILL IN the T/F values under p. q and r according to the canonical form. (See Arg #1.) (ii) LABEL the appropriate columns as premises and the conclusion (preml, prem2..... conc.). (iii) IDENTIFY each Row of Interest by putting in the "Row of Interest?" column for that row. (iv) WRITE the value of the conclusion in every row of interest, using the column given. (v) GO TO Part(b) to answer the question of validity. TABLE 2. Truth Table for Argument #2 ~q (b) Is the argument valid? (Explain) When is an Argument Valid? (3) [4pt ea=1 =20pts] Circle TRUE or FALSE, corresponding to the truth value of each statement. (a) If at least one row TT for the argument has a true conclusion, then the argument is valid. TRUE FALSE (b) If there are no rows of interest, then the argument is valid. TRUE FALSE (c) If there is a false conclusion in any row, then the argument is invalid. TRUE FALSE (d) If there is at least one row with true premises and a true conclusion, then the argument is valid. TRUE FALSE (e) If every row of interest has a true conclusion, then the argument is valid. TRUE FALSE

• Expert Answer

A pqr pr rq pvq Row of Interest Conclusion TF T T F T T T T F F F T F T T T T F T F F F T T T T F T View the full answer