Homework 13A Logic Quiz

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Questions and Answers

INSTRUCTIONS: Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook.

Statement 2C Given the following statement: $[G \supset (R \bullet N)] \vee [R \supset (G \bullet N)]$

The truth table for Statement 2C has how many lines?

  • Four.
  • Nine.
  • Eight. (correct)
  • Twelve.
  • Six.

INSTRUCTIONS: Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook.

Given the argument: $K \vee E$ / $E \supset \sim K$ // $K \equiv \sim E$

This argument is:

  • Valid.
  • Invalid; fails in 4th line.
  • Invalid; fails in 1st line.
  • Invalid; fails in 3rd line. (correct)
  • Invalid; fails in 2nd line.

INSTRUCTIONS: Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook.

Given the argument: $P \vee J$ / $\sim(J \bullet \sim P)$ // $J \equiv \sim P$

This argument is:

  • Invalid; fails in 4th line.
  • Invalid; fails in 1st line. (correct)
  • Valid.
  • Invalid; fails in 3rd line.
  • Invalid; fails in 2nd line.

INSTRUCTIONS: Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook.

Given the argument: $S \supset (K \vee \sim S)$ / $K \supset S$ // $S \equiv K$

This argument is:

<p>Valid. (B)</p> Signup and view all the answers

INSTRUCTIONS: Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook.

Given the argument: $M \supset Q$ / $M \vee \sim Q$ // $M \bullet Q$

This argument is:

<p>Invalid; fails in 4th line. (D)</p> Signup and view all the answers

Flashcards

Truth table lines for two variables

A statement with two variables requires 4 lines in a truth table.

Truth table lines for three variables

A statement with 3 variables requires 8 lines in a truth table

Invalid Argument

An argument where it's possible for the premises to be true and the conclusion false.

Valid Argument

An argument where if the premises are true, the conclusion MUST be true.

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Study Notes

  • Homework 13.A is due April 2 at 11:59pm.
  • The quiz was started on March 31 at 12:30pm.

Question 1

  • Statement 2C: [G ⊃ (R ∨ N)] ∨ [R ⊃ (G ∨ N)]
  • The truth table for Statement 2C has six lines.

Question 2

  • Argument: K ∨ E / E ⊃ ∼ K // K ≡ ∼ E
  • The argument is invalid and fails in the 3rd line.

Question 3

  • Argument: P ∨ J / ∼(J ∨ ∼ P) // J ≡ ∼ P
  • The argument is invalid and fails in the 1st line.

Question 4

  • Argument: S ⊃ (K ∨ ∼ S) / K ⊃ S // S ≡ K
  • The argument is invalid and fails in the 2nd line.

Question 5

  • Argument: M ⊃ Q / M ∨ ∼ Q // M ⊃ Q
  • The argument is invalid and fails in the 3rd line.

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