Here is a convenient set of symbols you may use to copy and paste:…
QuestionAnswered step-by-stepHere is a convenient set of symbols you may use to copy and paste:… Here is a convenient set of symbols you may use to copy and paste: ~ v · ⊃ ≡ I. Translate the following full arguments into symbolic form using the equivalences given in the parentheses. All capital letters represent affirmative statements. write your translation below each problem. You may write the form by symbols, or describe the symbols. (1 point each: 4 points total)EXAMPLE:I have not been quarantined. (Q= I have been quarantined)~Q OR tilde Q 1. I have studied for the logic test and I am confident. (S= I have studied for the logic test; C= I am confident.) 2. Either I will get an A, or I will get a B. (A= I will get an A; B= I will get a B.) 3. James will be at the concert, and either Sally or Letisha will go to the rally. (J= James will be at the concert; S= Sally will go to the rally; L= Letisha will go to the rally) 4. Neither Pattie nor Quintin will be at the party. (P= Pattie will be at the party; Q= Quintin will be at the party.) II. Identifying Main Connective. Below each problem write the name of the main connective. In cases of multiple occurrences of the symbol, specify ‘first,’ second’ or ‘third.’ (1 point total) EXAMPLE: ~ [(P ⊃ R) ⊃S] ⊃ T Third horseshoe 1. [S · (C v D)] · (E ≡ F) III. Determine whether the following formula is well-formed, or not. write your answer below each problem. You need not explain your answer. (1 point total) EXAMPLE: ~ (Y · X) ~ Ú P Not well-formed 1. ~ A ⊃ ~ [(L · T) v (X ≡ Y)] IV. Determine the truth values of the following compound statements as either true (T) or false (F). Let A, B and C be true. Let X, Y and Z be false. EXAMPLE: A · C A · CT T T TRUE Problem #1 B ⊃ (X v Y)B ⊃ (X v Y) This compound statement is _______. V. Determine the truth value of the following compound statement as either true (T), false (F), or unknown (?). Let B be true, and let Z be false. And Q has an unknown truth value. Fill in the truth table and type your reading or interpretation of the table below it. Example: Q ⊃ B Q ⊃ BT T TF T TTRUE (~ B v Q) ≡ Z (~ B v Q) ≡ Z This compound statement is ___________. VI. Use truth tables to determine whether the following symbolized statement is a tautology, self-contradiction or contingent statement. write your final answer below the truth table. (1 point total) EXAMPLE:P v ~ PP v ~ PT T F TF T T F Tautology ~ [(P ⊃ Q) v (Q ⊃ P)] ~ [(P ⊃ Q) v (Q ⊃ P)] This compound statement is a ________________. VII. Use a truth table to determine whether the following compound statements are logically equivalent, contradictory, consistent, or inconsistent. write your final answer under the truth table. (2 pts. total) P ≡ Q // ~ (~ P v Q)P ≡ Q // ~ (~ P v Q) These compound statements are _________________. VIII. Use indirect (partial) truth tables to determine whether the following arguments are valid or invalid. Type your answer under the truth table. EXAMPLE: P ⊃ Q~ Q ⊃ P P ⊃ Q // ~ Q ⊃ PF T T F F FINVALID Problem #1P ≡ X~ XP P ≡ X / ~ X // P This deductive argument is ___________. Problem #2(Z ⊃~ K) · (A ⊃ ~ L)Z · AK v L (Z ⊃ ~ K) · (A ⊃ ~ L) / Z · A // K v L This deductive argument is ______________. Arts & HumanitiesPhilosophyPHI 100Share Question
