3. (Logic) Answer the following questions:
3. (Logic) Answer the following questions: Construct the truth table for (p rightarrow r) (q rightarrow...
QUESTION 3 Symbolize the following argument using the variables p, q, and r. Then construct a complete truth table to show whether or not the argument is valid. Use 1 for T(true) and 0 for F(false). Valid or Invalid? Why? Prove. Explain what your truth table shows. 10 points Total: 3 points for correct symbolic form, 4 points for valid/invalid and reason, 3 points for correct truth table. If Max studies hard, then Max gets an 'A' or Max gets...
Prove or disprove (without using a truth table): (p^q) rightarrow (q rightarrow p) is a tautology. Prove that the contrapositive holds (without using a truth table), that is that the followi holds: p rightarrow q identicalto q rightarrow p
Using inference rules Show that the argument form with premises (p t) rightarrow (r s), q rightarrow (u t), u rightarrow p, and s and conclusion q rightarrow r is valid by first using Exercise 11 and then using rules of inference from Table 1.
1. Use full-truth table method to check if the following argument is valid -p•(qv-I), (p=q). (qvr)>p 1: p=(-q=r) 2. Use short-cut truth table method to check if the following argument is valid p=(r v (p.-9). [=(qv(re-p)) 1:9= (pv (q.-1))
2. Construct a truth table for the statement: p q v r. ~r
Translate the premises and conclusion into the symbols of propositional logic. Construct a truth table in which you analyze the argument for validity. You can construct a truth a table by inserting a table into a Microsoft Word document (from the INSERT option in Word, choose “table.” You will then have an opportunity to choose how many rows and columns you would like your table to be.) Is your argument valid or invalid? If valid, say why it is valid;...
QUESTION 2 a. Let p and q be the statements. i Construct the truth table for (-p V q) ^ q and (-p) v q. What do you notice about the truth tables? Based on this result, a creative student concludes that you can always interchange V and A without changing the truth table. Is the student, right? ii. Construct the truth tables for (-p VG) A p and (-p) v p. What do you think of the rule formulated...
Phil-Formal Logic: Translate the premises and conclusion into the symbols of propositional logic. Construct a truth table in which you analyze the argument for validity. You can construct a truth a table by inserting a table into a Microsoft Word document (from the INSERT option in Word, choose “table.” You will then have an opportunity to choose how many rows and columns you would like your table to be.) Is your argument valid or invalid? If valid, say why it...
For the following questions, (i) formalize the argument, (ii) construct and complete a truth table, and (iii) evaluate that truth table. For your evaluation, determine whether the argument is a tautology, contingent, or contradictory, and decide whether it is valid or invalid. Please interpret disjunctions exclusively. Androids can solve problems and they can deliberate. And if they can either deliberate or solve problems, then they’re rational. So androids are rational.
For the following questions, (i) formalize the argument, (ii) construct and complete a truth table, and (iii) evaluate that truth table. For your evaluation, determine whether the argument is a tautology, contingent, or contradictory, and decide whether it is valid or invalid. Please interpret disjunctions exclusively If an android is rational, then it’s conscious, and if it’s conscious, then it has reflective mental activity. But no android has reflective mental activity, so it’s not rational.