a) Use truth tables to show that the following are valid arguments: i. [p  (p...

a) Use truth tables to show that the following are valid arguments:

i. [p  (p → q)] → q

ii. [(p → q) ∧ (q → r)] → (p → r)

b) Use truth tables to show the logical equivalence of:

i. (p → q) ⇔ (￢p ∨ q )

ii. (￢p ∨ q) ∨ (￢p  q) ⇔ p

Solutions

Expert Solution

Colby Messinger answered 3 months ago

Next > < Previous

Related Solutions

use truth tables to determine whether or not the following arguments are valid: a) if jones...

use truth tables to determine whether or not the following arguments are valid: a) if jones is convicted then he will go to prison. Jones will be convicted only if Smith testifies against him. Therefore , Jones won't go to prison unless smith testifies against him. b) either the Democrats or the Republicans will have a majority in the Senate. but not both. Having a Democratic majority is a necessary condition for the bill to pass. Therefore, if the republicans...

Create two arguments, one valid and one invalid. Demonstrate with a truth table the validity of...

Create two arguments, one valid and one invalid. Demonstrate with a truth table the validity of each

create two arguments, one valid and one invalid. Demonstrate with a truth table the validity of...

create two arguments, one valid and one invalid. Demonstrate with a truth table the validity of each.

Determine each of the following arguments’ forms to be valid or invalid. You may use the...

Determine each of the following arguments’ forms to be valid or invalid. You may use the Venn Diagram proof method, the rules/fallacies method, or any other method, of your choice. 1. Some athletes are not baseball players and some baseball players are not basketball players. Therefore, some athletes are not basketball players.2. All creationists are fundamentalists because all fundamentalists are religious people and all creationists are religious people. 3. As no conservationists are litterers, no environmentalists are litterers, because all...

Please use any of the methods to prove whether each of the following arguments is valid...

Please use any of the methods to prove whether each of the following arguments is valid or invalid. For each problem, please identify the method that you have decided to employ and make sure to show your work. 1. It is obvious that nuclear energy is needed. Nuclear energy is needed if and only if solar energy cannot be harnessed. And it is also true both that solar energy can be harnessed only if funds to do so are available,...

Using a truth table determine whether the argument form is valid or invalid p ∧ q...

Using a truth table determine whether the argument form is valid or invalid p ∧ q →∼ r p∨∼q ∼q→p ∴∼ r

Please justify below questions (its a topology question) with valid arguments: 1. Show that an infinite...

Please justify below questions (its a topology question) with valid arguments: 1. Show that an infinite set is not finite. 2. Is there an infinite set which is not countably in finite? Thanks in advance.

Symbolize the following arguments then check for validity using a truth table. To simplify, leave the...

Symbolize the following arguments then check for validity using a truth table. To simplify, leave the parenthetical parts out of your symbolization. All of the arguments are based loosely on arguments in Chapter One of The Branded Mind by Eric Du Plessis. A.(The primary function of emotions is to direct attention, so) If your client’s purchase was motivated by emotion then it was related to attention. Your client’s purchase was (motivated by a desire for well-being or cultural acceptance and...

Answer the following questions: (a) Show that the following is a tautology by using truth table...

Answer the following questions: (a) Show that the following is a tautology by using truth table and using list of equivalences. (This problem should be solved using 2 different methods mentioned above). ((¬p −→ q) ∧ (¬p −→ ¬q)) −→ p (b) Show that the compound propositions are logically equivalent, by using truth table and using list of equivalences. ¬p ∨ (r −→ ¬q) and (¬p ∨ ¬q) ∨ ¬r (c) Show that the propositions ¬p ∨ (¬r ∨ q)...

Construct a truth table for the statement [q∨(~r∧p)]→~p. Complete the truth table below by filling in...

Construct a truth table for the statement [q∨(~r∧p)]→~p. Complete the truth table below by filling in the blanks. (T or F) p q r ~r ~r∧p q∨(~r∧p) ~p [q∨(~r∧p)]→~p T T T T T F T F T T F F

Subjects