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 have a majority in the senate there the bill won't pass.

Expert Solution

Plz feel free to comment in case of doubts as i am happy to help you. Plz upvote the solution if u r satisfied. It means a lot to me. Thanks

Colby Messinger answered 2 years ago

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

2. Determine whether the following Propositional Logic statements are valid or invalid arguments. You may use...

2. Determine whether the following Propositional Logic statements are valid or invalid arguments. You may use a truth table, proofs using rules of inference, or resolution (specify which method you are using). (a) p→q, ~q→r, r; ∴p (b) ~p∨q, p→(r∧s), s→q; ∴q∨r (c) p→(q→r), q; ∴p→r

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,...

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...

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

Determine whether or not the following pairs are equivalent by constructing truth tables: [(wx'+y')(w'y+z)] and [(wx'z+y'z)]...

Determine whether or not the following pairs are equivalent by constructing truth tables: [(wx'+y')(w'y+z)] and [(wx'z+y'z)] [(wz'+xy)] and [(wxz'+xy+x'z')]

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.

Validity, Soundness, Strength, Cogency - Practice Arguments 2 Determine whether each of the following arguments is...

Validity, Soundness, Strength, Cogency - Practice Arguments 2 Determine whether each of the following arguments is a deductive argument or an inductive argument. If the argument is a deductive argument, then evaluate the argument for its validity and soundness. If the argument is an inductive argument, then evaluate the argument for its strength and cogency. Use the selection lists beneath each argument to indicate your answers. Argument A An aardvark is (deductive/inductive) , (valid/invalid/strong/weak) , and (sound/unsound/cogent/uncogent) . Argument B...

Use the truth-tree decision procedure (relying on Proof Tools or pen/pencil and paper) to determine whether...

Use the truth-tree decision procedure (relying on Proof Tools or pen/pencil and paper) to determine whether P→Q,Q⊨P is deductively valid.

Question