Question
Use your knowledge of truth tables for arguments to determine which of the following statements are true. Check the box next to each true statement. An argument with a self-contradictory conclusion must be invalid. If a conditional statement is a tautology, then the argument consisting of the conditional's antecedent as its premise and conditional's consequent as its conclusion is a valid argument. It is possible for an invalid argument to have a truth table with a line in which the premises and conclusion are all true. If an argument in propositional logic is invalid, then the argument's corresponding conditional (which is a conditional consisting of the conjunction of the argument's premises as its antecedent and the argument's conclusion as its consequent) is true in every truth table row. Any argument having a tautotogous conclusion is invalid, regardless of what its premises are. In a truth table for an argument, the presence of one or more truth table rows in which all the premises are true and the conclusion is false at the same time shows that the argument is invalid. If an argument has either inconsistent premises or a tautologous conclusion, then the argument is valid. It is possible for an invalid argument to have a tautology for one of its premises. If a truth table for an argument shows no row in which all the premises are true and the conclusion is false then the argument is invalid. A valid argument cannot have contradictory premises.
Explanation / Answer
1. F
2. T
3. F
4. T
5.T
6. F
7.F
8.T
9.T
10.F
