Understanding Truth Tables for Conditional Statements

This video tutorial introduces truth tables for conditional statements, explaining common logical symbols such as negation, conjunction, and disjunction. It provides examples of creating truth tables for various logical statements, including If P Then Q, its inverse, converse, and contrapositive. The tutorial uses analogies to clarify when conditional statements are true or false, emphasizing the importance of understanding the hypothesis and conclusion in logical reasoning.

What is the symbol used for negation in logic?

• IF-THEN

• AND

• OR

• NOT

How many rows are needed in a truth table for two variables P and Q?

• 2

• 3

• 5

• 4

In a truth table for 'If P then Q', when is the statement false?

• When both P and Q are true

• When P is true and Q is false

• When P is false and Q is true

• When both P and Q are false

What is the inverse of the statement 'If P then Q'?

• If Q then P

• If not P then not Q

• If not Q then not P

• If P then not Q

In the inverse of 'If P then Q', when is the statement false?

• When both P and Q are true

• When both P and Q are false

• When P is true and Q is false

• When not P is true and not Q is false

What is the converse of the statement 'If P then Q'?

• If not Q then not P

• If not P then not Q

• If Q then P

• If P then not Q

In the converse of 'If P then Q', when is the statement false?

• When both P and Q are true

• When both P and Q are false

• When P is true and Q is false

• When Q is true and P is false

What is the contrapositive of the statement 'If P then Q'?

• If not P then not Q

• If not Q then not P

• If Q then P

• If P then not Q

In the contrapositive of 'If P then Q', when is the statement false?

• When both P and Q are true

• When both P and Q are false

• When P is true and Q is false

• When not Q is true and not P is false

Which of the following is true for all conditional statements?

• They are true when both hypothesis and conclusion are false

• They are false when conclusion is true

• They are true when hypothesis is false

• They are false when both hypothesis and conclusion are true