Exploring Truth Tables in Conditional Logic

This video tutorial covers truth tables for conditional statements, introducing common logical symbols such as negation, conjunction, and disjunction. It explains how to construct truth tables for various logical expressions, including If P Then Q, its inverse, converse, and contrapositive. The tutorial uses examples to illustrate when conditional statements are true or false, emphasizing the importance of understanding the hypothesis and conclusion in logical reasoning.

Which of the following is a symbol for negation in logic?

• NOT

• IF-THEN

• OR

• AND

Tags

CCSS.HSS.CP.A.1

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

• 2

• 3

• 4

• 5

In a conditional statement If P Then Q, when is the statement false?

• When P is false and Q is true

• When both P and Q are false

• When P is true and Q is false

• When both P and Q are true

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

What does the statement If P Then Q represent in the context of an agreement?

• A promise that if P is false, Q will be false

• A promise that if P is false, Q will be true

• A promise that if P is true, Q will be true

• A promise that if P is true, Q will be false

What is the inverse of the statement If P Then Q?

• If Not P Then Not Q

• If P Then Not Q

• If Q Then P

• If Not Q Then Not P

In the inverse statement If Not P Then Not Q, when is the statement false?

• When both Not P and Not Q are false

• When Not P is true and Not Q is false

• When Not P is false and Not Q is true

• When both Not P and Not Q are true

What is the converse 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 converse statement If Q Then P, when is the statement false?

• When Q is true and P is false

• When Q is false and P is true

• When both Q and P are true

• When both Q and P are false

What is the contrapositive of the statement If P Then Q?

• If P Then Not Q

• If Q Then P

• If Not P Then Not Q

• If Not Q Then Not P

In the contrapositive statement If Not Q Then Not P, when is the statement false?

• When Not Q is false and Not P is true

• When Not Q is true and Not P is false

• When both Not Q and Not P are false

• When both Not Q and Not P are true