Question

Valid or invalid and why?

1. P1: If you exercise, you will lose the weight.

P2: You do not exercise

C: You will not lose the weight.

2. P1: Either both Tom and Jake are going to take over Google, or Ashley will remain as the CEO.

P2: Ashley will not remain as the CEO.

C: Tom and Jake will take over Google.

3. P1: Dr. Manhattan is not human.

P2: If Dr. Manhattan falls in love, then he is human.

P3: Dr. Manhattan falls in love.

C: Ozymandias has the right to kill people.

Answer 1

P1: If you exercise, you will lose the weight.

P2: You do not exercise

C: You will not lose the weight.

This is Invalid because there are some other ways also to lose weight. Exercise is not the only way to lose weight.

2. P1: Either both Tom and Jake are going to take over Google, or Ashley will remain as the CEO.

P2: Ashley will not remain as the CEO.

C: Tom and Jake will take over Google.

This is valid because in the P1 there are two conditions and conclusion is representing 1 out of those 2.

3. P1: Dr. Manhattan is not human.

P2: If Dr. Manhattan falls in love, then he is human.

P3: Dr. Manhattan falls in love.

C: Ozymandias has the right to kill people.

This is invalid because conclusion is not even related to premises.