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.
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.
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