# A->b, C->~b, A /\ C->?

1. Dec 21, 2003

### wasteofo2

Anyone know what the answer to this would be?
A implies B
C implies not B
What happens when both A and C occur?

I just asked my brother if he wanted to play basketball with me and my father. He said (as a joke) if I were going, he wouldn't go, but if my father were going, he would go. We were both going. So mathematically, which would he do?

2. Dec 21, 2003

### Hurkyl

Staff Emeritus
The statemetn $(A \Rightarrow B) \wedge (C \Rightarrow \neg B) \wedge (A \wedge C)$ is identically false. IOW your brother lied.

3. Dec 21, 2003

### wasteofo2

What does IOW mean?

4. Dec 21, 2003

### Hurkyl

Staff Emeritus
In Other Words