6.6a Exercise: LogiCola D (AE, AM, AH) First appraise intuitively. Then translate into logic (using the letters given) and use the truth-table test to determine validity. LR (L R), L . R Valid It's in my left hand or 0 0 0 0 We never my right hand. 01 1 get true It's not in my left hand. HOW prem .. It's in my right hand. 1 false concl 1. If you're a collie, then you're a dog. You're a dog. :. You're a collie. [Use C and D.] 2. If you're a collie, then you're a dog. You're not a dog. . You're not a collie. [Use C and D.] 3. It's an empirical fact that the basic physical constants are precisely in the narrow range of what is required for life to be possible. (This "fine-tuning principle" has considerable evidence behind it.) The best explanation for this fact is that the basic physical constants were caused by a great mind intending to produce life. (The main alternatives are the "chance coincidence" and "parallel universe" explanations.) If these two things are true, then it's reasonable to believe that the basic structure of the world was set up by a great mind (God) intending to produce life. It's reasonable to believe that the basic structure of the world was set up by a great mind (God) intending to produce life. [Use E, B, and R; see $5.9.] 4. I'll go to Paris during spring break if and only if I'll win the lottery. I won't win the lottery. I won't go to Paris during spring break. 5. If we have a simple concept proper to God, then we've directly experienced God and we can't rationally doubt God's existence. We haven't directly experienced God. We can rationally doubt God's existence. 6. If there is a God, then God created the universe. If God created the universe, then matter didn't always exist. Matter always existed. There is no God. 7. If this creek is flowing, then either the spring upstream has water or this creek has some other water source. This creek has no other water source. This creek isn't flowing. The spring upstream has no water