EXPLORING LOGICAL SPACE

 

1. Properties and Propositions

2. Connectives

3. Implication

4. Necessary/Sufficient/Necessary and Sufficient Conditions

5. Counterexamples

6. Top-Down and Bottom-Up Reasoning

7. Proof vs. Equilibrium Reasoning

 

 

THE FIFTH/SIXTH COMMANDMENT FROM THE OLD TESTAMENT

 

Let K = Killing

Let W = Morally Wrong

 

Literal-minded way of understanding the Fifth/Sixth Commandment:

 

K W [Being a killing implies that an act is morally wrong]

 

What does this statement mean?

It is not possible for something to be K & -W.

 

Can you think of a counterexample?

 

 

AN EXAMPLE OF A VALID DEDUCTION WITH A FALSE CONCLUSION

 

(1) The moon is made of green cheese Professor Talbott is a blue-nosed gopher.

 

(2) The moon is made of green cheese.

 

________________________

 

Conclusion: Professor Talbott is a blue-nosed gopher.