A logical statement is one that conforms to one of a variety of rules that are used to extrapolate from an axiom or premise. Logical is in no way a synonym for true or even unemotional thought. For example, take the following logical argument.
  • If a voice in my head tells me to do something, then I am receiving a command from God (If A, then B)
  • If I receive a command from God, then I must do what it says. (If B, then C)
  • A voice in my head tells me to kill people. (A)
  • Therefore: I must do what it says. (C)
This is a logically valid statement, but it is probably not true. My high-school logic teacher (yes, I was lucky) used arguments based on the premise "Cher is a dog" to illustrate this point in less graphic ways.