Logic
# Logic Warmups

Suppose I make the claim:

\[ \color{purple} { \text{If it's raining, I have my umbrella.} } \]

If I am **lying**, which of these must be the case?

Honest men always tell the truth and liars always lie. What can be said about these men?

(Note that "one of two of us" is used in the sense of "only one of the two of us".)

You are in a dungeon and come across three doors; one contains a treasure, and the other two lead to bottomless pits.

The doors have signs. You know the door that leads to treasure has a sign that is **false** and the other signs are **true**.

Which door should you take to get the treasure? (**Remember, the sign on the door that leads to treasure is false.**)

Leonardo, Steve and Jerry are three woodland creatures. One of them is a lion that always tells the truth, one of them is a snake that always lies, and one of them is a jackal that either tells the truth or a lie. How many of them (without a prior question) can make the following statement?

"I am a snake."