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# Mathematical Logic

A certain village has 2 inhabitants named Art and Becca, each either human or werewolf. Humans always tell the truth and werewolves always lie.

Art says, "Becca is a werewolf."

What must be true?

A certain village has 2 inhabitants named Cai and Daru, each either human or werewolf. Humans always tell the truth and werewolves always lie.

Cai says, "Both of us are werewolves."

What must be true?

A certain village has 3 inhabitants named Eleanor, Freddy, and Gaia, each either human or werewolf. Humans always tell the truth and werewolves always lie.

Eleanor says, "Freddy is human."

Freddy says, "Gaia is a werewolf."

Gaia says, "At least one of us is a werewolf."

What must be true about Eleanor and Freddy?

A certain village has 3 inhabitants named Inca, Zenny, and Addison, each either human or werewolf. Humans always tell the truth and werewolves always lie.

You know of the 3 there is **exactly 1 werewolf**. In addition, two of the villagers make statements:

Inca says, "Zenny or Addison is a werewolf."

Zenny says, "Inca is a human."

Who is the werewolf?

A certain village has 4 inhabitants, each either human or werewolf. Humans always tell the truth and werewolves always lie.

The 4 are standing adjacent to each other in a row (the villagers on the far left and right are standing next to one villager each, the ones in the middle are standing next to two villagers each).

Each one makes the statement: "Everyone next to me is a werewolf!"

How many werewolves are there?

A certain village has 3 inhabitants, each either human or werewolf. Humans always tell the truth and werewolves always lie.

All of them state: "Exactly two of us are werewolves!"

How many of them are werewolves?

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