Who moved the dog?

Who moved the dog? - briefly

The dog was moved by its owner in an attempt to prevent it from causing further mischief.

Who moved the dog? - in detail

The question "Who moved the dog?" presents an intriguing puzzle that has captivated minds for years. This riddle, also known as the "Three Gods Problem," is a classic example of logical reasoning and lateral thinking. Let's delve into the details of this conundrum to unravel its solution.

The setup involves three gods—A, B, and C—who are known for their truthfulness or deceitfulness. The puzzle states that if any two gods make the same statement about who moved the dog, then that statement must be true. Conversely, if they make different statements, both statements are false.

God A says, "B moved the dog."

God B says, "C moved the dog."

God C says, "A moved the dog."

To solve this, we need to analyze each statement and determine which one is true or false based on the given rules. Let's break it down step by step:

  1. Analyze God A's Statement: If God A is telling the truth (i.e., B moved the dog), then God B must also be telling the truth because God A and God B would be making the same statement. However, this leads to a contradiction because God B says C moved the dog, not himself. Therefore, God A's statement must be false.

  2. Analyze God B's Statement: Since we have determined that God A is lying, God B's statement about C moving the dog cannot be true either. If it were true, then God C would also be telling the truth (as per the initial rules), but this contradicts our earlier finding. Thus, God B's statement is false as well.

  3. Analyze God C's Statement: Given that both God A and God B are lying, their statements about who moved the dog must be false. This means God C's statement—that A moved the dog—cannot be true either. If it were, then God A would have to be telling the truth, which we already know is not the case.

Since all three gods are making false statements and their statements cannot align with each other while maintaining the rules of the problem, we arrive at a paradox. This paradox indicates that the initial assumption—that any two gods can make the same statement about who moved the dog—is flawed. The only logical conclusion is that no god moved the dog, and thus, the question itself becomes moot.

In essence, the puzzle "Who moved the dog?" highlights the importance of logical consistency and the limits of language in describing certain scenarios. It serves as a reminder that sometimes, the most straightforward answer might be hidden behind a complex web of statements and assumptions.