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  1. Brain Teasers
  2. Three gods A, B, and C are called True, False, and…
Brain Teaser🔴 hardLogic

Three gods A, B, and C are called True, False, and Random, in some order. True always speaks truly, False always speaks falsely, and Random speaks truly or falsely at random. Determine the identities of A, B, and C by asking three yes-or-no questions, each addressed to one god.

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Ask A: 'If I asked you whether B is Random, would you say yes?' Based on the answer, ask either B or C a similar nested question to determine identities.

Why this works

At first glance, this riddle seems to wrap you in a web of logic that could easily lead you astray, but it cleverly reveals the identities of the gods through a single, carefully crafted question. By asking A, "If I asked you whether B is Random, would you say yes?" you're employing a technique that capitalizes on the nature of their truth-telling: regardless of whether A is True, False, or Random, their answer will guide you toward the truth about B's identity. If A is True, they will honestly convey what they would say; if False, they will invert their answer, leading to a consistent truth about B. This riddle taps into deeper concepts of logic and self-reference, inviting you to explore the nuances of truth and falsehood. It effectively demonstrates how language can be structured to reveal complex relationships—like a beautiful tapestry woven from threads of certainty and uncertainty. The "aha moment" comes when you realize that, despite the randomness of one god, you can still discern the truth through strategic questioning. Interestingly, this type of riddle has roots in ancient philosophical puzzles and paradoxes, often used to explore the nature of truth itself—think of the famous Liar Paradox where a statement refers to itself in a way that challenges our understanding of truth. Engaging with riddles like this not only sharpens our critical thinking but also reminds us that beneath the surface of language lies a rich world of logic just waiting to be uncovered.

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Common Wrong Answers

“Ask A: 'Is B True?'”

This question doesn't provide enough information to distinguish between the gods because if A is True, they would say yes, and if A is False, they would also say no without clarifying who B is.

“Ask any god: 'Are you Random?'”

If you ask True, they will say 'No', and if you ask False, they will also say 'No'. Random could say either 'Yes' or 'No'. This doesn't help to identify any of the gods since the responses are not conclusive.

“Ask B: 'Is A False?'”

This question does not yield clear information. If B is True, they would say 'No' if A is True, or 'Yes' if A is False. If B is False, they would say the opposite, leaving ambiguity about A's identity.

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