THREE GODS WERE THERE TRUE, FALSE AND RANDOM. THE TRUE ALWAYS SPEAKS TRULY, THE FALSE ALWAYS SPEAKS FALSELY, THE RANDOM SPEAKS TRUE OR FALSE IS A COMPLETELY RANDOM MATTER. U HAVE TO ASK THREE YES NO QUESTION TO IDENTIFY THE THREE GODS THE GODS KNOW ENGLISH BUT WILL ANSWER IN THEIR OWN LANGUAGE. 'YES' MEANS WHAT U DON'T KNOW, 'NO' MEANS WHAT ALSO U DON'T KNOW!! WHAT THREE YES NO QUESTION U MUST PUT!!!
ANSWER THE QUESTION CORRECTLY OTHERWISE IT WILL BE REPORTED!!!!!!
Answers
Answer:
Boolos provided his solution in the same article in which he introduced the puzzle. Boolos states that the "first move is to find a god that you can be certain is not Random, and hence is either True or False".[2] There are many different questions that will achieve this result. One strategy is to use complicated logical connectives in your questions (either biconditionals or some equivalent construction).
Boolos' question was to ask A:
Does da mean yes if and only if you are True, if and only if B is Random?[2]
Equivalently:
Are an odd number of the following statements true: you are False, da means yes, B is Random?
It was observed by Roberts (2001) and independently by Rabern and Rabern (2008) that the puzzle's solution can be simplified by using certain counterfactuals.[5][7] The key to this solution is that, for any yes/no question Q, asking either True or False the question
If I asked you Q, would you say ja?
results in the answer ja if the truthful answer to Q is yes, and the answer da if the truthful answer to Q is no (Rabern and Rabern (2008) call this result the embedded question lemma). The reason this works can be seen by studying the logical form of the expected answer to the question. This logical form (Boolean expression) is developed below ('Q' is true if the answer to Q is 'yes', 'God' is true if the god to whom the question is asked is acting as a truth-teller and 'Ja' is true if the meaning of Ja is 'yes'):
How a god would choose to answer Q is given by the negation of the exclusive disjunction between Q and God (if the answer to Q and the nature of the god are opposite, the answer given by the god is bound to be 'no', while if they are the same, it is bound to be 'yes'):
¬ ( Q ⊕ God)
Whether the answer given by the god would be Ja or not is given again by the negation of the exclusive disjunction between the previous result and Ja
¬ ( ( ¬ ( Q ⊕ God) ) ⊕ Ja )
The result of step two gives the truthful answer to the question: 'If I ask you Q, would you say ja'? What would be the answer the God will give can be ascertained by using reasoning similar to that used in step 1
¬ ( ( ¬ ( ( ¬ ( Q ⊕ God) ) ⊕ Ja ) ) ⊕ God )
Finally, to find out if this answer will be Ja or Da, (yet another) negation of the exclusive disjunction of Ja with the result of step 3 will be required
¬ ( ( ¬ ( ( ¬ ( ( ¬ ( Q ⊕ God) ) ⊕ Ja ) ) ⊕ God ) ) ⊕ Ja )
This final expression evaluates to true if the answer is Ja, and false otherwise. The eight cases are worked out below (1 represents true, and 0 false):
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Answer:
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