If John is a dinosaur, he’ll say {that a} dinosaur is a dinosaur (true) and an elephant is a dinosaur (lie.) If John is an elephant, he’ll say that an elephant is an elephant (true) and a dinosaur is an elephant (lie.) Therefore all we are able to set up from John says “Zayin is a dinosaur.” is that John is a dinosaur.

There are 16 mixtures of animals for the second half. For instance TD JD MD ED would imply all 4 are dinosaurs. Since they’d every inform the reality, beginning with M saying “E is a D”, you find yourself with T saying “E is a D” which isn’t what was stated, in order that mixture might be dominated out.

There are greater than 1 mixtures that result in the sentence being uttered although: for instance TE JD MD ED would make M say “E is a D” honestly, and J cross that alongside honestly, however then T lie and report the chain ended E. Similarly TD JE MD ED would begin with M saying “E is a D” however then J would lie, claiming M stated E was an E, after which T would cross that alongside honestly. I have not examined all 16 mixtures, however my suspicion is that every time you’ve an odd break up (1-3 or 3-1) of animal sorts, that’s the sentence that might be uttered.

For the third half, the sentence “you lie about your righthand neighbour” entails 3 animals: the speaker S, the topic Y, and the neighbour N. There are 8 mixtures attainable: DDD, DEE, DED, DDE, EEE, EED, EDE, EED. In the 4 circumstances the place Y and N are completely different, Y actually does lie, however provided that S and Y are the identical will S say so. In the opposite 4 circumstances, Y tells the reality, but when S and Y are completely different S will lie about that. So the patterns DEE, DDE, EED, and EDD will result in this sentence. You can get this sample in the event that they sit in pairs – for instance 4 of them as DDEE with the ultimate E “looping again round” and sitting subsequent to the primary D. The complete variety of animals have to be a a number of of 4 to reuse this sample, eg DDEEDDEE and so forth.