Polysyllogism the Third

Lewis Carroll was a devotee of logic games that explored the boundaries of sense and nonsense. This year's series of Daily Trojan ads features four of his well-known soriteses, which are polysyllogisms, or sequences of syllogisms that provide premises for unexpected conclusions. Depending on the premises, more than one conclusion is often possible.

 

Polysyllogism the Third

I trust every animal that belongs to me.

Dogs gnaw bones.

I admit no animals into my study, unless they will beg when told to do so.

All the animals in the yard are mine.

I admit every animal, that I trust, into my study.

The only animals, that are really willing to beg when told to do so, are dogs.

One answer: All the animals in the yard gnaw bones.

 

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