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Problem

If there is a Lark in the forest, it follows that every bird is fond of at least one bird. Why?

Solution

We start from the definition of the Lark:

L(x)(y) => x(y(y));

Now, for y, swap in L(x):

L(x)(L(x)) => x(L(x)(L(x)));

Voilà! x is fond of L(x)(L(x)). (Smullyan notes that this general fact will be useful for later problems.)

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