A Kestrel K
might be fond of a Lark L
. If this is the case, show that every bird is fond of L
.
We can easily show that this Lark is hopelessly egocentric:
const K = x => y => x;
const L = x => y => x(y(y));
K(L) => L; // Assume `K` is fond of `L`
K(L)(x) => L(x); // Call both with another arbitrary bird, `x`
K(L)(x) => L; // From the Kestrel's definition
L(x) === L; // Hopelessly egocentric!
From there, we've already shown (in #26) that, if a Lark is hopessly egocentric, every bird must be fond of it.