Proof of love by mathematical induction:

Let P(n) be the statement that you love your girlfriend on day n, for all n in the set of natural numbers.

So, I'm pretty sure P(1) is true, otherwise she wouldn't be your girlfriend.

So, now we assume some P(k) is true for some k in the set of natural numbers. So given that you spend day k attached to your girlfriend, then you get motivation to be attached to her for day k + 1. Thus P(k) implies P(k + 1).

Thus, P(n) is true for all n in the set of natural numbers by mathematical induction.

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