Moderate 0ae

Hmm, intriguing. You implicitly assume n = upper bound of the set of natural numbers ℕ. Thus, it's safe to assume n = +∞. Solving for n you would be left with two real roots, but only for +∞. -∞ would remain unaccounted for, unless I'm too much of a pleb to fathom which steps you skipped while solving an exotic quadratic. Therefore, the analogy does not hold as it is incomplete. Neither to a horseshoe nor to Ouroboros, since an entire extreme remains unaccounted for. But, it's reasonable to believe real world phenomena can be mapped onto the number line. I'll think about other possible ways.