 Condition (i) and (ii) reflect familiar ideas of voter independence and homogeneity. Condition (iii) captures competence as unbiasedness. Then, by Kolmogorov’s (1930) (strong) Law of Large Numbers, the average estimate \(F(\mathbf{v}_{1},\ldots,\mathbf{v}_{n})\) converges to the true state \(\mathbf{s}\) with probability one as \(n\) tends to  infinity.[27]  This implies asymptotic  infallibility.[28]