「高々有限個しか存在しない」 というなら、ABC予想は確率の命題だと思う。その不等式が真である確率密度・質量が無限大に変化していても、その有意確率が限りなく１に近いことがわかれば良い。
It says "There is only a finite number at most",so that I think ABC conjecture is a proposition of probability. Even if the probability density:mass of whether or not the inequality is true changes unlimitedly, it is only necessary to find that the significance probability is infinitely close to 1.