We might as well think of grounding geometry or arithmetic upon conjectures. As to the doctrine of chances in the latter, it does not contain probable, but perfectly certain, judgments concerning the degree of the probability of certain cases, under given uniform conditions, which, in the sum of all possible cases, infallibly happen according to the rule, though it is not sufficiently determined in respect to every single chance.
Berebat litzateke posible Geometria edo Aritmetika bat konjeturatan oinarritu nahi izatea; ba Aritmetikaren calculus probabilium-ari dagokionez, horrek edukitzen dituen judizioak ez dira izaten judizio probableak, eta bai erabateko ziurrak kasu jakin batzuek, kondizio homogeno batzuetan, daukaten probabilitate-graduari buruz, zeintzuk, kasu posible guztien baturan, hutsik gabe gertatu behar baitute erregelaren arabera, nahiz eta hau behar hainbat determinaturik egon ez kasu partikular bakoitzari buruz.