The use of such concepts as randomness and probability is discussed and stochastic decisions occurring in the sacred texts are studied. In connection with probability, the measurements made in antiquity in order to comply with religious demands are also touched on. The cases where cause rather than randomness was recognized to be at work are indicated, and the statements contained in the Talmud and the thoughts of its later commentator, Maimonides, on hypotheses are linked with the appropriate opinions of Isaac (...) Newton and Jakob Bernoulli. (shrink)

From its beginnings religious philosophy confronted the challenge to reconcile Divine or natural determinism with man's moral freedom. In ancient Jewish thought, this gave rise to statistical ideas. In some Rabbinic texts, necessity is seen as inhering in collectives rather than in individuals. This is a statistical conception. Some miracles too were understood as highly improbable events, and remarkable phenomena were distinguished from usual ones. Medieval thinkers amplified and developed these ideas. Providential as well as natural determinism were explained as (...) operating in large numbers of individual acts of free will, an idea later taken up by Kant. (shrink)