A Formal Analysis of Biblical, Talmudic and Rabbinic Logic is an original inquiry into the forms of thought determining Jewish law and belief, from the impartial perspective of a logician. Judaic Logic attempts to honestly estimate the extent to which the logic employed within Judaism fits into the general norms, and whether it has any contributions to make to them.
DIAGRAM 5R. Ishmael’sRule No. 8(a) – “lelamed oto hadavar”– the generalizing version of “lelamed”, may be depicted as follows, since its fourth premise is:All P2 are P1, but not all P1 are P2(predicatal premise).Diagram 5The four premises formally yield the conclusion “Some S1 are P2” (etc.), which is compatible with the two outcomes shown in [...]