Today's daf has a long discussion of how some of the rules of talmudic
reasoning relate to each other, drawing examples from the laws concerning
the temple service. In lieu of that discussion (which does not fit in
the margins of this daf bit), I offer a summary of the rules cited on this daf:
- Kal v'chomer: I learned this as the "how much the moreso" argument,
but it literally means "simple and complex" "lenient and strict"
(thanks for the correction). This is the argument that
says that if such-and-such (simple, minor) behavior is a problem, then
surely thus-and-such amplified version of it is. I understand that
there is support for running the logic in the other direction too, though
I don't know how that works.
- Gezeirah shavah: this is an analogy drawn between two uses of
the same word in torah. If the word means such-and-such when used here,
then it must mean such-and-such when used over here too, and you can
use this reasoning to clarify ambiguous interpretations. I am told that
originally this rule applied only in cases where a word appears exactly
two times, but that doesn't seem to be the case any more.
- Hekkesh: this is an analogy based on facts rather than words,
and is sometimes described as being related to the gezeirah shavah.
If I understand correctly, this is the rule that's in play when you see
reasoning like "if we do such-and-such for a sin offering, then we must
do the same thing for a wholeness offering".
The daf also refers to binyan av, which has something to do with
a passage serving as a standard for interpreting others, but I lack
good examples or a clearer understanding. (There are more rules too;
these are just the ones discussed here.)