Menachot 16

A calculus of sesame seeds.

talmud_pink
Advertisement
Getting your Trinity Audio player ready...

Two days ago, the Gemara spilled considerable ink discussing a case in which a priest twice intends to eat half an olive bulk of an offering beyond the offering’s allotted eating time. Half an olive bulk is not legally significant. But two half olive bulks might be, depending on the circumstances and which rabbi you ask. On today’s daf, a beraita takes this discussion to its logical extreme:

If one burned a portion of the handful and frankincense of a meal offering the size of a sesame seed with the intent to consume an amount the size of a sesame seed (beyond the prescribed time limit), and he repeated the same action with the accompanying intent until he burned the entire measure of the handful and frankincense, the halakhah in this case is a matter of dispute between Rav Hisda, Rav Hamnuna and Rav Sheshet. One says that the entire meal offering is piggul, and one says that the offering is disqualified but is not piggul, and one says that the offering remains fit.


Obviously, no priest would burn a seed-sized portion of an offering with the intent to consume it beyond the time limit — and then do that over and over again until the entire offering had been burned. The rabbis are here offering a thought experiment that tests the opinions of these rabbis to see how they align with those of their colleagues. But while I can (at least in theory) appreciate the value of that kind of exploration, my mind stubbornly wanders elsewhere.

When I was pregnant, a popular website allowed me to compare the size of my fetus each week to foods in my kitchen: a fig, an apple, a cantaloupe. The first visible measurement on the botanical chart was a sesame seed. Then, as now, the sesame seed is an apt metaphor for a speck — the smallest amount of something that can reasonably be said to exist in the macroscopic world.

In elementary geometry, we learned to calculate the area of rectangles by multiplying length times width. We learned to do the same for other simple shapes, like triangles, by essentially rearranging them into rectangles. But it wasn’t until calculus that we learned to handle more complex shapes, like the area under a curve. These areas are calculated by slicing the complex region into smaller and smaller rectangles and summing the areas of each one. As those rectangles become increasingly small, each one shrinking to a nearly non-existent sliver, the sum of their areas does not (as we might assume) similarly vanish. Rather, the sum draws ever closer to the precise number that describes the area of that shape. The right answer emerges at the limit of that calculation. Complexity and truth are revealed by pushing to seemingly absurd extremes.

Calculus was invented a millennium after the Talmud was written, but this beraita about the priest with serial intentions to consume portions of a meal no larger than a sesame seed strikes me as a kind of surprising precursor, a brief moment to explore this mind-bending idea: Tiny, infinitesimal bits really can add up to something significant — be it area or sin.

Read all of Menachot 16 on Sefaria.

This piece originally appeared in a My Jewish Learning Daf Yomi email newsletter sent on January 27, 2026. If you are interested in receiving the newsletter, sign up here.

Advertisement
Advertisement
Advertisement

Discover More

Menachot 36

An all-day mitzvah?

Menachot 35

Rules for tefillin.

Menachot 34

More rules for mezuzah.

Advertisement