Mishneh Torah, Heave Offerings 13-15

Sugya Map

• Core Issue: The mechanism of Bittul (nullification) for Terumah in mixtures.
• Primary Sources: Numbers 18:29, Mishnah Terumot 5, Talmud Terumot 5:9, Mishneh Torah, Heave Offerings 13-15.
• Nafka Minot:
  • Financial vs. Ritual: Distinguishing between the issur (prohibition) of consumption and the chiyuv (obligation) of payment to the Kohanim.
  • Intentionality: The punitive measures applied when one nullifies d’oraita (Scriptural) prohibitions intentionally.
  • Species Classification: When substances are "of the same kind" (min b'mino) versus "different kinds" (min b'she'eino mino), and the role of taste (ta'am).

Text Snapshot

• Hilchot Terumot 13:1: "When a se'ah of terumah falls into 100 se'ah of ordinary produce... he should separate one se'ah and give it to the priest."
• Leshon Nuance: The Rambam distinguishes here between bittul (nullification of the prohibition) and pitan (the financial obligation). The se'ah is not "returned" to the mixture; rather, the terumah entity is nullified, but the mammon (property value) remains the Kohanim's. The dikduk in the Rambam's phrasing—"he should separate one se'ah"—implies a mandatory corrective act even after the issur has technically evaporated via the 101:1 ratio.

Readings

The Ramban (Milchamot Hashem, Avodah Zarah)

The Ramban focuses on the logic of the 100:1 ratio. He famously argues that while bittul b'rov (nullification by a majority) is the default for most Torah prohibitions, terumah demands 100:1 because terumat ma'aser is itself 1/100 of the crop. The chiddush here is that the ratio is not arbitrary; it is "organic" to the agricultural cycle. The Torah views the status of "holy" as something that requires a specific dilution factor corresponding to the original sanctification process.

The Radbaz (Commentary to Hilchot Terumot 13:1)

The Radbaz addresses the tension between the ritual nullification and the financial debt. He posits that the terumah does not cease to exist in reality; it merely loses its issur status. He explains that the Rambam’s ruling requiring the owner to give a se'ah to the Kohen is a tikkun mammon (financial repair). Even if the mixture is technically permitted for a non-Kohen, the owner has effectively "stolen" the Kohen’s portion by mixing it. The chiddush of the Radbaz is that bittul does not constitute a transfer of ownership, but a loss of the specific issur that keeps the non-Kohen away.

Friction

The Kushya (Ra'avad, Hilchot Terumot 13:10)

The Ra'avad challenges the Rambam’s ruling regarding the repeated removal of terumah from a mixture. The Rambam suggests that one can keep adding terumah and removing it until the proportion reaches a tipping point. The Ra'avad argues: "It is possible that he is removing a se'ah of ordinary produce!" If the owner removes a se'ah that is actually 99% ordinary produce, he has not fulfilled his obligation to clear the terumah, and he might be "nullifying" the terumah in a way that remains prohibited.

The Terutz

The Radbaz defends the Rambam by invoking the principle of b’dieved (post-facto) and the statistical probability inherent in mixing. Because the se'ah removed is a representative sample of the whole, we treat the mixture as a homogenous distribution. In the realm of terumot, the Halacha does not demand mathematical certainty of every kernel; it demands a functional parity. The "mixture" acts as a single legal entity where the se'ah removed is deemed to contain the terumah by virtue of the overall ratio.

Intertext

• Talmud Zevachim 74b: Explains the status of terumah in mixtures compared to other kodshim. The parallel here is the concept of devar shebiminyan (items sold by number/count), which—like the barrels mentioned in Rambam 15:1—are never nullified because their distinct identity is preserved in the eyes of the market.
• Shulchan Aruch, Yoreh De'ah 99:1: The Shulchan Aruch codifies the Rambam's view but includes the Rama’s stringency regarding the inclusion of waste products (bran), demonstrating a shift toward stricter calculations of mass versus quality in later codifications.

Psak/Practice

In contemporary practice, the laws of terumah are primarily d'rabanan (rabbinic) in the Diaspora. The Rambam's meta-psak heuristic—that we are lenient in cases of doubt regarding terumah—is a crucial foundation for managing modern agricultural mixtures. If one finds a mixture where the status of terumah is doubtful, one does not need the rigid 101:1 ratio required for definite terumah. Instead, we apply a "majority" rule, reflecting the Rabbinic nature of the current obligation.

Takeaway

Terumah is not merely forbidden; it is a financial claim held by the Kohanim; therefore, "nullification" removes the issur of consumption but never satisfies the underlying obligation to give the Kohen his due.