Zevachim 109

Sugya Map

Issue

The sugya in Zevachim 109 delves into the intricacies of Hakravah b'Chutz (offering sacrifices outside the Temple courtyard), specifically concerning:

• The range of items for which one incurs liability (from whole burnt offerings to minute parts of meal offerings and libations).
• The status of pesulei kodesh (disqualified consecrated items) – when their offering b'chutz incurs liability.
• The concept of tziruf (combination) of different components of an offering (e.g., meat and emorim – sacrificial portions) to meet the minimum shiur (measure) of a kezayit (olive-bulk) for various chiyuvim (liabilities), including Hakravah b'Chutz, piggul (abhorrent intention), notar (leftover), and tumah (impurity).
• The specific shiur for Hakravah b'Chutz regarding ketoret (incense) and the underlying machloket (dispute) between the Rabbis and Rabbi Eliezer.

Nafka Mina(s)

1. Liability for Hakravah b'Chutz (Leviticus 17:8-9): Determines which acts of offering outside the Temple warrant karet (excision) or korban chatat (sin offering).
2. Validity of Haza'at haDam (Sprinkling of Blood): The sugya discusses the minimum remaining shiur of an offering for its blood to be validly sprinkled, thereby permitting its matirin (permitting factors) to be offered and preventing notar.
3. Liability for Piggul (Leviticus 7:18, 19:7-8): Distinguishes between the intention that renders an offering piggul and the eating of an already piggul offering, affecting tziruf.
4. Liability for Notar (Leviticus 7:15-18, 19:5-8): Differentiates between the shiur required to avoid notar status before haza'ah and the eating of an already notar offering.
5. Liability for Tumah (Leviticus 7:19-21): The principles of tziruf for eating tamei offerings are discussed in parallel.

Primary Sources

• Mishna Zevachim 109a-b.
• Gemara Zevachim 109a-b.
• Leviticus 16:12 ("חופנו"), 17:8-9 ("עולה או זבח... לא יביאנו... לזבוח").
• Mishna Me'ila 15a ("כל הפיגולין מצטרפין", "כל הנותרות מצטרפין").
• Tosefta Me'ila 1:28 (regarding tziruf for olah vs. shelamim).
• Baraita in Zevachim 109a (Rabbi Yehoshua's opinion on tziruf for haza'ah).
• Baraita in Zevachim 109b (on burning ketoret and Rabbi Eliezer's view).

Text Snapshot

The sugya opens with a Mishna that lays the groundwork for Hakravah b'Chutz:

MISHNA: With regard to both fit sacrificial animals, and unfit sacrificial animals whose disqualification occurred in sanctity, i.e., in the course of the Temple service, and one sacrificed them outside the Temple courtyard, he is liable. One who offers up outside the courtyard an olive-bulk made up of the flesh of a burnt offering and of its sacrificial portions is liable. זבחים קט ע"א

The Gemara immediately expands on the scope of liability:

GEMARA: The Sages taught in a baraita: The verse states with regard to offering up outside the courtyard: “That offers up a burnt offering or sacrifice, and he will not bring it to the entrance of the Tent of Meeting, to sacrifice it to the Lord” (Leviticus 17:8–9). From the term “burnt offering” I have derived only that one is liable for offering up a burnt offering... From where do I derive to include that one is liable for offering up outside the courtyard the sacrificial portions of a guilt offering, the sacrificial portions of a sin offering, the sacrificial portions of offerings of the most sacred order, or the sacrificial portions of offerings of lesser sanctity? The verse states: “Sacrifice,” which includes the sacrificial portions of all other offerings that are to be burned on the altar. זבחים קט ע"א

The Gemara continues to derive further inclusions:

From where is it derived to include... the handful taken from a meal offering; the frankincense... the incense... and to include as liable one who pours as a libation three log of wine... The verse states: “And he will not bring it to the entrance of the Tent of Meeting” (Leviticus 17:9), which indicates that with regard to any offering that is fit to be brought to the entrance of the Tent of Meeting to be offered there upon the altar, one is liable for offering it up outside the courtyard. זבחים קט ע"א

The Mishna's statement regarding pesulim is then unpacked:

I have derived only that one is liable for fit offerings; from where do I derive to also include liability for unfit offerings whose disqualification occurred in sanctity?... The verse states: “And he will not bring it to the entrance of the Tent of Meeting, to sacrifice it to the Lord,” which indicates that with regard to any item that is rendered acceptable upon the altar at the entrance of the Tent of Meeting, even if it should not have been brought there ab initio, one is liable for offering it up outside the courtyard. זבחים קט ע"א

Dikduk/Leshon Nuance: The Gemara's derashot meticulously parse the biblical phraseology. "או זבח" (or sacrifice) expands from olah (burnt offering) to other korbanot's emorim. "לא יביאנו" (he will not bring it) serves as a ribbui (inclusion) for items like kometz and nesachim. Finally, "לזבוח" (to sacrifice it) provides the yesod for pesulei kodesh whose pisul occurred b'kodesh – they are deemed "acceptable" by the altar post-factum (im alu lo yeredu). This layering of derashot demonstrates a systematic approach to defining the parameters of the issur.

Later, the sugya confronts the issue of tziruf:

The mishna teaches: One who offers up outside the courtyard an olive-bulk made up of the flesh of a burnt offering and of its sacrificial portions is liable. The Gemara infers: The mishna states that for an olive-bulk combined of the flesh of a burnt offering and of its sacrificial portions, yes, one is liable. By inference, for an olive-bulk combined of the meat of a peace offering and of its sacrificial portions, one is not liable... We learn in the mishna that which the Sages taught explicitly in a baraita: The flesh of a burnt offering and its sacrificial portions combine to form the minimum measure, of an olive-bulk, to render one liable for offering them up outside the courtyard, and to render one liable for eating them due to piggul, notar, or for eating them while he was ritually impure. זבחים קט ע"א

The Gemara immediately identifies a difficulty:

But with regard to liability for piggul, notar, and eating while ritually impure, what is the reason that the baraita differentiates between a burnt offering and a peace offering? And didn’t we learn in a mishna (Me’ila 15a): Anything that is piggul combines together, and anything that is notar combines together, to form the measure of an olive-bulk to render one liable? זבחים קט ע"א-ע"ב

This direct confrontation between the baraita and Mishna Me'ila 15a leads to the Gemara's central terutzim distinguishing between piggul kavana and piggul achila, and notar for haza'ah vs. notar for eating. This is a masterclass in reconciling seemingly contradictory sources through precise definitional distinctions.

Readings

The sugya on Zevachim 109a is rich with conceptual distinctions, particularly concerning the scope of Hakravah b'Chutz and the rules of tziruf for various pesulim. The Rishonim and Acharonim illuminate the underlying principles.

Rashi: Defining "Accepted by the Altar" for Pesulei Kodesh

Rashi offers foundational insights into why pesulei kodesh she'hayah pisulan b'kodesh (disqualified consecrated items whose disqualification occurred within the sacred service) incur liability for Hakravah b'Chutz. The Mishna states this as a fact, and the Gemara derives it from the word "לזבוח" (to sacrifice it) in Leviticus 17:9.

Rashi explains:

מתני' ואחד קדשים פסולין שהיה פסולן בקדש - הואיל ובפנים אם עלו לא ירדו מתקבל בפנים קרינא ביה וחייבין עליהן בחוץ כדיליף בגמ': Mishna: And unfit sacrifices whose disqualification occurred in sanctity – Since inside [the Temple], if they were brought up [onto the altar], they would not be taken down, we consider them as "accepted inside," and one is liable for them outside, as the Gemara derives. Rashi on Zevachim 109a s.v. מתני' ואחד קדשים פסולין

Chiddush: Rashi's chiddush here is the explicit linking of the liability for pesulei kodesh offered b'chutz to the principle of "אם עלו לא ירדו" (if they ascended, they do not descend). This principle, which states that certain disqualified korbanot become irrevocably accepted if placed on the altar, imbues them with a residual sanctity. This residual sanctity, even though they are passul l'chatchila, makes their offering b'chutz conceptually parallel to offering a valid korban. The Gemara's derasha on "לזבוח" is understood by Rashi as encompassing this category, implying that anything that could be accepted by the altar, even post-factum, is what the Torah refers to when speaking of "sacrificing." This shows that Hakravah b'Chutz isn't merely about sacrificing a kosher item, but any item that retains a connection to the altar's power of acceptance.

Rashi: The Initial Kushya on Tziruf for Piggul and Notar

Before the Gemara provides its famous terutz distinguishing piggul kavana from piggul achila and notar for haza'ah from notar for eating, Rashi highlights the strength of the initial kushya. The baraita states that for olah, meat and emorim combine for piggul, notar, and tumah, but implies they don't for shelamim. The Gemara asks, m'eichah tina (why is this so)?

Rashi explains the force of this question:

מאי טעמא - לא מצטרף נמי בשר שלמים עם אימוריו לפיגול ונותר וטמא הא בין בבשר בין באימורין שייך פיגול נותר וטמא כדאמר בפ' בית שמאי (לעיל זבחים דף מג.) דכל שיש לו מתירין בין לאדם בין למזבח חייבין עליו משום פיגול והרי הדם מתיר את הבשר לאדם ואת האימורין למזבח ותנן נמי התם דברים שאין חייבין עליהם משום פיגול כגון הקומץ והלבונה והקטרת שאין להם מתירין אלא הם עצמן מתירין חייבין עליהן משום נותר ומשום טמא וכל שכן אימורין שהפיגול נוהג בהן ומקראי ילפינן להו: What is the reason? Why don't the meat of a peace offering and its sacrificial portions combine for piggul, notar, and tumah? For piggul, notar, and tumah are applicable to both meat and sacrificial portions, as it states in Perek Beit Shammai (Zevachim 43a) that for anything which has permitting factors, whether for man or for the altar, one is liable for piggul. And the blood permits the meat for man and the sacrificial portions for the altar. And we also learned there that for things for which one is not liable for piggul, such as the kometz (handful of meal offering), the frankincense, and the incense, which have no permitting factors, but rather are themselves permitting factors, one is liable for notar and tumah. And certainly, sacrificial portions, in which piggul is applicable, and we derive this from verses. Rashi on Zevachim 109a s.v. מאי טעמא

Chiddush: Rashi's chiddush here is to point to the general principle from Zevachim 43a: Piggul applies to any part of a korban that has matirin (permitting factors). For shelamim, the blood permits both the meat for eating and the emorim for the altar. Since both are subject to piggul, notar, and tumah, it is conceptually difficult to understand why they wouldn't combine. Rashi's analysis lays the groundwork for appreciating the Gemara's sophisticated terutzim, which must explain this apparent anomaly. He underscores that the kushya isn't trivial; it challenges a fundamental understanding of piggul and notar application.

Tosafot: Precision in Citing Sources for Tziruf

Tosafot delves into the Gemara's choice of Mishna Me'ila 15a to pose its kushya regarding tziruf for piggul. The Gemara cites "כל הפיגולין מצטרפין" (all piggul items combine), but Tosafot notes that the reisha of the same Mishna states "קדשי מזבח מצטרפין לפיגול" (altar sacrifices combine for piggul).

כל הפיגולין מצטרפין - תימה דלא מייתי מרישא דקתני (מעילה דף טו.) קדשי מזבח מצטרפין לפיגול ויש לומר דהוה מוקמינן לה בעולה דהא תני נמי מעילה אבל הך משמע טפי: All piggul items combine – It is puzzling why it doesn't bring from the reisha which states (Me'ila 15a) "altar sacrifices combine for piggul." One could say that we would have established that as referring to an olah (burnt offering), for it also teaches me'ilah (misuse of consecrated property). But this [citation, "all piggul items combine"] implies it more broadly. Tosafot on Zevachim 109a s.v. כל הפיגולין מצטרפין

Chiddush: Tosafot's chiddush reveals the Gemara's precise lashon and its implications. By choosing the broader statement "כל הפיגולין מצטרפין," the Gemara ensures that the kushya applies to all types of korbanot, including shelamim, whose meat and emorim have different destinations. If the Gemara had cited "קדשי מזבח מצטרפין לפיגול," one might have dismissed the kushya by arguing that this phrase refers specifically to olah, where all parts are destined for the altar and thus naturally combine. The Gemara's choice of wording forces a more nuanced explanation, leading to the profound distinctions of piggul kavana and piggul achila. This highlights the meticulous nature of Gemara analysis.

Tosafot further questions why the baraita doesn't explicitly mention tumah alongside piggul and notar for combination:

וכל הנותרות מצטרפין - תימה דלא תני כל הטומאות מצטרפין ויש לומר דהוה משמע אפילו שרץ ונבלה ובשר המת והנהו לא מצטרפין כדתנן התם (דף יז:): And all notar items combine – It is puzzling why it doesn't teach "all tumah items combine." One could say that it would have implied even a sheretz (creeping animal), neveilah (carcass), and basar ha'met (meat of a corpse), and these do not combine, as we learned there (Me'ila 17b). Tosafot on Zevachim 109a s.v. וכל הנותרות מצטרפין

Chiddush: This chiddush from Tosafot draws attention to a subtle but critical distinction in halachot tumah. While piggul and notar generally apply broadly to all parts of an offering, tumah has different categories and severities. Specifically, "אבי אבות הטומאה" (primary sources of ritual impurity) like a sheretz or basar ha'met do not combine with other tamei foods to form a kezayit for liability, as taught in Me'ila 17b. By omitting "כל הטומאות מצטרפין," the Mishna avoids a misleading generalization that would contradict specific rules of tumah. This shows the careful precision required when formulating general rules in halacha.

Steinsaltz: Unpacking the Gemara's Resolutions

Rav Adin Steinsaltz's commentary, while modern, provides a concise and clear distillation of the Gemara's complex resolutions, particularly the distinction between piggul kavana and piggul achila.

בשלמא [נניח] לגבי העלאת חוץ, מובן הדבר: עולה שהיא קריבה כליל על המזבח — אין [כן] מצטרפים הבשר והאימורים, שלמים — לא מצטרף הבשר לאימורים, שהרי אינו קרב על המזבח. אלא לענין אכילת פיגול ונותר וטמא מאי טעמא [מה הטעם] אין מצטרפים בשר שלמים ואימוריהם? Granted, with regard to offering up outside the courtyard, it is logical: for a burnt offering, which is entirely consumed upon the altar, yes, the meat and sacrificial portions combine. For peace offerings, the meat does not combine with the sacrificial portions, for it is not offered upon the altar. But with regard to liability for piggul, notar, and eating while ritually impure, what is the reason that the meat of a peace offering and its sacrificial portions do not combine? Steinsaltz on Zevachim 109a

And then, explaining the resolution:

קשיא [קשה] מדין פיגול השנוי במשנה זו על דין פיגול השנוי בברייתא, וכן קשיא [קשה] מדין נותר על דין נותר! The ruling about piggul in the baraita is difficult, as it is contradicted by the ruling about piggul in the mishna, and the ruling about notar in the baraita is difficult, as it is contradicted by the ruling about notar! Steinsaltz on Zevachim 109a

Chiddush: Steinsaltz clearly articulates the Gemara's core kushya and the elegant terutz it offers. He highlights that the distinction for Hakravah b'Chutz (where olah parts combine, shelamim parts don't) is intuitive due to their different destinations. However, for piggul, notar, and tumah, where both parts are individually subject to the issur, the baraita's differentiation for shelamim seems anomalous when compared to Mishna Me'ila 15a. The Gemara's resolution (as summarized by Steinsaltz) that the baraita refers to piggul kavana (the intention that creates the piggul status) and notar before haza'ah (the shiur needed for the blood to be sprinkled) marks a significant chiddush. In these specific contexts, the distinct functions of meat and emorim prevent tziruf. In contrast, Mishna Me'ila 15a refers to piggul achila (eating an already piggul item) and notar after the fact, where any kezayit of the forbidden item combines for liability. Steinsaltz's concise framing helps grasp the sophisticated analytical tool the Gemara employs to resolve textual conflicts.

Friction

The sugya presents several points of conceptual friction, but the most prominent and explicitly articulated kushya is the apparent contradiction regarding tziruf for piggul and notar.

The Strongest Kushya: Baraita vs. Mishna Me'ila on Tziruf

The Gemara highlights a direct clash between a baraita and Mishna Me'ila 15a concerning the combination of sacrificial parts to reach a kezayit for piggul and notar:

מאי טעמא — לא מצטרף נמי בשר שלמים עם אימוריו לפיגול ונותר וטמא? והא תנן: כל הפגולין מצטרפין, וכן כל הנותרין מצטרפין. קשיא מדין פיגול השנוי במשנה זו על דין פיגול השנוי בברייתא, וכן קשיא מדין נותר על דין נותר! But with regard to liability for piggul, notar, and eating while ritually impure, what is the reason that the baraita differentiates between a burnt offering and a peace offering? And didn’t we learn in a mishna (Me’ila 15a): Anything that is piggul combines together, and anything that is notar combines together, to form the measure of an olive-bulk to render one liable? Accordingly, the ruling about piggul in the baraita is difficult, as it is contradicted by the ruling about piggul in the mishna, and the ruling about notar in the baraita is difficult, as it is contradicted by the ruling about notar! Zevachim 109a-109b

Elaboration of the Kushya: The baraita states that for an olah (burnt offering), its meat and emorim (sacrificial portions) combine for Hakravah b'Chutz, piggul, notar, and tumah. But for a shelamim (peace offering), it implies they don't combine for these. While the non-combination for Hakravah b'Chutz is understandable (meat is eaten, emorim are burned), the kushya focuses on piggul, notar, and tumah. Why shouldn't shelamim meat and emorim combine for these issurim? Both are consecrated, both are subject to the issurim of piggul, notar, and tumah individually, and both become permitted through the sprinkling of the blood (haza'ah), as Rashi noted. This seems to contradict the general principle in Mishna Me'ila 15a that "כל הפגולין מצטרפין" and "כל הנותרין מצטרפין"—meaning, any kezayit of piggul or notar combines for liability, regardless of its origin or specific part of the korban.

The Best Terutz: Distinction Between Kavana/Haza'ah and Achila

The Gemara resolves this powerful kushya by making a profound conceptual distinction, a hallmark of lomdus:

לא קשיא. הכא — באכילת פיגול, התם — בפיגול כוונה. הכא — באכילת נותר, התם — בנותר קודם זריקת דמים. That the ruling about piggul in the baraita is contradicted by the ruling about piggul in the mishna is not difficult. Here, in the mishna, the ruling that they combine concerns liability for eating piggul, whereas there, in the baraita, the ruling that only the parts of a burnt offering combine concerns piggul intention. That the ruling about notar in the baraita is contradicted by the ruling about notar in the mishna is not difficult. Here, in the mishna, the ruling that they combine concerns liability for eating notar, whereas there, in the baraita, the ruling that only the parts of a burnt offering combine concerns a case in which only an olive-bulk combined of both the flesh and the sacrificial portions remained from the offering, the rest having been destroyed, before its blood was sprinkled. Zevachim 109b

Elaboration of the Terutz:

1. Piggul:
   • Mishna Me'ila (כל הפגולין מצטרפין): Refers to achilat piggul (eating something that has already become piggul). Once an item is piggul, its status is fixed. Therefore, any two half-sized pieces of different piggul items, or different parts of the same korban that are piggul, will combine to form a kezayit for the chiyuv of eating piggul.
   • Baraita (פיגול כוונה): Refers to piggul kavana (the intention that renders the korban piggul). For an intention to be piggul, it must be an intention to eat or burn a kezayit of the korban after its designated time. The Gemara explains that for shelamim, if one intends to eat half a kezayit of meat and half a kezayit of emorim beyond the time, this intention does not render the korban piggul. This is because the meat and emorim are distinct in their ultimate purpose (eating vs. burning). Only an intention for a full kezayit of meat or a full kezayit of emorim by itself would create piggul. For olah, however, since both meat and emorim are entirely for the altar, the intention to offer a combined kezayit of both after time does create piggul.
2. Notar:
   • Mishna Me'ila (כל הנותרין מצטרפין): Refers to achilat notar (eating something that has already become notar). Similar to piggul achila, once an item is notar, its status is fixed, and any kezayit of notar combines for liability.
   • Baraita (נותר קודם זריקת דמים): Refers to the shiur required before haza'ah (sprinkling of blood) to prevent the korban from becoming notar. The validity of haza'ah depends on a kezayit of the korban remaining. If only half a kezayit of meat and half a kezayit of emorim remain from a shelamim, the blood cannot be sprinkled because these parts do not combine for the purpose of validating the korban due to their differing destinations. If the blood is not sprinkled, the korban cannot be properly offered, and any remaining parts would become notar. For an olah, however, where all parts are for the altar, a combined kezayit of meat and emorim does allow for haza'ah. This interpretation relies on the opinion of Rabbi Yehoshua, which is then brought in a baraita to support this distinction.

This terutz is brilliant because it doesn't dismiss either source but rather demonstrates that they are discussing different stages or aspects of the halacha. The baraita defines the conditions for piggul to be created or for notar to be prevented, while the Mishna Me'ila defines the conditions for liability once the forbidden status (of piggul or notar) has already been established.

Second Point of Friction: Rabbi Eliezer and Ketoret

Another significant point of friction arises in the discussion of ketoret (incense) and Rabbi Eliezer's view on the minimum shiur for Hakravah b'Chutz:

MISHNA: With regard to the handful of a meal offering, the frankincense, the incense, the meal offering of priests, the meal offering of the anointed priest, and the meal offering brought with the libations that accompany animal offerings, in a case where one sacrificed even an olive-bulk from any one of these, which should be sacrificed on the altar, outside the Temple, he is liable, as the burning of an olive-bulk is considered a proper burning. Rabbi Eliezer deems him exempt unless he sacrifices the whole of any one of these items outside the Temple. Zevachim 109b

The Gemara later discusses a baraita about ketoret:

GEMARA: The Sages taught in a baraita: ...one who burns only an olive-bulk of incense outside the courtyard is liable. If one burns half a peras inside the Temple, he is exempt. Zevachim 109b

Rav interprets the "exempt" for burning half a peras inside as the community being exempt from its obligation. Rabbi Zeira then poses a kushya on Rav's statement that "even Rabbi Eliezer concedes" this point:

רבי זירא אמר: קשיא לי, הא קשיא לי: דאמר רב בהא אפילו ר"א מודה. והא ר"א קאמר לאו הקטרה היא! Rabbi Zeira said: If there is something difficult for me with regard to this baraita, this is difficult for me: That which Rav said concerning this baraita: With regard to this halakha, that if a priest burns less than a peras of incense the community fulfills its obligation, even Rabbi Eliezer concedes. Rabbi Zeira explains: This is difficult for me as Rabbi Eliezer rules in the mishna that one who burns an olive-bulk of incense outside is exempt. Effectively, he is saying that burning less than the required amount is not an act of sacrificial burning. How then can he hold that the community fulfills its obligation by the burning of less than a peras? Zevachim 109b

Elaboration of the Kushya: Rabbi Eliezer holds that for Hakravah b'Chutz of ketoret, one is only liable if they burn the whole amount. This implies that burning less than the whole is not considered an act of Hakravah (sacrificial burning). If so, how could he concede that burning less than a peras inside the Temple does fulfill the community's obligation? If it's not a proper Hakravah for Hakravah b'Chutz, it shouldn't be a proper Hakravah for fulfilling the mitzvah l'chatchila.

Best Terutz (Rava's Resolution): Distinguishing Different Ketoret and Derashot

Rabba and Abaye offer terutzim to Rabbi Zeira's kushya, but Rava ultimately refutes Abaye and provides what is often taken as the Gemara's final, most compelling answer:

אלא רבא אמר: לענין קטורת שבפנים, כ"ע לא פליגי דחובה בה כחופנו, ובחוץ מיפלגי. מר סבר: גמרינן פנים מחוץ, ומר סבר: לא גמרינן. Rather, Rava said: Now, if the Rabbis do not derive the measure for liability for offering up outside the Temple courtyard, with regard to other rites performed in the outer sanctum, from incense of the outer sanctum, is it necessary to question whether they would derive the measure for liability for incense of the inner sanctum from incense of the outer sanctum? Certainly, they would not. Zevachim 109b

Rava's terutz is a bit dense and requires careful unpacking based on the preceding discussion and the baraita he cites.

1. Rabba's Initial Terutz: Rabba distinguishes between ketoret shel Mikdash (daily incense in the Sanctuary) and ketoret lifnim (incense in the Holy of Holies on Yom Kippur). For ketoret shel Mikdash, the shiur of a peras is only mid'Rabbanan (rabbinic), so a kezayit is biblically sufficient, and Rabbi Eliezer agrees. The machloket in the Mishna is about ketoret lifnim, where "חופנו" (his handful) is mid'Oraita (biblical). The Rabbis hold "חופנו" is not specific, so kezayit suffices even for lifnim b'chutz; R' Eliezer holds "חופנו" is specific.
2. Abaye's Terutz: Abaye argues that everyone agrees "חופנו" for ketoret lifnim is specific mid'Oraita (due to the term "חוקה"). The machloket in the Mishna is only about Hakravah b'Chutz of ketoret lifnim. The Rabbis derive the shiur for Hakravah b'Chutz of lifnim from ketoret shel chutz (daily incense), where a kezayit is sufficient. R' Eliezer does not make this gezeira shava (exegetical comparison).
3. Rava's Refutation of Abaye and Final Resolution: Rava rejects Abaye's premise. He argues that the Rabbis themselves do not always derive shiurim for Hakravah b'Chutz from other items, even when they are both "outer sanctum" rites. He brings a baraita that states one is exempt for offering less than a kezayit of kometz or emorim, or less than three log of wine/water libation b'chutz. The baraita emphasizes "לזבוח" means a "complete offering." Rava notes that even less than three log of wine still contains several kezaytim. If the Rabbis exempt for less than three log of wine (which is biblically a chiyuv) even though it contains kezaytim, it means they don't simply derive a kezayit liability across all "outer sanctum" offerings from something like ketoret shel Mikdash. Therefore, Abaye's terutz that Rabbis derive lifnim from chutz is flawed.

Rava's Actual Resolution: Rava's final terutz (which is sometimes implicit after rejecting others, or synthesized from the earlier parts of the sugya) likely aligns with Rabba's initial distinction between ketoret shel Mikdash and ketoret lifnim. The baraita where Rabbi Eliezer concedes refers to ketoret shel Mikdash, where the peras is mid'Rabbanan, and thus a kezayit fulfills the ikkar mid'Oraita. The Mishna where Rabbi Eliezer exempts for less than the whole refers to ketoret lifnim, where "חופנו" is mid'Oraita and specific. This allows R' Eliezer to maintain that for lifnim, less than the specific amount is not a Hakravah, while for Mikdash, a kezayit is sufficient. The Gemara's detailed back-and-forth illustrates the rigorous process of finding the precise scope of a machloket and its underlying principles.

Intertext

The sugya on Zevachim 109 is deeply intertwined with various halachic and scriptural concepts.

Leviticus 17:8-9: The Source of Hakravah b'Chutz

וְאִישׁ אִישׁ מִבֵּית יִשְׂרָאֵל וּמִן הַגֵּר הַגָּר בְּתוֹכָם אֲשֶׁר יַעֲלֶה עֹלָה אוֹ זָבַח וְאֶל פֶּתַח אֹהֶל מוֹעֵד לֹא יְבִיאֶנּוּ לְהַקְרִיב אֹתוֹ לַה' וְנִכְרַת הָאִישׁ הַהוּא מֵעַמָּיו. And any man of the house of Israel, or of the strangers that sojourn among them, that offers a burnt offering or sacrifice, and brings it not to the door of the tent of meeting, to sacrifice it unto the LORD; even that man shall be cut off from among his people. Leviticus 17:8-9

This is the foundational text for Hakravah b'Chutz. The Gemara's derashot on "עֹלָה אוֹ זָבַח," "לֹא יְבִיאֶנּוּ," and "לְהַקְרִיב אֹתוֹ" are central to expanding the scope of this issur from merely whole animal offerings to include emorim, kometz, nesachim, and even pesulei kodesh. The linguistic precision of the Torah is meticulously analyzed to define the boundaries of chiyuv. The phrase "וְנִכְרַת הָאִישׁ הַהוּא מֵעַמָּיו" underscores the severity of the transgression, indicating karet (excision), which is one of the most severe punishments in the Torah. This highlights why the Gemara invests so much effort in precisely defining what constitutes Hakravah b'Chutz.

Mishna Me'ila 15a and 17b: The Broader Context of Tziruf

MISHNA: Anything that is piggul combines together, and anything that is notar combines together, to form the measure of an olive-bulk to render one liable. Me'ila 15a

This Mishna is directly quoted by the Gemara in Zevachim 109a to pose the kushya against the baraita's implied non-combination for shelamim meat and emorim. The resolution, as discussed, is a core chiddush of the sugya.

A related discussion in Me'ila 17b is also relevant:

MISHNA: All tumah items combine... sheretz and neveilah and basar ha'met do not combine. Me'ila 17b (as referenced by Tosafot Zevachim 109a s.v. וכל הנותרות מצטרפין)

This Mishna, though not explicitly quoted in Zevachim 109, is implied by Tosafot. It reinforces the idea that while general rules of tziruf exist, specific categories of issurim (like certain types of tumah) may have distinct rules for combination. This nuance prevents overgeneralization and underscores the need for precise categorization in halacha.

Zevachim 43a: The Principle of Piggul and Matirin

דברים שאין חייבין עליהם משום פיגול כגון הקומץ והלבונה והקטרת שאין להם מתירין אלא הם עצמן מתירין חייבין עליהן משום נותר ומשום טמא וכל שכן אימורין שהפיגול נוהג בהן ומקראי ילפינן להו: Things for which one is not liable for piggul, such as the kometz (handful of meal offering), the frankincense, and the incense, which have no permitting factors, but rather are themselves permitting factors, one is liable for notar and tumah. And certainly, sacrificial portions, in which piggul is applicable, and we derive this from verses. Zevachim 43a (as referenced by Rashi Zevachim 109a s.v. מאי טעמא)

This text, specifically from Perek Beit Shammai in Zevachim, provides the broader conceptual framework for piggul. Rashi references it to explain the initial kushya: Piggul applies to any part of an offering that has matirin (permitting factors) for either man or the altar. The blood serves as the matir for both shelamim meat (for eating) and emorim (for the altar). Therefore, piggul should apply to both. This intertextual reference establishes the general rule against which the specific distinctions of Zevachim 109 are measured, highlighting the depth of the Gemara's analytical process. The fact that kometz, levona, and ketoret have no matirin (they themselves are the entire offering to the altar) means piggul does not apply to them, but notar and tumah still do. This distinction is crucial for understanding the scope of each issur.

Sifra, Acharei Mot, Perek 4, Siman 1 (on "חופנו" for Ketoret)

While not explicitly cited in Zevachim 109, the Sifra (the halachic Midrash on Leviticus) extensively discusses the shiurim for various korbanot and sacred acts. The phrase "חופנו" (his handful) regarding the Yom Kippur incense (Leviticus 16:12) is often a point of derasha. The Sifra emphasizes the precision required for this shiur, which underlies the machloket between the Rabbis and Rabbi Eliezer in Zevachim 109b. The Sifra tends to interpret "חופנו" literally, requiring a full chofen (handful) and no less. This supports Rabbi Eliezer's position that for ketoret lifnim, the full measure is indispensable, even for liability b'chutz. The Gemara's discussion about "חוקה" (statute) also points to this strict interpretation of shiurim for certain mitzvot.

Psak/Practice

The sugya in Zevachim 109 translates into several key halachic rulings, predominantly codified by the Rambam.

Hakravah b'Chutz: Shiur and Scope

The central teaching of the sugya regarding Hakravah b'Chutz is that one is liable for offering a kezayit (olive-bulk) of any item that is fit to be brought to the entrance of the Tent of Meeting for sacrificial burning. This includes:

• Whole offerings or their components: Meat of an olah, emorim of any korban, kometz of a mincha, levona, ketoret, and nesachim (wine/water libations – with their specific shiur of three log).
• Pesulei Kodesh: One is liable for pesulei kodesh whose disqualification occurred b'kodesh (in sanctity) and which, if offered b'pnim (inside the Temple), "אם עלו לא ירדו" (if they ascended, they would not descend). This implies a residual sacred character that makes their Hakravah b'Chutz a transgression. Rambam, Hilchot Ma'aseh HaKorbanot 18:13:

  המעלה בחוץ כזית מבשר עולה או מאימורי קדשים או מקומץ וקטורת... או שהעלה פסולי קדשים שהיה פסולן בקודש... חייב. One who offers outside an olive-bulk of the meat of a burnt offering, or of the sacrificial portions of consecrated items, or of the handful of a meal offering and incense... or who offered disqualified consecrated items whose disqualification occurred in sanctity... is liable. This codifies the Gemara's derashot and the Mishna's initial ruling.

Tziruf for Piggul, Notar, and Tumah

The Gemara's nuanced resolution of the kushya between the baraita and Mishna Me'ila 15a is the accepted halacha:

• Piggul Kavana vs. Achilat Piggul:
  • For piggul kavana (the intention that creates piggul status), shelamim meat and emorim do not combine because they have different destinations (eating vs. altar). An olah's parts do combine.
  • For achilat piggul (eating an item already rendered piggul), any kezayit of piggul material combines for liability.
• Notar Kodesh Haza'ah vs. Achilat Notar:
  • For the shiur required to prevent notar before haza'ah (sprinkling the blood), shelamim meat and emorim do not combine. An olah's parts do combine. This follows Rabbi Yehoshua.
  • For achilat notar (eating an item already rendered notar), any kezayit of notar material combines for liability. Rambam, Hilchot Pesulei HaMukdashin 17:1-2:

    כיצד נוהג פיגול? אם שחט קדשים על מנת לאכול כזית מבשרו חוץ לזמנו או לזרוק כזית מדמו חוץ לזמנו... How does piggul apply? If one slaughtered consecrated items with the intention to eat an olive-bulk of its meat beyond its time, or to sprinkle an olive-bulk of its blood beyond its time... The Rambam's wording here implies piggul kavana, and elsewhere he explicitly addresses the tziruf for olah vs. shelamim based on their differing destinations (Hil. Pesulei HaMukdashin 17:13-14). He also codifies the general rule of tziruf for achilat piggul and notar (Hil. Ma'aseh HaKorbanot 18:23).

Ketoret: Rabbi Eliezer vs. Rabbis

The halacha generally follows the Rabbis, that for Hakravah b'Chutz, even a kezayit of ketoret (whether daily or Yom Kippur) incurs liability. However, the exact scope of Rabbi Eliezer's dissent and Rava's resolution is complex. The practical implication is that any kezayit of ketoret burned b'chutz incurs liability, rejecting Rabbi Eliezer's stricter requirement of the "whole" amount.

Meta-Psak Heuristics

1. Distinction of Intent vs. Act: The sugya powerfully illustrates how halacha differentiates between the intention that creates a forbidden status (piggul kavana) and the act of consuming an already forbidden item (achilat piggul). This is a recurring heuristic in halacha, where the criteria for forming an issur may differ from the criteria for violating it once formed.
2. Functional Distinction Drives Halachic Tziruf: The principle that parts combine for shiurim only if they share a common function or destination (e.g., all for the altar, all for eating) is a key takeaway. This means tziruf is not merely about accumulating physical mass but about accumulating functionally equivalent mass.
3. Layered Scriptural Derashot: The Gemara's method of deriving extensive halachot from minimal scriptural phrases ("או זבח," "לא יביאנו," "לזבוח") showcases the rigor and depth of Torah Sheb'al Peh. It teaches that every word and grammatical nuance in the Torah is potentially darshani.

Takeaway

This sugya exemplifies the meticulous process of Torah Sheb'al Peh in defining sacred space and action, particularly through precise linguistic analysis and a sophisticated distinction between the formation of an issur and the consumption of an issur. The differing shiurim and tziruf rules are not arbitrary but rooted in the functional destiny of each part of the korban.