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Mishnah Bekhorot 9:5-6

StandardExpert – Beit Midrash AnalysisJanuary 1, 2026

Sugya Map

The intricate sugya of Ma'aser Behema (animal tithe) in Mishnah Bekhorot 9:5-6 lays out a comprehensive framework for this unique mitzvah, touching upon its scope, eligibility criteria, temporal boundaries, and precise procedural details.

Core Issues

  • Scope and Applicability: Delineating the geographical, temporal, and categorical reach of Ma'aser Behema, including its status in Eretz Yisrael and Chutz La'aretz, during and outside Beit HaMikdash times, and the distinction between non-sacred and sacrificial animals.
  • Species and Joining Rules: Examining which animal categories are considered "one" for tithing purposes (e.g., sheep and goats vs. herd and flock), and the conditions under which different groups of animals can be combined for tithing (e.g., distance, year boundaries). A pivotal point is the derasha "כל הצאן אחד הוא" (Leviticus 27:32) overriding a kal vachomer.
  • Ownership and Exemption: Identifying scenarios that exempt one from Ma'aser Behema, such as purchased or gifted animals, and the complex interplay between bakalbon (half-shekel premium) and Ma'aser Behema obligations for brothers and partners.
  • Ineligible Animals: Listing specific categories of animals that cannot be tithed, such as kilayim, tereifa, yotzei dofen, young animals, and yetomim.
  • Temporal Boundaries (גרנות): Establishing the three annual "gathering times" (geranot) for Ma'aser Behema, the differing opinions on these dates, and the halachic implications of these periods, including the prohibition against tithing on Yom Tov.
  • Tithing Procedure: Detailing the l'chatchila (ideal) and bedi'eved (post-facto) validity of the tithing process, including the pen, rod, counting, and marking.
  • Errors in Tithing: Addressing various complex scenarios of mistakes during the tithing process and their consequent halachic statuses, particularly regarding temurah and the sanctity of miscounted animals.

Nafka Mina

  • Practical Halakha for Farmers: Direct impact on when and how a farmer must tithe their animals, which animals are included, and what actions (selling, slaughtering) are permissible before tithing.
  • Definition of Sacred/Profane: Clarifying the precise moment and conditions under which an animal becomes sacred (kadosh), especially in cases of error or procedural deviation.
  • Legal Categorization of Animals: The derasha of "כל הצאן אחד הוא" redefines species grouping for Ma'aser Behema, impacting other areas of halakha that categorize animals.
  • Interplay of Mitzvot: The unique relationship between Ma'aser Behema and bakalbon for partners and brothers highlights how different mitzvot can define and interact with ownership and obligation.

Primary Sources

  • Mishnah Bekhorot 9:5-6
  • Vayikra 27:32 ("וְכָל מַעְשַׂר בָּקָר וָצֹאן כֹּל אֲשֶׁר יַעֲבֹר תַּחַת הַשָּׁבֶט הָעֲשִׂירִי יִהְיֶה קֹדֶשׁ לַה'")
  • Mishnah Shekalim 3:1 (for bakalbon)
  • Mishnah Beitzah 5:2 (for ein makdishin b'Yom Tov)

Text Snapshot

The Mishnah in Bekhorot 9:5-6 is replete with precise legal formulations and nuanced language, often juxtaposing svara (reasoning) with gzeirat ha'katuv (scriptural decree).

Key Lines and Nuances

  • "כבש ועז מועשרין זה מזה" (Bekhorot 9:5): This statement, that sheep and goats are tithed from one another, appears immediately after the kal vachomer argument against it. The phrasing "מועשרין" (are tithed) indicates a definitive halachic reality, reinforced by the subsequent pasuk. The explicit inclusion of "כבש" (sheep) and "עז" (goat) highlights the specific sub-categories of "צאן" (flock) that the Torah unites.

  • "אם חדש וישן שאינן כלאים זה בזה אינן מועשרין זה מזה, כבש ועז שהן כלאים זה בזה אינו דין שלא יהו מועשרין זה מזה?" (Bekhorot 9:5): This kal vachomer (a fortiori argument) is presented as a compelling logical inference. The contrast between "אינן כלאים" and "שהן כלאים" is crucial. It posits that if new and old animals of the same species (no kilayim) cannot be tithed from one another (presumably due to the "year" distinction), then sheep and goats, which do constitute kilayim when interbred, certainly should not be tithed from one another. The Mishnah then immediately counters this with a pasuk, indicating the kal vachomer's ultimate refutation by gzeirat ha'katuv.

  • "תלמוד לומר: 'או הצאן' — כל הצאן אחד הוא" (Bekhorot 9:5, based on Vayikra 27:32): This derasha is the Mishnah's direct response, deriving from the word "או" (or) in the verse "וְכָל מַעְשַׂר בָּקָר וָצֹאן כֹּל אֲשֶׁר יַעֲבֹר תַּחַת הַשָּׁבֶט הָעֲשִׂירִי יִהְיֶה קֹדֶשׁ לַה'" (Leviticus 27:32). The phrase "כל הצאן אחד הוא" (all flock is one) is a fundamental interpretive principle. It signifies a halachic unification of diverse components within the category of "צאן" for the purpose of Ma'aser Behema, overriding natural distinctions that might otherwise lead to separation. The "או" typically implies an option or distinction, but here it is used to teach a kollel (inclusive rule).

  • "שלש גרנות למעשר בהמה: סמוך לפסח, וסמוך לשבועות, וסמוך לסוכות" (Bekhorot 9:6): The term "גרנות" (threshing floors) is an evocative metaphor, as Rambam notes. It likens the maturation and categorization of animals for tithing to the gathering of grain at the threshing floor. The use of "סמוך ל-" (adjacent to) rather than specific dates suggests a flexible period, which is then narrowed by other Tannaim. This term marks the critical junction when animals become subject to specific Ma'aser Behema regulations, particularly regarding sale and slaughter.

  • "ואי אפשר לעשר בי"ט, לפיכך הקדימוהו לכ"ט באלול" (Bekhorot 9:6): This provides the explicit rationale for R' Elazar and R' Shimon's date of 29 Elul instead of 1 Tishrei. The prohibition "אי אפשר לעשר בי"ט" (it is not possible to tithe on a Festival) is a key halachic principle, and the subsequent "הקדימוהו" (they brought it earlier) demonstrates the pragmatic adjustment made to accommodate this prohibition. The dikduk of "אי אפשר" implies a fundamental impossibility or prohibition, rather than mere inconvenience.

  • "העשירי יהיה קודש לה'" (Vayikra 27:32, implicitly referenced in 9:6): This foundational verse dictates the sanctity of the tenth animal. The Mishnah later elaborates on this, stating that even if "לא צבעו אדום, ולא מנהו בשבט... הרי אלו מעושרין" (he did not paint it red, or count it with a rod... these are tithed). This suggests that the kedusha (sanctity) is primarily activated by the act of identification as the tenth in sequence, and certain procedural elements are l'mitzva but not l'ikuv (essential). The dikduk of "יהיה קודש" implies an inherent, automatic consecration.

  • "התשיעי קראו עשירי והעשירי תשיעי והאחד עשר עשירי — שלשתן קודש" (Bekhorot 9:6): This complex scenario involving mislabeling highlights the precise mechanisms of kedusha in Ma'aser Behema. The fact that three animals become sacred due to a series of errors underscores the weight given to the verbal declaration and the sequence, even when incorrect. The detailed breakdown of their subsequent halachic status (9th eaten blemished, 10th tithe, 11th peace offering) reveals the different gevulot (boundaries) of kedusha that can arise from such mistakes.

Readings

The Mishnah's discussion of Ma'aser Behema elicits profound insights from Rishonim and Acharonim, grappling with the interplay between scriptural commands, logical inferences, and practical considerations. We will delve into Rambam's foundational understanding of the geranot, Tosafot Yom Tov's analysis of tithing on Yom Tov, and Rashash's comparative study of joining rules.

Rambam: The Metaphor of the Goren and the Chiyuv Bi'Tvilah

The Rambam, in his commentary on Mishnah Bekhorot 9:5:1 and subsequent halachic codification (Hilchot Ma'aser Behema 1:6-7, 2:1), offers a penetrating explanation of the term "גרנות" (threshing floors) and the fundamental halachic shift these times represent.

Rambam's Text: "שלש גרנות למעשר בהמה בפרס הפסח כו': מה שהוא קורא לפרקים האלו גרנות הוא דרך דומיא לפי שהבהמה הנולדה בשנה זו שהיא דומה לדבר הצומח בשנה זו הואיל והגיע לפרק הזה הרי היא כתבואה שהגיע לגורן שנטבלה למעשר ואין אוכלים ממנה עד שיוציאו המעשרות ג"כ אם הגיע זמן זה אינו מותר לאכול הבהמה ולא למוכרה עד שתתעשר: ופרס הוא הפרק וזמנו ט"ו יום בכל פרק מהג' פרקים וייחדו הזמנים האלה במעשר בהמה כדי שתהא בהמה מצויה לעולי רגלים שאין נכון לבני אדם למכור קודם שיוציא המעשר אע"פ שהוא מותר ואינו אסור אלא בהגיע הפרק מדרבנן כמו שזכרנו ג"כ: ולפי ששמע בן עזאי דברי התנאים ומחלוקתם אחד בחודש אלול אם הוא מסוף הגורן. והב' כמו שאמר ר' אלעזר ור"ש ט"ו מן אלול. השלישי כמו שמגיד ר"מ. אומר דרך ההצלה שיוציא מעשר מכל הנולדים באלול בפני עצמן [מפני עולי רגלים] והלכה כר"ע:" (Mishnah Bekhorot 9:5:1, Rambam commentary)

Translation and Elucidation: "Three threshing floors for animal tithe at the 'פרס הפסח' etc.: That which he calls these periods 'threshing floors' is by way of analogy. For just as produce born in a given year, when it reaches the threshing floor, becomes 'טבלה למעשר' (requiring tithing) and one may not eat from it until the tithes are removed; so too, when these times arrive for animals, it is not permitted to eat the animal or sell it until it is tithed. And 'פרס' is the period, and its duration is fifteen days for each of the three periods. And they designated these times for animal tithe so that animals would be available for pilgrims. For it is not proper for people to sell before removing the tithe, even though it is permitted [to do so earlier]. And it is only forbidden [to sell or eat] once the period arrives, by Rabbinic decree, as we have mentioned. And because Ben Azzai heard the words of the Tannaim and their disagreement – one regarding the month of Elul, whether it is the end of the threshing floor, and the second as R' Elazar and R' Shimon said, fifteen days into Elul, and the third as R' Meir states – he says by way of safeguarding [from doubt] that one should separate tithe from all animals born in Elul separately [for the sake of the pilgrims]. And the halakha is according to R' Akiva."

Rambam's Chiddush: The Rambam's primary chiddush here lies in his articulation of the gerenot as points of chiyuv bi'tevilah for animals. Just as harvested grain must be tithed before consumption, so too animals, once these gerenot (gathering times) arrive, enter a state where they are אסור (forbidden) to be slaughtered or sold until tithed. This prohibition, he clarifies, is mid'Rabanan (Rabbinic), not mid'Oraita (Torah law), distinguishing it from the issur of tevel (untithed produce) which is mid'Oraita. The Torah only requires tithing once ten animals are born; the Rabbis, however, instituted these "geranot" to ensure that animals are tithed in a timely manner, particularly to facilitate olim l'regel (pilgrims) who would need sacrificial animals. The Rambam thus provides both the metaphorical and halachic meaning of "גרנות," underscoring the Rabbinic fence erected around the mitzvah to ensure its proper observance and societal benefit. His ruling that the halakha follows R' Akiva (adjacent to Pesach, Shavuot, Sukkot) provides a clear psak amidst the various Tannaitic opinions.

Tosafot Yom Tov: The Nuance of Ein Makdishin B'Yom Tov

The Tosafot Yom Tov, in his commentary on Mishnah Bekhorot 9:5:3, delves into the Mishnah's rationale for advancing the tithing date from Rosh HaShana to 29 Elul: "ואי אפשר לעשר בי"ט" (it is not possible to tithe on a Festival). He engages with a deeper analysis of kedusha on Yom Tov.

Tosafot Yom Tov's Text: "ואי אפשר לעשר בי"ט . פי' הר"ב משום סקרתא וכו'. כתבו התו' ותיפוק ליה דאין מקדישין בי"ט [כדתנן במשנה ב' פ"ה דביצה] ומסקינן כיון דעשירי קדוש. אפי' לא קרא עשירי [כדלקמן בסוף פרקין] לא מתסר [משום] הקדש בי"ט:" (Mishnah Bekhorot 9:5:3, Tosafot Yom Tov commentary)

Translation and Elucidation: "And it is not possible to tithe on Yom Tov. The Rav [Bartenura] explained: because of sikarta (painting) etc. The Tosafot wrote: Let it be derived that one may not consecrate on Yom Tov [as we learned in Mishnah Beitzah 5:2]. And we conclude: since the tenth is sacred even if he did not call it 'tenth' [as will be explained later at the end of the chapter], it is not tithed because of consecration on Yom Tov."

Tosafot Yom Tov's Chiddush: The Tosafot Yom Tov's chiddush unpacks the precise reason for the prohibition of tithing on Yom Tov. R' Baruch (and the Bartenura who quotes him) suggests it's due to sikarta (painting the tenth animal red), which is a melakha (forbidden labor) on Yom Tov. However, the Tosafot Yom Tov raises a more fundamental objection from the Gemara (Bekhorot 58a): "ותיפוק ליה דאין מקדישין בי"ט" – why not simply say that one may not consecrate anything on Yom Tov, as explicitly taught in Mishnah Beitzah 5:2 concerning hekdesh? The Gemara's (and Tosafot Yom Tov's) answer is crucial: the tenth animal in Ma'aser Behema becomes kadosh (sacred) automatically, by its numerical sequence, even before any verbal declaration or physical act like painting. The Mishnah in Bekhorot 9:6 confirms this: "לא צבעו אדום... הרי אלו מעושרין" (even if he didn't paint it, it is tithed). Therefore, the kedusha itself is not an act initiated by the owner that would fall under "אין מקדישין בי"ט."

The chiddush then is that despite the kedusha being automatic, the act of tithing, which involves separating and identifying the tenth, is considered a form of hekdesh in practice, which is restricted on Yom Tov. It's not the creation of kedusha, but the application of kedusha to a specific object that is forbidden. Furthermore, the Gemara on Bekhorot 58a concludes that the main reason for the prohibition is indeed sikarta (painting) and hakra'ah (declaration) which are forbidden, even though the kedusha itself is automatic. The Tosafot Yom Tov's analysis highlights the Gemara's depth in considering multiple layers of prohibition and ultimately settling on the most direct one, while acknowledging the underlying principles of automatic kedusha.

Rashash: The Uniqueness of Ma'aser Behema's Year Boundary

The Rashash, commenting on Mishnah Bekhorot 9:5:3 ("חמשה לפני ר"ה וה' לאחר ר"ה אינן מצטרפין" - five before Rosh HaShana and five after Rosh HaShana do not join), draws a sharp distinction between the rules of Ma'aser Behema and those governing Challah and other agricultural terumot and ma'asrot.

Rashash's Text: "משנה חמשה לפני ר"ה וה' לאחר ר"ה אינן מצטרפין. וכתב הרע"ב אגב כו' תנא נמי האי. ול"נ דאצטריך טובא לגופה משום דבפ"ד דחלה מ"ד תנן קב חדש וקב ישן שנשכו זב"ז ריש"א יטול מן האמצע. אלמא דמצטרפי אהדדי קמ"ל הכא במע"ב דלא מצטרפי ועמש"כ שם בשלהי המסכת בס"ד:" (Mishnah Bekhorot 9:5:3, Rashash commentary)

Translation and Elucidation: "Mishnah: Five [animals born] before Rosh HaShana and five after Rosh HaShana do not join. And the Rav [Bartenura] wrote that this was taught here incidentally, etc. But it seems to me that it was greatly needed for its own sake, because in Perek 4 of Challah, Mishnah 4, we learned: 'A kav of new [dough] and a kav of old [dough] that were kneaded together, R' Yishmael says he takes from the middle.' This implies that they do join together. Therefore, the Mishnah here teaches us regarding Ma'aser Behema that they do not join, and see what I have written at the end of the tractate, with God's help."

Rashash's Chiddush: The Rashash's chiddush highlights a critical divergence in halachic principles concerning the joining of produce (or animals) across annual boundaries. The Bartenura suggests the Mishnah's statement about animals not joining across Rosh HaShana is merely an incidental illustration of the various opinions on the new year for Ma'aser Behema. However, the Rashash vehemently disagrees, asserting that this statement is "אצטריך טובא לגופה" (greatly needed for its own sake) – it teaches a unique chiddush specific to Ma'aser Behema.

His proof comes from Mishnah Challah 4:4, which discusses new and old dough. There, R' Yishmael rules that if new and old dough are kneaded together, one can take challah from the middle, implying that they do join for the purpose of challah separation, even though they belong to different "years" (or harvest cycles). This is because challah is separated from the עיסה (dough) as a whole, and once mixed, the distinction of "new" and "old" for that mitzvah is blurred.

The Rashash argues that without the explicit statement in our Mishnah Bekhorot, one might mistakenly apply the logic of Challah to Ma'aser Behema. The chiddush of Bekhorot 9:6 is that even if five animals are born just before Rosh HaShana and five just after, they fundamentally belong to different "tithe years" and cannot be joined to reach the minimum of ten for tithing. This underscores the rigidity of the annual boundary for Ma'aser Behema, a distinction more stringent than in other terumot and ma'asrot where mixing can sometimes lead to joining. This implies that the concept of shana (year) for Ma'aser Behema is a more absolute dividing line, preserving the identity of animals born in one tithe year from those born in another, regardless of their physical proximity or the owner's intent to combine them.

Friction

The Mishnah in Bekhorot 9:5 presents a striking internal tension regarding the joining of animals for tithing, which is resolved by a pivotal scriptural derivation. This provides fertile ground for exploring the interplay between human reason (svara) and divine decree (gzeirat ha'katuv).

The Strongest Kushya: The Refuted Kal Vachomer

The Mishnah states: "ושל עזים ושל כבשים מועשרין זה מזה. והלא דין הוא: אם חדש וישן שאינן כלאים זה בזה אינן מועשרין זה מזה, כבש ועז שהן כלאים זה בזה אינו דין שלא יהו מועשרין זה מזה? תלמוד לומר: 'או הצאן' — כל הצאן אחד הוא." (Mishnah Bekhorot 9:5)

The kushya is profound: The Mishnah itself constructs a seemingly ironclad kal vachomer (a fortiori argument) that sheep and goats should not be tithed from one another. The premise is that if "new" and "old" animals – which are not kilayim (diverse kinds) with each other, being the same species (e.g., two lambs, one born in the previous tithe year and one in the current) – cannot be tithed from one another (due to the distinction of shana), then certainly sheep and goats – which are considered kilayim (divergent species) with each other in terms of interbreeding prohibition – should not be tithed from one another. This kal vachomer appears logically robust, leveraging a more significant distinction (kilayim) to argue for a similar non-joining rule.

Yet, the Mishnah immediately dismisses this svara with a pasuk: "תלמוד לומר: 'או הצאן' — כל הצאן אחד הוא" (The verse states: "or the flock" – all flock is one). This explicit scriptural declaration, derived from Vayikra 27:32, asserts that for the purpose of Ma'aser Behema, sheep and goats are considered a single category.

The kushya then is not merely a question of halakha but of metahalacha: How can a seemingly compelling kal vachomer, rooted in logical comparison and even a chumra (the kilayim prohibition), be so swiftly and completely nullified by a gzeirat ha'katuv? Is the kal vachomer inherently flawed, or does the Torah simply override logic with divine fiat? If the kal vachomer is flawed, what is the precise nature of its defect? If it is simply overridden, what does this tell us about the limits of svara in Halakha?

The Best Terutz: Redefining Categories by Gzeirat Ha'Katuv

The resolution lies in understanding the nature of gzeirat ha'katuv as a definitional act, fundamentally altering the categories upon which svara operates. The kal vachomer is not simply overridden; it is rendered inapposite because its underlying premise regarding the halachic categorization of sheep and goats for Ma'aser Behema is incorrect, having been redefined by the Torah itself.

1. The Flaw in the Kal Vachomer's Premise:

The kal vachomer draws an analogy between "new and old" and "sheep and goats."

  • New and Old: These do not join because they belong to different shanim (tithe years), a temporal distinction that is halachically significant for Ma'aser Behema (as highlighted by the Rashash regarding Rosh HaShana). The prohibition of interbreeding is irrelevant here; they are the same species.
  • Sheep and Goats: The kal vachomer argues they should not join because they are kilayim with each other. This is true for the issur kilayim (e.g., mating them, or plowing with them together). However, the pasuk "או הצאן" intervenes to declare "כל הצאן אחד הוא" specifically for Ma'aser Behema. This means that for this particular mitzvah, the Torah itself has grouped sheep and goats into a single, unified category of "flock."

The kal vachomer fails because it attempts to apply a distinction relevant to one halachic domain (e.g., kilayim or shana) to another halachic domain (tithing) where the Torah has explicitly established a different categorization. The error is in assuming that the kilayim distinction for interbreeding necessarily translates into a non-joining rule for tithing. The Torah, through "כל הצאן אחד הוא," signals that for Ma'aser Behema, the genus "flock" supersedes the species distinction between sheep and goats.

As the Gemara in Bekhorot 58a explains, the kal vachomer is rejected because "מי דרשינן ק"ו לדרשא?" (Do we derive a kal vachomer from a derasha?). The premise of the kal vachomer (that new and old don't join) is itself derived from a derasha about the shana boundary. You cannot use one derasha-based rule to generate a kal vachomer that then contradicts another derasha ("או הצאן"). More simply, the Gemara also says: "שאני הכא דאמר קרא או הצאן" (It is different here, for the verse states "or the flock"). This implies a direct override.

2. The Role of Gzeirat Ha'Katuv as a Constitutive Act:

The phrase "כל הצאן אחד הוא" is not merely an exception; it's a constitutive definition. It informs us that for this mitzvah, the Torah views sheep and goats as a single, undifferentiated entity. Once the Torah has defined "צאן" inclusively for tithing purposes, any svara that tries to differentiate between sheep and goats for this mitzvah becomes irrelevant. The kal vachomer is based on a mistaken understanding of the halachic identity of sheep and goats vis-à-vis Ma'aser Behema.

This highlights a fundamental principle in lomdus: svara operates within the framework of categories and definitions established by the Torah. When the Torah provides an explicit definition or grouping ("כל הצאן אחד הוא"), it sets the parameters within which svara can function. Any svara that contradicts this foundational definition is nullified, not because svara is inherently weak, but because it is misapplied to a domain where the Torah has already drawn the lines. The kal vachomer is thus rendered ein kal vachomer mutar l'hashiv not because it's weak logic, but because its initial premise regarding the halachic grouping of sheep and goats for Ma'aser Behema is incorrect in light of the pasuk.

In essence, the Torah teaches us that while sheep and goats are distinct enough to constitute kilayim for breeding, and new and old animals are distinct enough to constitute different "years" for tithing, the particular mitzvah of Ma'aser Behema uniquely unifies all members of the "flock" category into a single, titheable unit. This is a profound statement about the Torah's power to redefine natural categories for its own purposes.

Intertext

The intricate details of Ma'aser Behema in our Mishnah provide rich opportunities for intertextual analysis, revealing deeper principles in Halakha concerning categorization, definitions of species, and the role of temporal boundaries in mitzvot.

1. Kilayim and the Redefinition of Species: The Koy Conundrum

The Mishnah's explicit mention of kilayim is a powerful cross-reference within itself. First, it presents the kal vachomer that sheep and goats should not join for tithing because "שהן כלאים זה בזה" (they are diverse kinds with each other for interbreeding). This is immediately countered by the pasuk "כל הצאן אחד הוא," which unifies them for Ma'aser Behema. Later, the Mishnah states: "הכל נכנסין לדיר להתעשר חוץ מכלאים" (All enter the pen to be tithed, except for an animal crossbred from diverse kinds) (Bekhorot 9:6).

This creates a fascinating tension:

  • Sheep and Goats: Natural species, distinct enough to fall under the prohibition of kilayim (e.g., mating them, Vayikra 19:19), yet are united by scriptural decree for Ma'aser Behema. This indicates that the Torah can, for specific mitzvot, redefine natural biological categories.
  • Crossbred Kilayim: These are actual hybrids, like a koy (often identified as a hybrid of a goat and a deer, or a sheep and a goat, though its exact identity is debated), which is explicitly excluded from Ma'aser Behema.

The nafka mina is profound: The Torah's declaration "כל הצאן אחד הוא" means that even though sheep and goats are "כלאים זה בזה" in terms of the prohibition of interbreeding, they are not considered kilayim for Ma'aser Behema. They are both "צאן." However, a creature that is itself a product of kilayim (a hybrid) is fundamentally excluded. This distinction highlights that the mitzvah of Ma'aser Behema requires a pure, naturally occurring animal that falls clearly into the category of "בקר" or "צאן." A hybrid, by its very nature, blurs these fundamental categories.

This echoes the famous debate surrounding the koy (חיה ובהמה), which has characteristics of both wild and domesticated animals. The Gemara in Bekhorot 8a discusses the koy extensively, particularly concerning its status for Ma'aser Behema. The Gemara asks whether it falls under "בקר" (cattle) or "צאן" (flock). The conclusion is generally that due to its uncertain status, it is treated stringently in various halachot, often not being included where a definitive classification is required. The Mishnah's blanket exclusion of "כלאים" in 9:6 is a clear psak on this: any animal that is a hybrid, regardless of its parentage (even sheep-goat hybrids), cannot be tithed. This reinforces that while the Torah can unify distinct but pure species (sheep and goats), it does not allow for the tithing of impure or mixed creations.

2. The Rigidity of Shana Boundaries: Comparing Ma'aser Behema to Ma'aser Zera'im

The Mishnah states, "חמשה לפני ר"ה וה' לאחר ר"ה אינן מצטרפין" (five before Rosh HaShana and five after Rosh HaShana do not join) for Ma'aser Behema (Bekhorot 9:6). This rigid separation of animals by their birth year, even if there is an insufficient number in either year to form a tithe, stands in contrast to certain rules in Ma'aser Zera'im (tithes of produce).

As the Rashash notes, Mishnah Challah 4:4 (mentioned in the "Readings" section) presents a different dynamic: "קב חדש וקב ישן שנשכו זב"ז ריש"א יטול מן האמצע" (A kav of new [dough] and a kav of old [dough] that were kneaded together, R' Yishmael says he takes from the middle). Here, new and old dough, despite belonging to different harvest years, can join if mixed, allowing for challah to be taken from the combined mass. This is because challah is taken from the עיסה (dough) as a whole, and the act of kneading creates a unified entity.

The distinction between Ma'aser Behema and Challah (and by extension, other Ma'aser Zera'im) highlights a fundamental difference in how Halakha treats the "year" boundary for different mitzvot.

  • For Ma'aser Behema: The identity of the "tithe year" (שנה) for an animal is fixed from its birth and is a non-negotiable parameter for tithing. Animals born in different tithe years are fundamentally distinct entities for this mitzvah, irrespective of physical proximity or mixing. This is tied to the concept of shana as a defining characteristic for the obligation of tithing. The Gemara (Bekhorot 58a) explicitly links this to the verse "מעשר שנה בשנה" (Devarim 14:22), emphasizing the annual nature of tithing.
  • For Challah (and some Ma'aser Zera'im): While a shana boundary generally separates produce, once physically mixed into a single mass (like dough), the halachic identity can coalesce. The focus shifts from the individual origin of the components to the unified state of the final product.

This intertextual comparison reveals that the concept of "year" in Halakha is not monolithic. Its rigidity and implications for joining vary depending on the specific mitzvah and the object being tithed. For Ma'aser Behema, the shana is an unyielding categorical divider, emphasizing the individual obligation of each animal crop within its designated year. This contrasts with Challah, where the physical act of mixing can overcome temporal distinctions, reflecting a different halachic logic regarding the chiyuv (obligation) and hashlamah (completion) of the mitzvah.

Psak/Practice

The complex rules of Ma'aser Behema detailed in Mishnah Bekhorot 9:5-6 find extensive codification in the Rambam's Mishneh Torah (Hilchot Ma'aser Behema, especially chapters 1 and 2), forming the bedrock of practical halakha for this mitzvah. While Ma'aser Behema is not practiced today due to the absence of the Beit HaMikdash and the cessation of animal sacrifices, the principles derived from its laws offer valuable meta-psak heuristics.

Key Halachic Rulings and Practical Implications:

  1. Scope and Applicability: Rambam rules that Ma'aser Behema is a mitzvah that applies both in Eretz Yisrael and Chutz La'aretz, and even in the absence of the Beit HaMikdash (Hilchot Ma'aser Behema 1:1). However, the tithed animal itself, being a kodshim kalim (minor sacrifices), cannot be brought to a Temple-less altar. Instead, it must graze until it develops a mum (blemish) and then be redeemed and eaten by its owner (Hilchot Ma'aser Behema 2:10-12). This unique status highlights the inherent sanctity of the tenth animal, even when its sacrificial purpose cannot be fulfilled.
  2. "כל הצאן אחד הוא": The ruling that sheep and goats are tithed from one another is unequivocally adopted (Hilchot Ma'aser Behema 1:3). This exemplifies how a gzeirat ha'katuv can redefine natural categories for specific mitzvot, a principle relevant in other areas of Halakha.
  3. The Geranot (Gathering Times): The Rambam adopts Rabbi Akiva's opinion regarding the three geranot – adjacent to Pesach, Shavuot, and Sukkot (Hilchot Ma'aser Behema 2:1). He clarifies, as noted in the "Readings," that these times mark when animals become chayav bi'tevilah (obligated to be tithed) and are mid'Rabanan forbidden to be sold or slaughtered before tithing (Hilchot Ma'aser Behema 2:1-2). This illustrates the Rabbinic "fence" (gezeirah) around Torah mitzvot to ensure their proper observance and to facilitate public needs (e.g., olim l'regel).
  4. Prohibition of Tithing on Yom Tov: The Rambam codifies that one may not tithe animals on Shabbat or Yom Tov (Hilchot Ma'aser Behema 2:4). This is due to the prohibition of sikarta (painting) and hakra'ah (declaration) which are forbidden melachot on Yom Tov, as discussed by Tosafot Yom Tov.
  5. Procedure and Bedi'eved Validity: The detailed procedure of the pen, rod, and counting 1-9 then marking the 10th is l'chatchila. However, bedi'eved, if these procedures were omitted (e.g., no red paint, no rod, counted while standing), the tithe is still valid (Hilchot Ma'aser Behema 2:7). This teaches that the ikkar (essence) of the mitzvah is the identification of the tenth through counting, while other elements are l'mitzva min ha'muvchar (for ideal performance). Conversely, taking ten from one hundred without sequential counting is invalid l'chatchila and bedi'eved, though Rabbi Yosei b. Rabbi Yehuda permits it bedi'eved (Hilchot Ma'aser Behema 2:8). The Rambam rules against R' Yosei b. R' Yehuda's leniency.
  6. Errors in Tithing: The complex scenarios of miscounting or animals jumping back are meticulously detailed in Halakha, demonstrating the sensitivity to errors in consecrated items. For example, if a tithed animal jumps back, all animals must graze until blemished, and then consumed by the owner, reflecting a doubt concerning kedushat Ma'aser (sanctity of tithe) that cannot be resolved through sacrifice (Hilchot Ma'aser Behema 2:13).

Meta-Psak Heuristics:

  • Hierarchy of Source: The immediate refutation of a seemingly strong kal vachomer by a gzeirat ha'katuv ("כל הצאן אחד הוא") underscores the principle that scriptural decree holds ultimate authority, even over compelling logical inferences. Svara operates within the parameters set by the Divine word.
  • Rabbinic Enactments: The institution of geranot as Rabbinic prohibitions on sale/slaughter before tithing illustrates the power and purpose of gezeirot in safeguarding Torah mitzvot and facilitating their practice.
  • Essence vs. Form: The bedi'eved validity of tithing despite deviations from the prescribed procedure (e.g., no red paint) teaches that for many mitzvot, there is a core essential act without which the mitzvah is invalid, and auxiliary elements that enhance the mitzvah but are not indispensable.
  • Categorization: The intricate rules of joining (or not joining) animals based on species, year, and physical distance highlight how Halakha constructs its own categories, sometimes overriding natural distinctions (sheep/goats) and sometimes enforcing them rigidly (new/old, kilayim hybrids).

Takeaway

The laws of Ma'aser Behema showcase a sophisticated halachic system where scriptural decree redefines natural categories, svara is meticulously applied yet bounded by divine definitions, and Rabbinic enactments ensure the practical and timely observance of mitzvot. This sugya is a masterclass in the nuanced interplay between Torah Shebichtav and Torah Sheba'al Peh, demonstrating how Halakha navigates the complexities of the physical world through a precise interpretive framework.