Mishnah Arakhin 4:2-3

Sugya Map

The Mishnah in Arakhin 4:2-3 presents a nuanced exploration of erech (valuation vows) and korbanot (offerings), primarily focusing on whose status—the noder (vower) or the ne'erach (subject of the vow)/ mechusar kapparah (one requiring atonement)—determines the obligation. It meticulously delineates the factors affecting the payment amount, including financial status, age, and gender, and critically examines the temporal dimension of these obligations.

• Core Issue: Determining the correct amount for erech and korbanot when the parties involved have differing statuses, and how changes in status over time impact the chiyuv.
• Nafka Minas:
  • Financial Status: Whether the erech payment is based on the noder's means or the ne'erach's inherent value, particularly when a wealthy person vows the valuation of a poor person, or vice-versa.
  • Age/Gender: Whether the erech payment is based on the noder's age/gender or the ne'erach's.
  • Temporal Shifts: The halakhic implications of one's financial status changing between the time of nedirah (vow) and temimah (payment) for both erech and korbanot.
  • Derashot: The methodological debate over deriving halakhot via kal va'chomer versus gezeirah shavah, specifically regarding the "year" categories for erech.
• Primary Sources:
  • Mishnah Arakhin 4:2-3
  • Vayikra 27:8 (ערכין: "ואם מך הוא מערכך")
  • Vayikra 14:21-22 (קרבנות מצורע: "ואם דל הוא ואין ידו משגת")
  • Vayikra 27:3-7 (ערכין: age categories and the term "שנה")

Text Snapshot

The Mishnah opens with a concise statement of principles, then unpacks them with illustrative cases and internal debates.

Mishnah Arakhin 4:2: "השגת יד הנודר, ושנות הנערך. וערכין בנערך, והערכה בשעת הערכה."^Mishnah Arakhin 4:2:1 This foundational phrase sets the stage: affordability (השגת יד) follows the noder, age (שנות) and gender-based valuations (ערכין) follow the ne'erach, and the kohen's assessment (הערכה) is based on the subject's status at the time of valuation.

The Mishnah immediately elaborates on "השגת יד הנודר": "כיצד? עני שהעריך עשיר, נותן ערך עני. ועשיר שהעריך עני, נותן ערך עשיר. אבל בקרבנות אינו כן, שהאומר הרי עלי קרבן מצורע זה, אם היה מצורע עני, מביא קרבן עני. ואם היה עשיר, מביא קרבן עשיר."^Mishnah Arakhin 4:2:1 Here, a critical distinction is drawn. For erech, the noder's financial status dictates the payment, irrespective of the ne'erach's wealth. For korbanot, however, the mechusar kapparah's (leper's) status determines the offering. The dikduk of "אבל בקרבנות אינו כן" signals a fundamental difference in the nature of the obligation.

Rabbi Yehuda HaNasi (referred to as Rabbi) challenges this distinction: "רבי אומר: אני אומר, אף בערכין כן. מאי טעמא? עני שהעריך עשיר נותן ערך עני, שהרי עשיר אינו חייב כלום. אבל עשיר שאמר הרי עלי ערכי, ושמעו עני ואמר הרי עלי מה שאמר זה, נותן ערך עשיר."^Mishnah Arakhin 4:2:1 Rabbi posits that erech can also function like korbanot in certain scenarios, where the chiyuv is effectively tied to the ne'erach's status. His chiddush applies when the noder (poor) undertakes the chiyuv of a ne'erach (wealthy) who already has a chiyuv on himself, or whose chiyuv is the subject of the vow. The phrase "שהרי עשיר אינו חייב כלום" is key; the noder creates a chiyuv where none existed before.

The Mishnah continues with temporal shifts in financial status: "היה עני והעשיר, או עשיר והעני, נותן ערך עשיר. רבי יהודה אומר: אפילו עני והעשיר והעני, נותן ערך עשיר."^Mishnah Arakhin 4:2:2 This section introduces the complex issue of changing financial means. The Tanna Kamma holds that if one was wealthy at any point between nedirah and temimah, they pay the wealthy erech. Rabbi Yehuda extends this even further, saying that once the chiyuv for the wealthy amount is incurred (by becoming wealthy), it is not rescinded by subsequent poverty. This contrasts sharply with korbanot: "אבל בקרבנות אינו כן. אפילו אביו מת והניח לו עשרת אלפים זוז, או שספינתו באה בים ועשרת אלפים זוז באין לו, אין להקדש עליו כלום."^Mishnah Arakhin 4:2:2 For korbanot, the status is determined at the moment of bringing the offering, not by potential future wealth or past affluence. The dikduk of "אין להקדש עליו כלום" emphasizes the absolute nature of this rule.

The Mishnah then clarifies the remaining opening statements: "שנות הנערך כיצד? קטן שהעריך זקן, נותן ערך זקן. וזקן שהעריך קטן, נותן ערך קטן. וערכין בנערך כיצד? איש שהעריך אשה, נותן ערך אשה. ואשה שהעריכה איש, נותן ערך איש. והערכה בשעת הערכה כיצד? העריך פחות מבן חמש, ונעשה בן חמש; פחות מבן עשרים, ונעשה בן עשרים, נותן בשעת הערכה."^Mishnah Arakhin 4:3:1 These sections reinforce that age and gender for erech are determined by the ne'erach, and the specific age category is fixed at the moment of the kohen's assessment.

Finally, the Mishnah delves into the definition of age categories: "יום שלשים, כשלפניו. וחמש שנים, ועשרים שנה, כשלפניהם. שנאמר (ויקרא כז, ז) 'ואם מבן ששים שנה ומעלה', ומקישין אנו ששים שנה לכל השנים: מה ששים שנה כשלפניה, אף חמש שנים ועשרים שנה כשלפניהם. והלא אינו כן? ומה אם ששים שנה, להחמיר עליו, נעשה חמש ועשרים שנה להקל עליו? אמר קרא: 'שנה', 'שנה', לגזרה שוה. מה שנה האמורה בששים שנה כשלפניה, אף שנה האמורה בחמש שנים ובעשרים שנה כשלפניהם, בין להקל בין להחמיר."^Mishnah Arakhin 4:3:2 The Mishnah establishes that an entire "year" (e.g., the fifth year, twentieth year) is treated as the preceding category, meaning one must complete the year to move to the next category. It initially proposes a kal va'chomer from the sixtieth year (where "upward" implies the sixtieth year is still in the previous category, thus stringent). It rejects this, arguing that a kal va'chomer cannot be used to move from stringency to leniency. Instead, a gezeirah shavah ("שנה", "שנה") is employed, establishing that the rule applies universally, "בין להקל בין להחמיר." "רבי אליעזר אומר: עד שיהא בו חודש ויום אחד."^Mishnah Arakhin 4:3:3 Rabbi Eliezer disputes the gezeirah shavah, requiring an additional month and a day to transition to the next age category.

Readings

The Mishnah presents a rich tapestry of halakhic principles and interpretative methodologies, inviting profound engagement from Rishonim and Acharonim. We will delve into the insights of Rambam, Tosafot Yom Tov, and Rashash, each offering a distinct lens on the sugya.

Rambam: Reconciling Divergent Statements in the Mishnah

The Rambam, in his Peirush HaMishnayot on Arakhin 4:2^Rambam, Peirush HaMishnayot, Arakhin 4:2:1, offers a striking interpretation regarding the interplay between Rabbi and the Chachamim concerning the rules of erech and korbanot. The Mishnah states, "רבי אומר: אני אומר, אף בערכין כן... אבל עשיר שאמר הרי עלי ערכי, ושמעו עני ואמר הרי עלי מה שאמר זה, נותן ערך עשיר." This appears to be a clear machloket (dispute) where Rabbi argues that in specific erech cases, the rule does parallel korbanot, contrary to the initial statement "אבל בקרבנות אינו כן."

The Rambam's chiddush is profound: "אין בין רבי וחכמים מחלוקת אלא מבאר לנו איך יהיה הערך ג"כ דומה לקרבן כמו שאמר."^Rambam, Peirush HaMishnayot, Arakhin 4:2:1 s.v. אבל בקרבנות אינו כן הרי שאמר כו': The Rambam asserts that there is no dispute between Rabbi and the Chachamim. Rather, Rabbi is not refuting the initial statement but rather explaining a scenario where erech also resembles korbanot. The Chachamim's initial rule ("עני שהעריך עשיר נותן ערך עני") refers to a case where the noder creates the chiyuv on his own initiative. In such a scenario, the chiyuv is directly tied to the noder's capacity, and the ne'erach is not obligated. Rabbi then provides a case ("עשיר שאמר הרי עלי ערכי, ושמעו עני ואמר הרי עלי מה שאמר זה") where the ne'erach (the wealthy person) already undertook an obligation, and the poor person is simply taking upon himself that pre-existing obligation. In this latter scenario, the chiyuv retains its character as if it were the wealthy person's, thus paralleling the korban rule where the mechusar kapparah's status dictates the offering. The Rambam's point is that Rabbi is not challenging the principle of "השגת יד הנודר," but rather illustrating a specific application where the noder's action binds him to the pre-existing chiyuv associated with the ne'erach, effectively making the erech function like a korban.

This interpretation is crucial because it transforms a seeming machloket into a limmud (teaching) where Rabbi clarifies a nuance within the Chachamim's framework. However, this reading faces immediate tension. The Ra'avad, in his Hassagot on Hilchot Erchin 3:1^Ra'avad, Hassagot on Rambam, Hilchot Erchin 3:1, explicitly states: "אלא שהחכמים חולקים עליו." He clearly views it as a dispute. The Kessef Mishnah on that Rambam (Hilchot Erchin 3:1)^Kessef Mishnah on Rambam, Hilchot Erchin 3:1 notes the Ra'avad's objection and leaves the Rambam's position as "צריך עיון," indicating the difficulty in reconciling the Rambam's Peirush HaMishnayot with the Gemara's apparent treatment of Rabbi's statement as a machloket.

Regarding "היה עני והעשיר... נותן ערך עשיר," the Rambam concludes: "והלכה כחכמים."^Rambam, Peirush HaMishnayot, Arakhin 4:2:1 s.v. היה עני והעשיר או עשיר והעני נותן כו': This refers to the Tanna Kamma's opinion in our Mishnah (Arakhin 4:2) that even if one was initially poor, if they become wealthy before payment, they pay the wealthy erech. The Rambam's lashon here might seem to contradict his earlier statement that "אין מחלוקת" between Rabbi and Chachamim. However, the machloket he refers to here is between the Tanna Kamma (Chachamim) and Rabbi Yehuda regarding "עני והעשיר והעני." The Tanna Kamma says "עני והעשיר או עשיר והעני, נותן ערך עשיר," implying that if one ends up poor after having been wealthy, they would pay the poor amount (if the kohen had not yet assessed). Rabbi Yehuda, however, is more stringent, stating that once wealthy, the chiyuv is irrevocably for the wealthy amount. The Rambam rules with the Chachamim against Rabbi Yehuda in this specific instance.

Tosafot Yom Tov: Deconstructing the "הוא" and Timing of "הערכה"

The Tosafot Yom Tov (TYT) engages deeply with the Mishnah, particularly with the Gemara's underlying derivations and the precise timing of status determinations.

On "אבל בקרבנות אינו כן" (Arakhin 4:2:1):

TYT delves into the Gemara's discussion of the word "הוא" in Vayikra 14:21 ("ואם דל הוא ואין ידו משגת") as the source for the korbanot rule. The Gemara asks: if a poor noder vows for a wealthy leper, why does he bring a poor offering? Perhaps "הוא" refers to the noder (מדירו), implying the noder's poverty matters. TYT explains the Gemara's resolution: "ודלמא עליה דידיה חס רחמנא אמדירו לא דהכתיב הוא אמר רב אדא בר אהבה ואין ידו משגת לרבות את הנודר."^Tosafot Yom Tov on Mishnah Arakhin 4:2:1 s.v. אם היה מצורע עני מביא קרבן עני The Gemara clarifies that "הוא" refers to the leper himself, indicating that God has compassion on the mechusar kapparah, not the noder. The phrase "ואין ידו משגת" (Leviticus 14:21) is then expounded by Rav Adda bar Ahava to include the noder, meaning if the noder is poor, he brings a poor offering. This seems to contradict the initial premise of "אבל בקרבנות אינו כן" where the leper's status is paramount.

TYT resolves this by distinguishing between two cases for korbanot:

1. Poor leper, wealthy noder: The wealthy noder brings a poor offering because "הוא" (the leper) is poor, and God has compassion on him (the leper). This supports "אבל בקרבנות אינו כן" – the leper's status dictates.
2. Wealthy leper, poor noder: The poor noder brings a poor offering because "אין ידו משגת" is expounded to include the noder. This seems to go against "אבל בקרבנות אינו כן" as it now follows the noder's status. TYT concludes that the Mishnah's statement "אבל בקרבנות אינו כן" refers specifically to the first case: a wealthy noder for a poor leper brings a poor offering. This is where the leper's status definitively overrides the noder's wealth. This detailed analysis highlights the precise application of derashot and their contextual implications.

TYT also addresses the Rambam's unique interpretation regarding Rabbi vs. Chachamim. He notes the Ra'avad's disagreement with the Rambam, who asserts "אין מחלוקת בין רבי לחכמים." TYT observes that the Gemara itself, in a later discussion on Rabbi Yehuda's statement ("עני והעשיר והעני"), seems to imply a machloket between Rabbi and Rabbanan. TYT suggests that perhaps the Rambam simply did not have this particular girsa (textual variant) in the Gemara, which would resolve the tension. This is a significant chiddush about textual criticism and its impact on psak.

On "והעשיר" (Arakhin 4:2:2):

Regarding the phrase "היה עני והעשיר, או עשיר והעני, נותן ערך עשיר," TYT clarifies the timing of the change in financial status: "פירש הר"ב קודם נתינה. ונ"ל דר"ל קודם שיערכנו הכהן. דהא קרא דאשר תשיג דילפינן מיניה. יעריכנו כתיב ביה."^Tosafot Yom Tov on Mishnah Arakhin 4:2:2 s.v. והעשיר The Bartenura explains "והעשיר" as before payment. TYT refines this, suggesting it means before the kohen assesses the valuation. His reasoning is based on the verse "אשר תשיג יד הנודר יעריכנו הכהן" (Vayikra 27:8), which connects the noder's means directly to the kohen's assessment. Thus, the financial status relevant for erech is the one at the moment of the kohen's he'aracha. He further supports this by referencing a baraita in Arakhin 18a concerning damim (donating one's worth), where "שעת נתינה" (time of payment) is interpreted as "שעה שהוא בא לב"ד" (when one comes to the court), which for erech would be "ביאתו לכהן." This clarifies a crucial temporal point in the chiyuv.

On "נותן ערך עשיר" (Arakhin 4:2:3):

TYT clarifies the practical implication of "נותן ערך עשיר" for someone who was wealthy but became poor: "שלוקחין ממנו מה שידו משגת וישאר שאר הערך עליו עד שיעשיר וישלים הערך שעליו. הרמב"ם פ"ב מה"ע."^Tosafot Yom Tov on Mishnah Arakhin 4:2:3 s.v. נותן ערך עשיר This means that even if one is currently poor, if the chiyuv was for a wealthy person's erech (e.g., "עשיר שהעריך עני" or "היה עני והעשיר"), the full amount remains an obligation. The immediate payment is limited by their current means, but the balance remains a debt until they become wealthy again. This shows that the chiyuv itself is for the higher amount, even if fulfillment is deferred.

On Rabbi Yehuda's "ואם מך הוא מערכך" (Arakhin 4:2:4):

TYT quotes the Tosafot (not his own commentary) on Rabbi Yehuda's derasha of "ואם מך הוא מערכך" (Leviticus 27:8) to mean "עד שיהא במכותו מתחלתו ועד סופו." This implies that to qualify for the poor person's erech, one must be poor continuously. This is the basis for Rabbi Yehuda's stringent view that "אפילו עני והעשיר והעני, נותן ערך עשיר." The Tosafot (not TYT) raise a kushya: "קשיא לרבי מאי דרשי רבנן בהוא דהכא?" If Rabbi Yehuda (and Chachamim who disagree with him) derive a halakha from "הוא" here, how do they reconcile it with other derashot of "הוא" (e.g., in the context of witnesses, Sanhedrin 3:4)? TYT then clarifies that the Tosafot's kushya might be misplaced, as the Gemara in Arakhin 6:3 (and Rashi there) does provide a derasha for "הוא" regarding witnesses. This again highlights the intricate world of midrash halakha and the potential for conflicting derashot from the same word.

Rashash: Critiquing Rambam and Refining Timing

The Rashash, known for his incisive critiques and meticulous textual analysis, offers further refinements and challenges to the Rishonim.

On Rambam's lashon regarding Korbanot (Arakhin 4:2:1):

The Rashash zeroes in on a subtle point in the Rambam's Peirush HaMishnayot regarding korbanot. The Rambam writes: "אבל היה עני באותו הפרק שנתחייב בקרבן ה"ז יביא קרבן עני ואפי' אחר שהגיעו לרשותו הנכסים. ומשמע דבכל קרבן עולה ויורד הדין כן."^Rashash on Mishnah Arakhin 4:2:1 s.v. במשנה אבל בקרבנות אינו כן אפי' כו'. The Rambam's lashon seems to imply that for korbanot, the status is fixed at the time the chiyuv arises, and subsequent wealth does not increase the obligation. The Rashash finds this problematic, citing a clear Mishnah in Keritot 26a^Mishnah Keritot 6:3, דף כ"ו ע"א: "הפריש לעשירית האיפה, העשיר – יביא עוף; העשיר – יביא כשבה." This Mishnah explicitly states that if one designated an offering for a poor person (e.g., a tenth of an ephah of flour) and then became wealthy, they must upgrade their offering to that of a wealthy person (a bird or a sheep). This directly contradicts the Rambam's apparent implication that for korbanot, subsequent wealth doesn't matter. The Rashash concludes that the Rambam's lashon must be understood as referring to a specific situation where the mechusar kapparah himself is poor, and therefore the chiyuv is inherently limited. This demonstrates the Rashash's rigor in ensuring consistency across different sugyot and his willingness to challenge even the Rambam's precise phrasing.

On R' Avraham ben HaRambam and "הנודר" (Arakhin 4:2:2):

The Rashash addresses a Gemara difficulty related to the lashon of "הנודר" (the vower) in the context of "השגת יד הנודר." The Gemara (as discussed by R' Avraham ben HaRambam and quoted by the Tosafot HaRosh) grapples with how "הנודר" can refer to someone who was wealthy but is now poor, yet still pays the wealthy erech. "ונ"ל משום דמשקל פוֹעֵל לו שני מובנים. הא') לשמוש התואר כמו ראובן הכותב שתוכל לקראו כן אף בשעה שאינו כותב. והב') הוא לבינוני פועל שהוא כותב בשעה שמדברים עליו. וכאן מפרשינן ליה בהב' מובנים ולחומרא."^Rashash on Mishnah Arakhin 4:2:2 s.v. שם ברע"ב ד"ה ה"ג כו' The Rashash explains that the Hebrew po'el (present participle) can have two meanings: a descriptive noun (e.g., "the writer," even if not writing currently) or an active present tense (e.g., "he is writing"). He suggests that in the context of erech, "הנודר" is interpreted in both senses, always stringently. If one was wealthy when taking the vow, they are "the wealthy vower" descriptively, even if they later become poor. This allows the chiyuv to persist for the wealthy amount. This linguistic precision is characteristic of lomdus.

On TYT's Timing of "והעשיר" (Arakhin 4:2:3):

The Rashash revisits TYT's clarification that "והעשיר" (referring to the change in status) means before the kohen assesses the valuation. "ונ"ל דל"ד בזה במחכ"ת דפשוט דאף שהיה עני בשעת הערכת הכהן אם העשיר קודם נתינה נותן ערך עשיר כדמוכח לעיל רפ"ב נתן סלע והעשיר כו'."^Rashash on Mishnah Arakhin 4:2:3 s.v. שם בתוי"ט ד"ה והעשיר כו' The Rashash argues against TYT's strict interpretation. He asserts that even if one was poor at the time of the kohen's assessment, if they become wealthy before payment (נתינה), they are still obligated to pay the wealthy amount. He brings evidence from Arakhin 2:4 ("נתן סלע והעשיר"), which implies that even after a partial payment (based on an initial assessment of poverty), subsequent wealth increases the obligation. This implies a two-stage process: the kohen's initial assessment creates the chiyuv, but the final payment is still subject to the noder's current means. The chiyuv for the erech is for the full amount, but the actual payment is contingent on wealth. This is a subtle yet significant distinction, emphasizing that the chiyuv for the erech is for a fixed amount (e.g., 50 shekels for a man between 20-60), but the timing and affordability of that payment are dynamic. The Rashash connects this to Rashi in Bava Metzia 113b and Lechem Mishneh on Rambam, Hilchot Erchin 3:3, demonstrating the cross-pollination of ideas across sugyot.

Friction

The most potent friction in this sugya stems from the very core of Rabbi's statement in Mishnah Arakhin 4:2: "אני אומר, אף בערכין כן" – "I say, even with regard to valuations it is so." This declaration, ostensibly aligning erech rules with korbanot in a specific scenario, creates a fundamental tension that Rishonim and Acharonim grapple with.

The Strongest Kushya: Rambam's "No Machloket" vs. Gemara and Ra'avad

The central kushya arises from the Rambam's unique interpretation in his Peirush HaMishnayot on Arakhin 4:2. As discussed, the Rambam states unequivocally: "אין בין רבי וחכמים מחלוקת אלא מבאר לנו איך יהיה הערך ג"כ דומה לקרבן כמו שאמר."^Rambam, Peirush HaMishnayot, Arakhin 4:2:1 s.v. אבל בקרבנות אינו כן הרי שאמר כו': The Rambam's chiddush is that Rabbi is not disputing the Chachamim's initial rule ("עני שהעריך עשיר נותן ערך עני") but rather explaining an additional scenario where erech also operates like korbanot. In the Rabbi's case ("עשיר שאמר הרי עלי ערכי, ושמעו עני ואמר הרי עלי מה שאמר זה"), the poor noder undertakes a pre-existing obligation that originated from a wealthy person. Therefore, the chiyuv retains its "wealthy" character, akin to how a korban follows the leper's status regardless of the noder's wealth.

The kushya against the Rambam's position is multi-faceted and formidable:

1. The Lashon of the Mishnah: The phrase "רבי אומר: אני אומר, אף בערכין כן" strongly implies a challange or expansion of the preceding rule, which typically indicates a machloket. The initial statement "אבל בקרבנות אינו כן" sets up a clear distinction, and Rabbi's "אף בערכין כן" appears to directly counter that distinction in certain contexts.
2. The Ra'avad's Explicit Disagreement: The Ra'avad, a primary critic of the Rambam, explicitly states in his Hassagot on Hilchot Erchin 3:1: "אלא שהחכמים חולקים עליו."^Ra'avad, Hassagot on Rambam, Hilchot Erchin 3:1 This is a direct refutation of the Rambam's "no machloket" stance, asserting that a dispute does exist.
3. The Gemara's Apparent Treatment: As noted by the Tosafot Yom Tov (Arakhin 4:2:1), the Gemara later on, in its discussion of Rabbi Yehuda's statement ("עני והעשיר והעני נותן ערך עשיר"), seems to imply a machloket between Rabbi and Rabbanan. If Rabbi's initial statement was merely an explanation, why would the Gemara engage in a discussion that frames it as a point of contention? The Tosafot Yom Tov even suggests that the Rambam might have had a different girsa of the Gemara to maintain his interpretation.
4. The Nature of "אני אומר": This phrase, when used by a Tanna, is often an introduction to a dissenting or alternative view. To interpret it as a non-disputing clarification requires a significant re-reading of Tannaitic style.

In essence, the kushya is: How can the Rambam claim there's no machloket when the textual evidence from the Mishnah's lashon, the Ra'avad's explicit comment, and the Gemara's apparent discussion all point towards a genuine disagreement?

The Best Terutz (or two): Re-evaluating the Nature of the "Chiyuv"

To resolve this kushya, we can offer two complementary approaches.

Terutz 1: Distinguishing between Creation and Assumption of Chiyuv

The Rambam's terutz hinges on a subtle yet fundamental distinction between creating an obligation and assuming an already existing or inherent obligation.

1. Chachamim's Initial Rule ("עני שהעריך עשיר נותן ערך עני"): Here, the poor noder is creating a chiyuv from scratch. There is no pre-existing obligation on the wealthy ne'erach to donate his own valuation. Therefore, the chiyuv is entirely dependent on the noder's capacity ("השגת יד הנודר"). Since the noder is poor, he pays a poor erech.
2. Rabbi's Scenario ("עשיר שאמר הרי עלי ערכי, ושמעו עני ואמר הרי עלי מה שאמר זה, נותן ערך עשיר"): In this case, the wealthy person already declared "הרי עלי ערכי" – establishing an obligation for his own (wealthy) valuation. The poor person then assumes this pre-existing obligation. When one assumes another's obligation, one assumes it with all its original characteristics and parameters. The chiyuv is no longer a creation of the poor noder but an assumption of the wealthy ne'erach's chiyuv. Thus, the payment must reflect the wealthy erech, just as the leper's offering reflects his own status, even if a poor person vows it.

The Rambam's point, therefore, is that the Chachamim's rule is correct for created obligations, and Rabbi's scenario is correct for assumed obligations. Both are true, and one is not contradicting the other; rather, Rabbi is delineating a specific case where the structure of the chiyuv (being an assumption of another's obligation) makes it behave differently from the Chachamim's general rule (which applies to newly created obligations). The "אף בערכין כן" then means: "there are also scenarios in erech where the chiyuv functions like a korban in terms of whose status dictates the amount, specifically when the obligation is assumed rather than created." This is a limmud of a nuanced application, not a rejection of the basic principle.

Terutz 2: The Underlying Nature of Erech vs. Korban

Even if we accept the Ra'avad's view that there is a machloket, the friction highlights a fundamental debate about the nature of erech and korban obligations.

• Chachamim's View (for erech): They emphasize that erech is fundamentally a nedavat mammon – a monetary donation whose value is fixed by the Torah but whose affordability is tied to the noder's current means. The verse "ואם מך הוא מערכך" (Vayikra 27:8) is interpreted as a blanket provision for the noder's capacity. Thus, if a poor person vows a wealthy person's valuation, the chiyuv is immediately scaled down to the noder's capacity because the noder is the one initiating the donation. The chiyuv for the erech amount is created by the neder, but its payment aspect is subject to the noder's financial reality.
• Rabbi's View (for erech in his specific case): Rabbi focuses more on the chiyuv as a fixed, inherent amount, particularly when it's tied to an individual's valuation or assumed from someone else's chiyuv. When a wealthy person says "הרי עלי ערכי," that specific value is established. When a poor person then takes on "מה שאמר זה," he's taking on that specific, fixed value. The chiyuv is less about the noder's personal donation capacity and more about the inherent value or the original obligator's status. This aligns erech more closely with korbanot, which are often chovat gavra – obligations tied to the person needing atonement, whose status dictates the offering regardless of who brings it.

The friction, therefore, is not merely semantic but reflects divergent understandings of the source and character of the chiyuv. Does the chiyuv primarily reflect the noder's personal capacity, or the inherent nature of the object/person being valued, especially when that value is assumed from another? The Rambam's "no machloket" terutz is a sophisticated attempt to unify these perspectives by carefully distinguishing between the origin of the chiyuv.

Intertext

The Mishnah's discussion is deeply rooted in Pesukei Torah and resonates with broader halakhic principles found across Shas and Poskim.

1. The Principle of "השגת יד" (Affordability) – Vayikra 27:8 vs. Vayikra 14:21

The explicit distinction made by the Mishnah between erech and korbanot regarding affordability is directly sourced from two distinct verses in Vayikra.

• For Erech: "וְאִם מַךְ הוּא מֵעֶרְכֶּךָ וְהֶעֱמִידוֹ לִפְנֵי הַכֹּהֵן וְהֶעֱרִיךְ אֹתוֹ הַכֹּהֵן עַל פִּי אֲשֶׁר תַּשִּׂיג יַד הַנֹּדֵר יַעֲרִיכֶנּוּ הַכֹּהֵן."^Vayikra 27:8 This verse clearly states that if the noder (הנודר) is poor, the kohen valuates "עַל פִּי אֲשֶׁר תַּשִּׂיג יַד הַנֹּדֵר" (according to the means of the vower). This is the explicit source for the Mishnah's rule that "השגת יד הנודר" determines the erech amount.
• For Korbanot (Leper's Offering): "וְאִם דַּל הוּא וְאֵין יָדוֹ מַשֶּׂגֶת וְלָקַח כֶּבֶשׂ אֶחָד לְאָשָׁם תְּנוּפָה לְכַפֵּר עָלָיו וְעִשָּׂרוֹן סֹלֶת אֶחָד בַּשֶּׁמֶן לְמִנְחָה וְלֹא יָדָיו וּשְׁתֵּי תֹּרִים אוֹ שְׁנֵי בְּנֵי יוֹנָה אֵת אֲשֶׁר תַּשִּׂיג יָדוֹ אֶחָד חַטָּאת וְאֶחָד עֹלָה."^Vayikra 14:21 The Mishnah states, "אם היה מצורע עני, מביא קרבן עני. ואם היה עשיר, מביא קרבן עשיר." The Gemara (Arakhin 16a-b) derives this from the repeated phrase "הוא" in Vayikra 14:21, indicating that the compassion (חס רחמנא) is for the leper himself. While "ואין ידו משגת" refers to the leper, the Gemara does extend it to the noder in certain circumstances, as explained by the Tosafot Yom Tov. The crucial point is that the primary determinant for the leper's offering is the leper's status, not the person bringing it, hence the Mishnah's "אבל בקרבנות אינו כן." This intertextual comparison highlights the differing focus of the Torah's concern: for erech, it's the giver's capacity; for korbanot, it's the recipient's need for atonement.

2. Temporal Shifts in Obligation – Keritot 26a vs. Arakhin 4:2

The Mishnah's discussion of changing financial status ("היה עני והעשיר, או עשיר והעני, נותן ערך עשיר") for erech and its contrast with korbanot ("אבל בקרבנות אינו כן") finds a critical parallel and point of tension in Mishnah Keritot 6:3.

• Mishnah Keritot 6:3: "הפריש לעשירית האיפה, העשיר — יביא עוף; העשיר — יביא כשבה. הפריש לעוף, העשיר — יביא כשבה."^Mishnah Keritot 6:3, דף כ"ו ע"א This Mishnah directly addresses korbanot that are "עולה ויורד" (variable offerings, whose value depends on one's means). It states that if one sets aside (הפריש) a poor person's offering (e.g., flour for a mincha), but then becomes wealthy before bringing the offering, they must upgrade their offering to that of a wealthy person (a bird, or even a sheep). This clearly shows that for korbanot, the financial status at the time of bringing is paramount, and one must always bring the best offering one can afford at that moment.
• Arakhin 4:2's Contrast: "אבל בקרבנות אינו כן. אפילו אביו מת והניח לו עשרת אלפים זוז, או שספינתו באה בים ועשרת אלפים זוז באין לו, אין להקדש עליו כלום."^Mishnah Arakhin 4:2:2 Superficially, the Mishnah in Arakhin seems to contradict Keritot. Arakhin states that for korbanot, future wealth doesn't matter; the payment is determined by one's current (destitute) status. However, the Rashash (on Arakhin 4:2:1) precisely highlights this tension, arguing that the Rambam's lashon regarding korbanot ("אפי' אחר שהגיעו לרשותו הנכסים") is difficult in light of Keritot. The resolution lies in understanding the specific context of the Arakhin Mishnah. It refers to a mechusar kapparah who is currently poor, even if wealth is imminent. The chiyuv to bring a specific korban is for his current status. The Keritot Mishnah, by contrast, refers to someone who already separated a korban for himself based on his initial poverty, and then his own status changed. The chiyuv in Keritot is dynamic, reflecting the individual's current capacity to bring his own offering. The Arakhin Mishnah, however, focuses on the leper's fixed obligation (based on his poverty) that a noder has assumed, irrespective of the noder's future wealth. This distinction hinges on whether the obligation is one's own (Keritot) or one undertakes for another whose status is fixed (Arakhin).

3. The "והוא" Derasha and Witness Testimony – Sanhedrin 3:4

The Tosafot (quoted by TYT on Arakhin 4:2:4) raise a kushya regarding the derasha of "הוא" in Vayikra 27:8 ("ואם מך הוא מערכך") which Rabbi Yehuda uses. This echoes a famous discussion in Sanhedrin 3:4 concerning the word "והוא" in the context of witnesses.

• Mishnah Sanhedrin 3:4: "היה קרוב ונתרחק, פסול. ר"י אומר: אפילו מתה בתו ויש לו בנים ממנה, הרי זה קרוב... "והוא עד" – עד שיהא כשר מתחילתו ועד סופו."^Mishnah Sanhedrin 3:4 This Mishnah discusses the eligibility of witnesses. The phrase "והוא עד" (Vayikra 5:1) is expounded to mean that a witness must be fit ("כשר") "מתחילתו ועד סופו" (from beginning to end) of the process. This implies that if a witness was initially disqualified (e.g., as a relative) but later became qualified, they are still invalid because they weren't qualified throughout. Rabbi Yehuda, who is often stringent on such matters, extends this.
• Connection to Arakhin: The Tosafot (quoted by TYT) question how the Rabbanan in Arakhin reconcile their interpretation of "הוא" (in Vayikra 27:8 for erech) with other derashot of "הוא" (like in Sanhedrin). Rabbi Yehuda in Arakhin uses "הוא" to be stringent ("עד שיהא במכותו מתחלתו ועד סופו"), just as "והוא עד" is used for stringency in Sanhedrin. This highlights the fluidity and context-dependency of midrash halakha, where the same word can yield different halakhot in different sugyot, or even within the same sugya depending on the Tanna's approach. The Gemara's (and Rishonim's) task is to delineate the precise conditions for each derasha.

Psak/Practice

The principles articulated in Mishnah Arakhin 4:2-3 form the bedrock for halakha regarding erech and korbanot, as codified by the Rishonim and Shulchan Aruch.

1. Affordability and Temporal Shifts in Erech

• Rambam's Codification: The Rambam rules in Hilchot Erchin va'Charamim 3:1-3 that the halakha generally follows the noder's financial status at the time of the kohen's valuation (he'aracha).
  • If a poor person vowed the valuation of a wealthy person, they pay the poor person's erech because "השגת יד הנודר" is determinative.^Rambam, Hilchot Erchin va'Charamim 3:1
  • If a wealthy person vowed the valuation of a poor person, they pay the wealthy person's erech.^Rambam, Hilchot Erchin va'Charamim 3:1
  • Regarding changes in financial status, the Rambam (following the Tanna Kamma against Rabbi Yehuda in Arakhin 4:2) rules: "היה עני והעשיר, או עשיר והעני, אם בשעת ההערכה היה עשיר – נותן ערך עשיר."^Rambam, Hilchot Erchin va'Charamim 3:2 This means if one was wealthy at the time of the kohen's assessment, they pay the wealthy amount, even if they later become poor. If they were poor at the time of the assessment but became wealthy before payment, they still pay the poor amount (as the chiyuv was set by the he'aracha). However, if one was poor at the time of the vow and then became wealthy before the kohen's assessment, they pay the wealthy amount. This implies the he'aracha itself is the critical juncture. The Lechem Mishneh clarifies that if one was poor at the time of he'aracha and the kohen assessed the poor amount, even if he later became wealthy, he pays the poor amount. If he was poor at he'aracha and became wealthy before payment, he still pays the poor amount as his chiyuv was fixed by the he'aracha. This aligns with the Tanna Kamma's reading of "היה עני והעשיר, או עשיר והעני, נותן ערך עשיר" meaning that if at any point of chiyuv (vow or he'aracha) or payment, one was wealthy, the chiyuv is for the wealthy amount. The Rambam's final ruling, "הלכה כחכמים," is against Rabbi Yehuda's extreme stringency of "עני והעשיר והעני."
• Shulchan Aruch: The Shulchan Aruch, Yoreh De'ah 253:1-2 codifies these rules. "המעריך אדם, בין שהעריך את עצמו בין שהעריך את אחרים, אין הערך תלוי אלא בנערך... אלא השגת ידו של הנודר תלויה בו."^Shulchan Aruch, Yoreh De'ah 253:1 He then states, "מי שהיה עני והעשיר, או עשיר והעני, אם בשעת ההערכה היה עשיר – נותן ערך עשיר."^Shulchan Aruch, Yoreh De'ah 253:2 This re-emphasizes the kohen's valuation as the key moment for determining financial status. The Shach (Y.D. 253, sk 4) clarifies that if one was poor at the time of he'aracha and the kohen assessed the poor value, even if one became wealthy afterward, they pay the poor amount. This means the chiyuv for the erech is fixed at the he'aracha.

2. Affordability in Korbanot

• Rambam: In Hilchot Mehusarei Kapparah 3:5, the Rambam rules that for a leper's offering, the korban is determined by the leper's means at the time of bringing the offering, not by the noder's means or future wealth: "האומר הרי עלי קרבן מצורע זה, אם היה המצורע עני מביא קרבן עני, ואם היה עשיר מביא קרבן עשיר. ואפילו אם היה המדיר עשיר והמצורע עני, הרי המדיר מביא קרבן עני."^Rambam, Hilchot Mehusarei Kapparah 3:5 This aligns with the Mishnah's "אבל בקרבנות אינו כן."
• Shulchan Aruch: Yoreh De'ah 256:1, when discussing general nedarim of korbanot, notes the distinction: "כל קרבנות שהם עולה ויורד, אם היה עני והעשיר, או עשיר והעני, הכל לפי שעת הקרבה."^Shulchan Aruch, Yoreh De'ah 256:1 This is a crucial distinction. For one's own variable offering, the status at the time of bringing is decisive (as per Keritot). However, if one vows the korban for a mechusar kapparah, the mechusar kapparah's status at the time of bringing is what counts, as per Arakhin. This subtle difference between chovat gavra (one's own changing obligation) and chovat cheftza (an obligation tied to a specific individual's status) is critical.

3. Age Categories and "שנה"

• Rambam: In Hilchot Erchin va'Charamim 1:11-12, the Rambam codifies the rule derived from the gezeirah shavah of "שנה," that the transition into a new age category for erech occurs only upon completion of the prior year. "והיום השלשים והשנה החמישית והשנה העשרים והשנה הששים, כשלפניהן. שנאמר 'ואם מבן ששים שנה ומעלה', ומקישין אנו ששים שנה לכל השנים... בין להקל בין להחמיר."^Rambam, Hilchot Erchin va'Charamim 1:11-12 He rejects Rabbi Eliezer's view of "חודש ויום אחד."
• Shulchan Aruch: This is also codified in Yoreh De'ah 253:4, explicitly stating that the thirtieth day, the fifth year, twentieth year, and sixtieth year are treated as the preceding period.

Meta-Psak Heuristics:

The sugya provides a powerful heuristic for distinguishing types of chiyuvim:

1. Nature of the Obligation: Is it a nedavat mammon (monetary donation based on capacity) or a chovat gavra/cheftza (obligation tied to a person's state or a fixed value)? Erech leans towards nedavat mammon (hence "השגת יד הנודר"), while korbanot lean towards chovat gavra (the leper's personal need for atonement).
2. Temporal Determination: When does the chiyuv become fixed? Is it at the moment of nedirah, he'aracha, or temimah? The Mishnah shows a nuanced approach, with he'aracha being critical for erech, and temimah (or bringing) being critical for korbanot.
3. Source of the Obligation: Is the chiyuv newly created by the noder, or is it an assumption of a pre-existing obligation? Rabbi's chiddush suggests this distinction can alter the halakha.

Takeaway

The sugya in Arakhin 4:2-3 masterfully delineates the complex interplay of noder, ne'erach, and divine chiyuvim, showcasing how Halakha navigates intent, ability, and the temporal dimension of obligation. The fine distinctions between erech and korban reveal fundamental principles of nedarim and the compassionate yet precise nature of Torah law.