Mishnah Arakhin 4:4-5:1

Sugya Map

The mishnah in Arakhin 4:4-5:1 meticulously unpacks the halakhic nuances of erchin (valuations) and nekevot (assessments), exploring the interplay of the vower (ma'arich) and the subject of the vow (ne'erach).

• Core Issue: Defining the parameters that determine the monetary value of erchin and nekevot when various factors (financial status, age, gender) are in flux, and how these obligations compare to korbanot (offerings).
• Nafka Mina(s):
  • Affordability (Hashagat Yad): Whose financial status dictates the payment—the ma'arich's or the ne'erach's? And at what point in time (vow vs. payment) is this status determined?
  • Age and Gender (Shanim v'Erachot): Whose age/gender is determinative—the ma'arich's or the ne'erach's? When is the age fixed (vow vs. payment)? What are the precise cut-off points for age categories?
  • Scope of Vows: Can one vow the erech or shum of a limb, or only a whole person? What about a portion of a person?
  • Heir's Obligation: Do heirs inherit the obligation to pay erchin or nekevot if the vower or subject dies?
  • Enforcement & Coercion: How do the courts enforce obligations for erchin, nekevot, and korbanot? The paradigmatic case of gittin as an analogy for coerced ratzon.
• Primary Sources:
  • Mishnah Arakhin 4:4-5:1
  • Vayikra (Leviticus) 27:1-8 (laws of erchin), 27:23 ("כערכך יקום")
  • Vayikra 14:10-22 (leper's offerings)
  • Bamidbar (Numbers) 3:15, 18:16 (redemption of bekhor and Levites)
  • Mishnah Bekhorot 8:1 (age for bekhor redemption)

Text Snapshot

The mishnah opens by laying out four foundational principles concerning erchin, immediately highlighting internal distinctions:

• "השגת יד בנידר כיצד? עני שהעריך את העשיר, נותן ערך עני. ועשיר שהעריך את העני, נותן ערך עשיר." (M. Arakhin 4:4)
  • The first principle establishes that hashagat yad (affordability) is determined by the financial status of the ma'arich (vower). The prefix "בנידר" (by the vower) signals this focus. The examples clarify: a poor person valuing a rich person pays based on their own poverty; a rich person valuing a poor person pays based on their own wealth.
• "והשנים בנידר כיצד? ילד שהעריך את הזקן, נותן ערך זקן. וזקן שהעריך את הילד, נותן ערך ילד." (M. Arakhin 4:4)
  • Here, "בנידר" (by the vower) initially seems to apply, but the examples immediately contradict this, showing that age is determined by the ne'erach (subject of the vow). This is a textual curiosity, as the heading does not match the content, a point noted by commentators like Mishnat Eretz Yisrael. The text should likely read "בנערך" here.
• "וערכים בנערך כיצד? איש שהעריך את האשה, נותן ערך אשה. ואשה שהעריכה את האיש, נותנת ערך איש." (M. Arakhin 4:4)
  • This explicitly states that gender-based valuations ("ערכים") are determined by the ne'erach. The phrase "בנערך" (by the subject of the vow) is consistent with the subsequent examples.
• "והעריך בזמן הערך כיצד? העריכו פחות מבן חמש ונעשה יתר על בן חמש... נותן כזמן הערך." (M. Arakhin 4:4)
  • This principle states that the age for valuation is fixed at the time of the vow (bizman ha'erech), regardless of subsequent changes in age.

The mishnah's precise choice of "בנידר" vs. "בנערך" and the subsequent examples reveal a complex, often counter-intuitive, system. The tension between the apparent heading "והשנים בנידר" and its content is particularly sharp, suggesting a potential editorial hand or perhaps a deeper conceptual pivot.

Readings

Rambam, Commentary on Mishnah Arakhin 4:4:1

Rambam, in his commentary on M. Arakhin 4:4:1, provides a succinct yet authoritative elucidation of the Mishnah's discussion on age categories and the Gezeirah Shavah. He writes:

השנים בנידר כיצד ילד שהעריך את הזקן נותן כו': יום שלשים כלמטה ממנו שנת חמשים כו': מן הכתוב בתורה יתבאר לך כל זה וכבר זכרנו אותו בתחלת המסכת שערך בן חמשה פחות מן עשרים וערך בן עשרים פחות מערך בן ששים וערך מי שעבר ששים פחות ערך ממי שלא הגיע לששים ולפיכך כשאנו אומרים ששנת ששים כלמטה הימנה הרי זה מוסיף בערך לפי שהוא נ' שקלים והענין יתבאר לך כשתעיין מה שזכרנו בתחלת המסכת ור' אליעזר אומר נאמר בשנת ששים ומעלה ונאמר בפדיון בכור מבן חדש ומעלה כמו שהוא שם חודש ויום א' שבחדש ויום אחד חייב בפדיון בלי ספק לדברי הכל כמו שנתבאר בשמיני מבכורות כן מעלה הנאמר בשנת ששים עד שיוסיף על ששים חדש ויום אחד ולמד שנת חמש ושנת עשרים משנת ששים בג"ש כמו שעשה ת"ק ואין הלכה כר' אליעזר: (Rambam, Mishnah Arakhin 4:4:1)

Translation: "How are the years determined by the vower? A youth who valuated an elder gives [the valuation of an elder], etc. The thirtieth day is like that which precedes it, the fiftieth year, etc. All this will be explained to you from what is written in the Torah, and we already mentioned it at the beginning of the tractate, that the valuation of one five years old is less than twenty, and the valuation of one twenty years old is less than sixty, and the valuation of one who passed sixty is less than one who has not reached sixty. Therefore, when we say that the sixtieth year is like that which precedes it, this increases the valuation, because it is fifty shekels. The matter will be clear to you when you review what we mentioned at the beginning of the tractate. And Rabbi Eliezer says: It is stated 'in the sixtieth year and upward' (Leviticus 27:7), and it is stated concerning the redemption of a firstborn 'from a month old and upward' (Numbers 18:16), just as there (for a firstborn) a month and a day in the month means one day [after the month] is certainly obligated in redemption according to all, as explained in the eighth [chapter] of Bekhorot, so too, the 'upward' stated concerning the sixtieth year means until he adds a month and a day to sixty. And he learns the fifth year and the twentieth year from the sixtieth year through a Gezeirah Shavah, as the Tanna Kamma did. But the halakha is not according to Rabbi Eliezer."

Chiddush of Rambam: Rambam's primary chiddush here is his reinforcement of the Tanna Kamma's position regarding the age cut-offs, particularly the principle of "כלמטה הימנו" (like the period preceding it). He connects this explicitly to the textual derivations from Parshat Erchin (Leviticus 27) and his prior commentary in Arakhin 1:1. Crucially, he rejects R' Eliezer's more stringent interpretation of "ומעלה" as requiring "a month and a day," aligning with the normative halakha that the exact year/month is counted as part of the preceding category. He clarifies that for the 60th year, "כלמטה הימנה" means paying 50 shekels (the 20-60 category), rather than 15 shekels (the 60+ category), which is indeed "stringent" in this specific case, aligning with the mishnah's question.

Tosafot Yom Tov, Commentary on Mishnah Arakhin 4:4:1

Tosafot Yom Tov engages in a critical textual analysis, particularly regarding the source for hashagat yad in erchin. On the phrase "נותן כזמן הערך" (gives according to the time of the valuation), referring to the ma'arich's financial status:

נותן כזמן הערך. פי' הר"ב דכתיב כערכך יקום. תמיהה לי דהאי קרא לא בערך נפשות כתיב אלא בערך מקדיש שדה אחוזתו. ובשדה אחוזה אין דין השגת יד. אלא גרעון כסף. כפי השנים שעברו משנת היובל. ונ"ל דלהכי דרשינן לקרא לענין ערך נפשות. משום דכערכך יקום כוליה מיותר הוא. דלא הל"ל אלא אם משנת היובל יקדיש שדהו. והוא מושב לשלמעלה הימנו זרע חומר שעורים בחמשים שקל כסף שזהו אם משנת היובל יקדיש. ואם אחר היובל יקדיש וגו'. ולמאי אצטריך למכתב כערכך יקום. אלא אם אינו ענין למקדיש שדה אחיזתו דלא אצטריך כלל. תנהו ענין למעריך נפשות: (Tosafot Yom Tov, Mishnah Arakhin 4:4:1)

Translation: "He gives according to the time of the valuation. R' Ovadia of Bartenura explained that it is written 'according to your valuation he shall stand' (Lev. 27:23). I have a difficulty: this verse is not written concerning the valuation of souls, but concerning one who consecrates his ancestral field. And regarding an ancestral field, there is no law of hashagat yad (affordability), but rather a reduction of money according to the years that have passed since the Jubilee year. It seems to me that it is for this reason that we expound the verse concerning the valuation of souls, because the entire phrase 'according to your valuation he shall stand' is superfluous. For it should have only said, 'If he consecrates his field from the Jubilee year... he shall present it before the priest, and the priest shall value it for him according to the seed sown in it, a homer of barley seed for fifty shekels of silver' (Lev. 27:16), which is [the law] if he consecrates from the Jubilee year. And if he consecrates after the Jubilee, etc. So why was it necessary to write 'according to your valuation he shall stand'? Rather, if it is not relevant to one who consecrates an ancestral field, where it is not needed at all, apply it to one who values souls."

Chiddush of Tosafot Yom Tov: The central chiddush here is the justification for applying the verse "כערכך יקום" (Lev. 27:23) to erech nefashot (valuation of souls) despite its contextual placement within the laws of sadeh achuzah (ancestral fields). Tosafot Yom Tov, building on the Gemara (Arakhin 18a), argues that since hashagat yad is not applicable to ancestral fields (which have their own depreciation rules), the phrase "כערכך יקום" would be mi'yutar (superfluous) in that context. Therefore, by the principle of ein mikra yotzei midei pshuto but also ein mikra yotzei midei derasho (a verse never loses its plain meaning, but also never loses its expounded meaning), it must be expounded to teach a halakha elsewhere—namely, that the erech of a person is determined by the ma'arich's financial status, and that this status is fixed at the time of payment (bish'at nefika). This is a masterful example of derash justifying a halakha where the literal text seems to be silent.

Mishnat Eretz Yisrael, Commentary on Mishnah Arakhin 4:4:1-5

Mishnat Eretz Yisrael offers a meta-analysis of the Mishnah's structure and conceptual framework:

והשנים בנידר כיצד – "השנים בנידר" היא הכותרת במשנה א, ועתה המשנה באה לפרשה כמו משנה ב. כפי שאמרנו במשנה א כל משניות הפרק מ"נידר" עד כאן הן מה שהמשנה הראשונה בפרק א כינתה "נערך". ילד שהעריך את הזקן נותן ערך זקן – כאמור בראשית פרק א התורה קבעה תעריפים שונים המבוססים על מינו של הנערך ועל גילו. התעריף הקובע הוא גילו של הנערך בזמן ההערכה. ... וערכים בנערך כיצד – במינוח זה המשנה מתייחסת למינו של הנערך. ... והעריך בזמן הערך כיצד העריכו פחות מבן חמש ונעשה יתר על בן חמש ... נותן כזמן הערך – "זמן הערך" הוא המינוח המקביל לשאלה של "היה עני והעשיר" שנידונה במשנה ב. גם כאן ערכו של הנערך יכול לרדת או לעלות. גם כאן נבחרת הגישה הפורמליסטית, בניגוד למשנה ב שבחרה גישה המעדיפה את טובת המקדש וקובעת שבמקרה של שינוי מצב יש לשלם את הערך הגבוה מבין השניים. ייתכן שאין זו מחלוקת פורמלית בין המשניות, אבל בוודאי יש כאן גישות רעיוניות שונות. בבבלי (יח ע"א) מובאת דרשה שתמיד נותן "כשעת הערך". אפשר שמשפט זה מתייחס לא רק למשנתנו אלא לכל ההלכות, כולל אלו שבמשנה ב לעיל. (Mishnat Eretz Yisrael, Arakhin 4:4:1-5)

Translation: "How are the years determined by the vower? 'The years by the vower' is the heading in Mishnah 1, and now the Mishnah comes to explain it, like Mishnah 2. As we said in Mishnah 1, all Mishnayot in the chapter from 'by the vower' until here are what the first Mishnah in Chapter 1 called 'by the valued.' A youth who valued an elder gives an elder's valuation - as stated at the beginning of Chapter 1, the Torah set different tariffs based on the sex and age of the valued person. The determining tariff is the age of the valued person at the time of the valuation... And valuations by the valued, how so? With this terminology, the Mishnah refers to the sex of the valued person... And he valued at the time of valuation, how so? If one valued [another] when less than five years old and he became more than five years old... he gives according to the time of the valuation - 'time of the valuation' is the term parallel to the question of 'was poor and became rich' discussed in Mishnah 2. Here too, the value of the valued person can decrease or increase. Here too, a formalistic approach is chosen, in contrast to Mishnah 2, which chose an approach that favors the Temple's benefit and rules that in case of a change in status, the higher of the two values must be paid. It is possible that this is not a formal dispute between the Mishnayot, but there are certainly different conceptual approaches here. In the Bavli (18a) a derasha is brought that one always pays 'according to the time of the valuation.' It is possible that this statement refers not only to our Mishnah but to all the halakhot, including those in Mishnah 2 above."

Chiddush of Mishnat Eretz Yisrael: This commentary highlights a crucial conceptual tension within the Mishnah's approach. It notes that for age and gender, the Mishnah adopts a "formalistic" approach, fixing the value at the time of the vow based on the ne'erach's status. However, for the ma'arich's financial status (Mishnah 4:2, not 4:4), the rule is to always pay the higher amount (if one became rich) or the lower amount (if one was poor when valuing a rich person, but the vower pays their own status), which tends to favor the Temple. The chiddush lies in identifying these two distinct "conceptual approaches" within the Mishnah – one formalistic, the other "benefiting the Temple." It also astutely points out the textual inconsistency in the heading "והשנים בנידר," suggesting it should logically be "בנערך" to align with the halakha that age is determined by the subject, not the vower. This offers a structural and philosophical lens through which to understand the Mishnah's varied rulings.

Friction

The Clash of Temporal Determinism: Hashagat Yad vs. Shanim

The most striking kushya arising from M. Arakhin 4:4 lies in the apparent inconsistency regarding the temporal determination of the erech amount. The Mishnah states:

1. "השגת יד בנידר... אם היה עני והעשיר, או עשיר והעני, נותן ערך עשיר." (M. Arakhin 4:4, earlier part of the mishnah, referring to the ma'arich's financial status)
   • This implies that if the ma'arich was poor when he vowed and later became wealthy, he pays as a wealthy person. This favors the Temple, as the payment is determined at the later, more affluent time. The Gemara (Arakhin 18a) clarifies that this is bish'at nefika (at the time of extraction/payment).
2. "והעריך בזמן הערך כיצד? העריכו פחות מבן חמש ונעשה יתר על בן חמש... נותן כזמן הערך." (M. Arakhin 4:4, latter part)
   • This explicitly states that age is determined bish'at ha'erech (at the time of the vow). If one valued someone less than five (5 shekels) and the subject aged beyond five (10 shekels) before payment, one still pays the lower amount of 5 shekels. This ruling, in contrast to financial status, does not favor the Temple and seems to fix the obligation to the moment of the vow.

Kushya: Why does the Mishnah adopt a "pro-Temple" approach (later, higher value) for financial status, but a "formalistic" approach (earlier, potentially lower value) for age? This seems contradictory. Mishnat Eretz Yisrael briefly touches on this as "different conceptual approaches," but the gemara must offer a more direct reconciliation.

Terutz: The Gemara in Arakhin 18a directly addresses this by distinguishing the underlying nature of these two factors:

מאי טעמא? אמר קרא (ויקרא כז, כג) כערכך יקום, כשעת הערכה. (Arakhin 18a) Translation: "What is the reason? The verse states 'according to your valuation he shall stand' (Lev. 27:23) – [this refers to] the time of the valuation."

This derasha establishes that the fixed tariff based on age and gender (the core erech) is determined at the moment the vow is made (bish'at ha'arech). This is because the erech itself, as specified in the Torah (e.g., "איש מבן עשרים ועד בן ששים חמישים שקל כסף"), is an objective, inherent value tied to the ne'erach's status at that specific point. Once that objective value is fixed, it doesn't change.

However, hashagat yad (affordability) is not an inherent quality of the ne'erach or a fixed tariff, but rather a mitzvah on the ma'arich to give, limited by their financial capacity. The Gemara (Arakhin 18a) further explains:

אמר רבי יוסי ברבי חנינא מניין שאם היה עני והעשיר, עשיר והעני, נותן ערך עשיר? תלמוד לומר כערכך יקום, כשעת נפקה. (Arakhin 18a) Translation: "Rabbi Yosei bar Rav Chanina said: From where do we know that if one was poor and became rich, or rich and became poor, he gives the valuation of a rich person? The verse states 'according to your valuation he shall stand' (Lev. 27:23) – [this refers to] the time of extraction/payment."

The Gemara thus applies "כערכך יקום" twice, with different interpretations:

1. Regarding the fixed value (age/gender), "יקום" means it stands as it was at the moment of the vow (bish'at ha'arech).
2. Regarding hashagat yad (the ma'arich's ability to pay), "יקום" means the obligation stands and is assessed at the moment it is extracted (bish'at nefika). This ensures that the Temple receives the maximum possible within the ma'arich's current means, as the hashagat yad is a function of the ma'arich's ability to perform the mitzvah of giving, not an inherent value of the object.

This terutz elegantly resolves the kushya by differentiating between the nature of the erech itself (fixed at the vow) and the ma'arich's capacity to fulfill the obligation (dynamic until payment). The Tosafot Yom Tov's chiddush on "כערכך יקום" being mi'yutar for sadeh achuzah provides the necessary textual justification for this dual derasha.

Intertext

Coerced Ratzon in Gittin and Korbanot (M. Arakhin 5:1)

The mishnah concludes with a fascinating parallel between coercing someone to bring a korban and coercing a husband to issue a get (divorce document):

"כופין אותו עד שיאמר רוצה אני. וכן אתה אומר בגיטי נשים: כופין אותו עד שיאמר רוצה אני." (M. Arakhin 5:1) Translation: "One coerces him until he says: 'I want.' And likewise, you say the same with regard to women's bills of divorce: one coerces him until he says: 'I want.'"

This is a foundational principle in halakha for understanding ratzon (will) and mesirut moda'ah (declaration of coercion). While a korban (especially olah and shelamim as discussed here) must be brought lirztzono (of one's own volition) (Vayikra 1:3), and a get must be given mida'ato (with his consent) (Devarim 24:1), the Sages established that in certain circumstances, coercion does not invalidate the act, provided the coercer acts with the intention of making the coerced person want to do the right thing.

The Gemara (Gittin 88b) elaborates:

בעל כרחו מאי הוי? אמר רבי יוחנן: מגרש בעל כרחו, וגט כשר! אמר הקב"ה: מאי אעביד ליה? אמר הקב"ה: ופדיון בכור מבן חדש תפדה, מה להלן כופין אותו עד שיאמר רוצה אני, אף כאן כופין אותו עד שיאמר רוצה אני. Translation: "How can it be against his will? Rabbi Yochanan said: One divorces against his will, and the get is valid! The Holy One, blessed be He, said: What shall I do to him? The Holy One, blessed be He, said: And the redemption of a firstborn 'from a month old you shall redeem' (Numbers 18:16), just as there one coerces him until he says 'I want,' so too here one coerces him until he says 'I want.'"

The Gemara in Gittin, drawing a different Gezeirah Shavah from pidyon bekhor, posits that halakhic ratzon is not necessarily internal, unadulterated desire, but rather an outward expression of assent under appropriate pressure. The ratzon elicited through beit din's coercion is considered a legitimate ratzon because the husband should want to fulfill the mitzvah (e.g., to divorce his wife when obligated by halakha). This principle applies to cases where beit din compels a get, such as when a husband refuses to provide support or has a severe physical defect.

Heirs' Obligation: Erech vs. Shum (M. Arakhin 4:5)

The mishnah also distinguishes between erech and shum regarding heirs' obligations:

"האומר הרי עלי ערכי ומת, יורשיו נותנים. הרי עלי שומי ומת, אין יורשיו נותנים, שאין אומד לדאבדין." (M. Arakhin 4:5) Translation: "One who says: 'It is incumbent upon me to donate my valuation,' and then dies, his heirs must give it. But one who says: 'It is incumbent upon me to donate my assessment,' and then dies, his heirs need not give it, as there is no monetary value for the dead."

This distinction reveals a fundamental difference in the nature of these two vows:

• Erech: A fixed, objective sum specified by the Torah (e.g., 50 shekels for a man aged 20-60). It's a debt owed to the Temple that becomes an inheritable liability. It's a chov (debt) like any other.
• Shum (Assessment): A subjective, dynamic appraisal of a person's worth if sold as a slave in the marketplace. This value is inherently tied to the person's living state, their health, skills, and potential. Once the person dies, this "market value" ceases to exist. "אין אומד לדאבדין" – there is no assessment for things that are lost or dead.

This principle extends to other areas of halakha, such as nezek (damage) and tza'ar (pain). For example, if someone injures another, the nezek (monetary damage) is a fixed value and can be claimed by heirs, but tza'ar (pain and suffering) is personal and cannot be assessed for a deceased individual (Bava Kamma 87a). Similarly, the Gemara (Bava Kamma 85b) discusses boshet (shame) as something that cannot be valued for the dead. The shum of a living person is akin to these subjective assessments that are extinguished with the person's demise.

Psak/Practice

The halakha l'ma'aseh largely follows the Tanna Kamma of our Mishnah, as codified by the Rambam.

1. Affordability (Hashagat Yad): The financial status of the ma'arich (vower) determines the payment, and this is assessed bish'at nefika (at the time of extraction or payment), not bish'at ha'arech (at the time of the vow). Thus, if one was poor and became rich, they pay as rich; if rich and became poor, they pay as rich (because the initial obligation was high, and hashagat yad would only reduce a high obligation, not increase a low one). This is the view of the Tanna Kamma and Rabbi, and the halakha is like Rabbi Yehuda HaNasi.
   • Rambam, Hilchot Erchin 1:8: "עני שהעריך את העשיר נותן ערך עני, ועשיר שהעריך את העני נותן ערך עשיר. והוא שיהיה עני בשעת הערכה ובשעת נפקה." (A poor person who valued a rich person pays the valuation of a poor person, and a rich person who valued a poor person pays the valuation of a rich person. This is if he was poor at the time of valuation and at the time of extraction.) He then clarifies that if one changes status, it's according to the higher value, or the status at nefika.
2. Age and Gender: The age and gender of the ne'erach (subject of the vow) determine the fixed valuation, and this is determined bish'at ha'arech (at the time of the vow). Subsequent changes in age do not alter the already fixed erech.
   • Rambam, Hilchot Erchin 1:1: "ערך בני אדם קצוב בתורה... וכל אלו הערכין אינם תלויין אלא במעריך, ואין בנערך אלא השנים והנקבות בלבד." (The valuation of people is fixed in the Torah... and all these valuations are dependent only on the vower, and on the subject of the vow only the years and the females.)
   • Rambam, Hilchot Erchin 1:10: "יום השלשים כו' שנת חמש כו' שנת עשרים כו' כלמטה הימנו, ואין הלכה כר' אליעזר." (The thirtieth day, etc., the fifth year, etc., the twentieth year, etc., are like the period preceding them, and the halakha is not like Rabbi Eliezer.) This rejects R' Eliezer's "month and a day" stringency.
3. Coercion: The principle of ko'afin oto ad sheyomar rotzeh ani (coercing him until he says "I want") is a cornerstone of halakha, particularly in gittin. It establishes that under certain halakhically mandated circumstances, external coercion can create valid ratzon.
   • Rambam, Hilchot Gittin 2:20: "מי שהדין נותן שכופין אותו לגרש, ואינו רוצה, כופין אותו בבית דין של ישראל בכל מיני כפייה עד שיאמר רוצה אני." (One whom the law dictates that we coerce him to divorce, and he does not want, we coerce him in an Israelite court with all types of coercion until he says 'I want.')

Takeaway

The Mishnah in Arakhin reveals a sophisticated legal framework distinguishing between objective, fixed obligations (erchin based on age/gender at the vow) and dynamic, subjective ones (hashagat yad based on financial status at payment, or nekevot assessed on a living person). The concept of ratzon under coercion further highlights Chazal's profound understanding of human agency and the role of the legal system in enforcing moral and halakhic imperatives.