Mishnah Arakhin 2:1-2

Sugya Map

Issue

Mishnah Arakhin 2:1-2 presents a rich tapestry of halakhot united by a common structural motif: the establishment of minimum and maximum numerical thresholds for various mitzvot and dinim. The overarching theme explores the quantitative boundaries that define chiyuv, p'tur, tum'ah v'taharah, and the proper performance of Avodah in the Beit HaMikdash. This Mishnah serves as a paradigm for understanding the precise, measured nature of halakhic obligation.

Nafka Mina(s)

• Arakhin (Valuations): Determining the minimum payment for an impoverished person's valuation and the maximum for any valuation. The machloket between Rabbi Meir and the Rabbis regarding partial payment.
• To'ah (Uncertain Niddah/Zavah): Establishing the range of clean days required to resolve uncertainty in a woman's niddah or zavah status, impacting her permissibility to her husband and eligibility for korbanot.
• Nega'im (Leprosy): The minimum and maximum quarantine periods for nega'im (leprosy marks), crucial for determining taharah or tum'ah.
• Calendar Establishment: The minimum and maximum number of full months established in a year, a fundamental aspect of Kiddush HaChodesh and ibbur shana.
• Kodshim Consumption: The time window for eating Shtei HaLechem and Lechem HaPanim by Kohanim.
• Milah (Circumcision): The earliest and latest permissible days for brit milah.
• Temple Music & Service: Quantitative requirements for musical instruments (lyres, flutes, trumpets), the number of Levites on the duchan, and the role of minor Levites.
• Pesachim (Lambs): The minimum number of inspected lambs kept in the Lishkat HaKevasim.

Primary Sources

• Mishnah Arakhin 2:1-2
• Vayikra 27:8 (for Arakhin)
• Vayikra 15:25-30 (for Zavah)
• Vayikra 13:4-5, 14:8 (for Nega'im)
• Bamidbar 10:2, 10 (for trumpets)

Text Snapshot

The Mishnah opens with the dinim of Arakhin: "אֵין בַּעֲרָכִין פָּחוֹת מִסֶּלַע, וְלֹא יָתֵר עַל חֲמִשִּׁים סֶלַע."^1^ "How so? If one gave one sela and became wealthy, he is not required to give anything more... If he gave less than a sela and became wealthy, he is required to give fifty sela..."^2^ The Mishnah then introduces a machloket: "הָיוּ בְּיָדוֹ חֲמִשָּׁה סְלָעִים, רַבִּי מֵאִיר אוֹמֵר: אֵינוֹ נוֹתֵן אֶלָּא אֶחָד. וַחֲכָמִים אוֹמְרִים: נוֹתֵן אֶת כֻּלָּן."^3^ And reiterates the opening statement: "אֵין בַּעֲרָכִין פָּחוֹת מִסֶּלַע, וְלֹא יָתֵר עַל חֲמִשִּׁים סֶלַע."^4^

Dikduk/Leshon Nuance

The repeated phrase "אֵין בַּעֲרָכִין פָּחוֹת מִסֶּלַע, וְלֹא יָתֵר עַל חֲמִשִּׁים סֶלַע" is a key textual feature. Its initial appearance serves as a general statement, while its repetition after the machloket of R. Meir and Rabanan is particularly striking. This suggests a specific halakhic function for the reiteration, likely to solidify the psak or clarify a nuance, a point which the Gemara and Rishonim address. The usage of "פתח" (literally 'opening' or 'door') in the context of a to'ah for resolving uncertainty is also noteworthy, signifying a period of waiting or purification.

Readings

Rambam, Pirush HaMishnayot on Arakhin 2:1

Rambam's commentary provides a foundational explanation for the dinim of Arakhin and To'ah presented in the Mishnah. His chiddush lies in meticulously detailing the underlying halakhic principles and the practical application of the safek (doubt) in the case of the to'ah.

Regarding Arakhin, Rambam explains the scriptural basis for the minimum and maximum payments: "כבר ידעת מד"ת שגדול שבערכים נ' סלעים ופחות שבהן ג' סלעים זהו למי שידו משגת לתת אותו ערך שנתחייב אבל אם היה עני זה שהעריך פוסקין לו כאשר תשיג ידו שנאמר ואם מך הוא מערכך וגו'"^5^. He clarifies that while the standard Arakhin range from 3 sela to 50 sela, an impoverished person pays what they can afford, based on Vayikra 27:8. However, there as a floor of one sela even for the poorest: "אבל אין פוסקין על שום אדם בערך פחות משקל ואפילו היה בתכלית העניות שנאמר וכל ערכך יהיה בשקל הקודש"^6^. This explains the Mishnah's first case: if one paid a sela and then became wealthy, they are patur, as they fulfilled the minimum. If they paid less than a sela, it's as if they paid nothing, and if they become wealthy, they owe the full 50 sela. Rambam also clarifies the Rabbis' position in the machloket: "הם אומרים נותן את כלם ואפי' הוא עני ואין לו זולתם הואיל והוא חייב בהן גובין אותו ממנו"^7^. The repetition of "אין בערכין..." then serves to establish this halakha according to the Rabbis, that all available assets (up to 50 sela) are taken, not just a sela.

For the to'ah, Rambam offers a detailed exposition of the "פתח" calculation, a period of uncertainty resolution. He explains the distinction between niddah (7 days) and zavah (blood outside niddah days, within the 11 yemot hazavah). A zavah ketanah sees blood 1-2 days; a zavah gedolah sees it 3 consecutive days and is obligated in a korban. The "פתח" is the time a woman waits after bleeding stops to establish her niddah cycle. Rambam meticulously outlines how the "פתח" duration changes based on the number of days she saw blood, from 17 days (for 1-3 days of bleeding) down to 7 days (for 13 days of bleeding), linking these calculations to the 11 yemot hazavah and the niddah cycle. He notes that for a safek zavah, the korban is not eaten, but for a definite zavah (whose "פתח" is 7 or 8 days), the korban is eaten, as stated in a beraita cited in the Gemara^8^. His chiddush here is the systematic unraveling of a complex halakhic calculation, making explicit the implicit logic of the Mishnah.

Tosafot Yom Tov on Arakhin 2:1-3

Tosafot Yom Tov (TYT) focuses on the nuances of the Mishnah's language and structure, often clarifying Rashi's position or the Gemara's intent. His chiddush lies in his precise linguistic analysis and his explanation of the Mishnah's editorial choices.

Regarding Arakhin, TYT addresses the Gemara's explanation of the repeated phrase "אין בערכין פחות מסלע ולא יותר על חמשים סלע" (M. Arakhin 2:1, 2:3). He states: "הא תו למה לי [הא] קמ"ל פתוח מסלע הוא דליכא. הא יתר על סלע איכא [אע"ג דליכא חמשים סלעים דאם היו בידו ה' סלעים נותן כולם דהיינו יותר על סלע ופתות מחמשים] יתר על חמשים הוא דליכא. הא פחות מחמשים הוא דאיכא [כדאמרן] וסתמא כרבנן. גמ'."^9^ This explains that the repetition comes to teach the halakha according to the Rabbis (after their machloket with R. Meir) that one pays all they have, even if it's more than a sela but less than 50. It emphasizes that while there's no payment less than a sela (to fulfill the obligation), there can be a payment more than a sela (if one has it) and less than 50 sela. This clarifies the interaction between the general rule, the specific cases, and the machloket.

TYT further notes that the Mishnah's initial example of "פחות מסלע והעשיר" (less than a sela and became wealthy) is not exclusive. He quotes Tosafot who say: "לאו דוקא פחות מסלע אלא אפילו נתן כל הערך חוץ מסלע אחד מגלגלין עליו את הכל"^10^. This means that if one owes 50 sela but paid 49, it's still considered a non-fulfillment because the final sela wasn't paid. The entire obligation remains due if wealth is acquired. TYT then adds his own insight: "ונראה בעיני דמתני' נקטה פחות מסלע משום [דרבי מאיר דלא משכחת לה לדידיה. אלא בפחות מסלע]"^11^. He suggests the Mishnah chose the specific example of "less than a sela" to set up Rabbi Meir's opinion, which applies only when the initial payment was less than a sela. This demonstrates TYT's acute awareness of the Mishnah's didactic structure and the subtle interplay between its examples and the opinions it presents.

Friction

The Repetitive Recitation

The most prominent structural kushya in Mishnah Arakhin 2:1-2 is the seemingly redundant repetition of the phrase "אֵין בַּעֲרָכִין פָּחוֹת מִסֶּלַע, וְלֹא יָתֵר עַל חֲמִשִּׁים סֶלַע." It appears at the very beginning of the Mishnah and then again after the machloket between Rabbi Meir and the Rabbis regarding the impoverished individual with five sela. Why would the Tanna repeat a rule already stated? Such textual repetition in Mishnayot is rarely superfluous and typically signals a specific halakhic nuance or a pedagogical intention.

Terutz: Establishing the Halakha and Clarifying Scope

The Gemara (Arakhin 13b) directly addresses this kushya, and Rambam and Tosafot Yom Tov elaborate on its resolution.

The first instance of "אֵין בַּעֲרָכִין פָּחוּת מִסֶּלַע" establishes the fundamental principle that a payment of less than a sela is considered null and void for the purpose of fulfilling a valuation obligation, even for an impoverished person. This sets up the initial case: if one gave a sela and became wealthy, they are patur, but if they gave less than a sela and became wealthy, they must pay the full fifty sela. This is because, as Rambam explains, "פחות מסלע בערכים אינו פוטר מיד ערך"^12^.

The repetition, however, serves a different and crucial function. It appears immediately after the machloket between Rabbi Meir and the Rabbis concerning a person who has five sela. Rabbi Meir says they pay only one sela, fulfilling the minimum. The Rabbis say they pay all five. The Gemara explains that the second "אֵין בַּעֲרָכִין פָּחוּת מִסֶּלַע" comes to solidify the halakha according to the Rabbis. As Tosafot Yom Tov clarifies, quoting the Gemara: "הא קמ"ל פתוח מסלע הוא דליכא. הא יתר על סלע איכא [אע"ג דליכא חמשים סלעים דאם היו בידו ה' סלעים נותן כולם דהיינו יותר על סלע ופתות מחמשים] יתר על חמשים הוא דליכא. הא פחות מחמשים הוא דאיכא [כדאמרן] וסתמא כרבנן."^13^

In essence, the repetition teaches us:

1. There is no less than a sela that exempts one from the obligation. This reinforces the idea that if one gave less than a sela, the entire obligation remains, even if it's the 50 sela maximum.
2. There is a payment more than a sela (but less than 50 sela) which does count towards the obligation for an impoverished person. This explicitly adopts the Rabbis' view, that if one has, say, five sela, they must pay all five, not just one. This clarifies that while the minimum effective payment is a sela, if one has more up to 50 sela, they must pay it all.
3. There is no more than 50 sela, meaning no one is ever obligated to pay beyond this maximum, regardless of the value of the person whose valuation was undertaken.

Thus, the repetition is not redundant but a precise pedagogical tool. It first states the general rule, then presents a specific machloket that seemingly contradicts or nuances it, and finally reiterates the rule to clarify which opinion is adopted as halakha and to emphasize the full scope of the obligation within the defined limits for an impoverished person. It confirms that the sela is a minimum threshold for validity of payment, not a maximum obligation for the poor.

Intertext

Vayikra 27:8 – The Basis for Impoverished Valuations

The Mishnah's discussion of Arakhin for an impoverished person directly stems from the verses in Parashat Bechukotai. The Torah states concerning valuations: "וְאִם מָךְ הוּא מֵעֶרְכֶּךָ וְהֶעֱמִידוֹ לִפְנֵי הַכֹּהֵן וְהֶעֱרִיךְ אֹתוֹ הַכֹּהֵן עַל פִּי אֲשֶׁר תַּשִּׂיג יַד הַנֹּדֵר יַעֲרִיכֶנּוּ."^14^ This verse is the bedrock of the din that an impoverished person's valuation is assessed according to their means. The Mishnah then builds upon this by introducing the minimum threshold of a sela, despite the general principle of paying "according to what one can afford." This shows Chazal's meticulous application of biblical law, drawing out precise quantitative shiurim even when the Torah's language seems more flexible. The Gemara (Arakhin 13b) derives the sela minimum from "וְכָל עֶרְכְּךָ יִהְיֶה בְּשֶׁקֶל הַקֹּדֶשׁ,"^15^ interpreting "בשקל" to imply a minimum of one shekel (which is a sela).

Shulchan Aruch Yoreh De'ah 179 – Practical Niddah Halakha

The elaborate calculations for the "פתח" of a to'ah (uncertain niddah or zavah) are directly relevant to contemporary halakha. While the specific korban aspects are not currently applicable, the dinim of niddah and zavah are central to Jewish family life. The Shulchan Aruch, Yoreh De'ah 179, details the laws of zavah and safek zavah, including the requirement for shivah neki'im (seven clean days). For instance, Yoreh De'ah 183:1 codifies that a woman who sees blood for three consecutive days becomes a zavah gedolah and requires shivah neki'im and an offering (in Temple times). The Mishnah's complex "פתח" calculations for a to'ah inform the understanding of how to resolve uncertainty regarding whether blood is niddah or zavah and thus when the shivah neki'im can commence. Although the precise scenarios of "פתח" are intricate and often subsumed into broader halakhic categories of niddah and zavah, the core principle that a period of taharah must be established to resolve safek is consistently applied.

Psak/Practice

The Mishnah's diverse collection of numerical halakhot offers several practical and meta-halakhic insights.

From a practical standpoint, the dinim of Arakhin and Temple service (music, lambs, Levites) are primarily theoretical in our post-Temple era. However, they remain crucial for understanding the historical Avodah and for future Temple reconstruction.

The dinim of Milah (circumcision) are acutely relevant. The eighth day is the primary halakha, and delays (up to the twelfth day for bein hashmashot or Rosh Hashanah) are practical considerations for mohalim and parents, ensuring the mitzvah is performed correctly even when circumstances complicate it.

Most practically significant are the dinim of Niddah and Zavah. While the specific "פתח" calculations for a to'ah are complex, the underlying principle of shivah neki'im (seven clean days) for a zavah (or safek zavah) is a cornerstone of taharat hamishpacha today. A woman who experiences irregular bleeding must consult a Rav or Yoetzet Halakha to determine her status and the appropriate count of clean days before immersion. The Mishnah's detailed approach underscores the gravity of these halakhot and the need for precision in their application.

Meta-halakhically, this Mishnah demonstrates a fundamental heuristic of halakha: the establishment of precise quantitative bounds ("אין פחות מ... ולא יותר מ...") for mitzvot and prohibitions. This reflects a divine system that is not arbitrary but structured, where even flexibility (e.g., for the impoverished in Arakhin) operates within clearly defined limits. It teaches us that chiyuv is not amorphous; it has definite parameters, ensuring clarity in obligation and facilitating its performance.

Takeaway

This Mishnah exemplifies the quantitative precision inherent in Halakha, establishing clear minimums and maximums for diverse mitzvot and dinim. It underscores that even where flexibility or uncertainty exists, Halakha provides structured frameworks and numerical boundaries for fulfilling divine commands and resolving safekot.

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^1^ Mishnah Arakhin 2:1. ^2^ Mishnah Arakhin 2:1. ^3^ Mishnah Arakhin 2:1. ^4^ Mishnah Arakhin 2:1. ^5^ Rambam, Pirush HaMishnayot on Arakhin 2:1:1 s.v. "אין בערכין פחות מסלע". ^6^ Ibid. ^7^ Ibid. ^8^ Rambam, Pirush HaMishnayot on Arakhin 2:1:4 s.v. "אין פתח בטועה פחות משבעה". ^9^ Tosafot Yom Tov on Mishnah Arakhin 2:1:3 s.v. "אין בערכין פחות מסלע כו'". ^10^ Tosafot Yom Tov on Mishnah Arakhin 2:1:2 s.v. "פחות מסלע והעשיר". ^11^ Ibid. ^12^ Rambam, Pirush HaMishnayot on Arakhin 2:1:1 s.v. "אין בערכין פחות מסלע". ^13^ Tosafot Yom Tov on Mishnah Arakhin 2:1:3 s.v. "אין בערכין פחות מסלע כו'". ^14^ Vayikra 27:8. ^15^ Vayikra 27:25.