quantity

eleven

אחד עשראחת עשרהעשתי עשרעשתי עשרהעשתי

Bottom line

Both mean eleven, and both stand in the opening pesukim of Devarim: "eleven (achad asar) days from Chorev... in the eleventh (ashtei asar) month" (Devarim 1:2-3). On Rabbi Klein's tentative reading of Peirush HaRokeach, achad asar is eleven and ashtei asar eleventh, though he concedes that this does not pan out in every case in Tanach. Rabbi Meir Mintzberg's distinction is that achad asar is eleven as a number of its own and ashtei asar is eleven as an extension of ten; he points out that ashtei asar never takes the definite article, while every other number does.

At a glance

HebrewtranslitEnglishwhat sets it apart
אחד עשרachad asarelevenan independent number; takes ha- (Rabbi Meir Mintzberg)
עשתי עשרashtei asareleventheleven as a swelling of ten; never takes ha- (Rabbi Meir Mintzberg)
עשתיashteithe disputed element"upon twelve" (Ibn Janach), "born of ten" (Ibn Ezra), "bloated" (Mintzberg), or unknown (Radak); from eshes, compounded of units and tens (Pappenheim); one, in the tongue of Shinar (Rabbi Aharon Marcus)

Counting the feminine forms there are four words: achad asar and achat esreh, ashtei asar and ashtei esreh. Ashtei asar and ashtei esreh appear nineteen times in Tanach, achad asar and achat esreh thirteen.

Distinctions

Achad asar (אחד עשר) / achat esreh (אחת עשרה)

Literally "one ten," built transparently from echad. Eleven counted as a number: eleven days from Chorev (Devarim 1:2). Takes the definite article normally.

Ashtei asar (עשתי עשר) / ashtei esreh (עשתי עשרה)

The opaque form, and the more common one in Tanach. Used of the eleventh month (Devarim 1:3); for Peirush HaRokeach, of the eleventh in a series where the others are not in view. Never prefixed with ha-.

The Gemara (Sanhedrin 29a): Chizkiyah derives that whoever adds, subtracts, from lo sochlu mimenu velo sigu bo (Bereishis 3:3); Rav Mesharshiya from amasayim vachetzi orko (Shemos 25:10); and Rav Ashi from ashtei esreh yerios (Shemos 26:7), where adding an ayin to shtei esreh makes eleven of twelve.

The Zohar (Terumah 164b) brings ashtei asar as a case of adding that subtracts, kol hamosif gorea; and see HaKsav VeHaKabbalah to Devarim 33:16.

Rabbi Aharon Marcus (Keses HaSofer p. 358): ashtei means one in the language of Shinar.

Rabbi Shlomo Pappenheim (Cheshek Shlomo s.v. עש): ashtei asar (Shemos 26:7; Bamidbar 7:72) is from eshes, matter compounded of different kinds. Eleven is the first number compounded of two kinds, units and tens, and ten, the first of the tens, is itself compound while one, the first of the units, is simple; so the sum is called ashtei asar, ashtei hinting at the one added to ten, which makes the whole like eshes, compounded of unlike things.

Where the authorities disagree

What ashtei means.

  1. Upon twelve. Rabbi Yonah Ibn Janach: ashtei asar contracts al, "upon," with shteim asar, twelve, eleven being, as he understands it, the number "on top" of twelve.
  2. Born of ten. Ibn Ezra disagrees: au contraire, twelve is "on top" of eleven and not the reverse. Moreover, on Ibn Janach's account the masculine should be ashnei asar, since the masculine twelve is shnei asar/shneim asar and not shteim esreh, yet there is no such term, only ashtei asar and ashtei esreh, which casts a shadow of doubt over the proposal. Ibn Ezra's own reading takes ashtei as a cognate of ashtanosav, "his plans" (Tehillim 146:4): just as plans are born out of one's thoughts, eleven is born out of ten, so ashtei asar literally means that which is born out of ten. He admits that a great secret lies behind the connection of ten to eleven, and does not elaborate.
  3. A bloated ten. Rabbi Meir Mintzberg: eshes denotes an overly distended body (Rashi to Shir HaShirim 5:14 and Yirmiyahu 5:28; Yoma 34b; Menachos 28a), so ashtei asar is a swollen ten.
  4. Unknown. Radak rejects both Ibn Janach and Ibn Ezra and concludes that the derivation is beyond us.

Ibn Janach ties eleven to twelve and Ibn Ezra ties it to ten, which may have interesting implications for Jewish numerology.

When each form is used. Peirush HaRokeach, in what Rabbi Klein calls a somewhat cryptic explanation: where eleven is invoked with all the numbers before it included, the text says achad asar; where only the eleventh member of a set is meant and the rest are disregarded, it says ashtei asar. Rabbi Klein is not quite sure what this means, but suggests that perhaps the Rokeach is drawing the distinction between the ordinal eleventh (ashtei asar) and the numeral eleven (achad asar), on the model of rishon against echad and revi'i against arba.

In support of that suggestion he notes that archaeologists found the word ashtei meaning "first" in Ugaritic, in a funerary inscription concerning Niqmaddu, king of Ugarit; linguists hold Ugaritic and Hebrew to be somewhat similar languages, both Semitic, so the parallel is not irrelevant. Nevertheless, he concedes that if one tries to apply this approach to every case in Tanach, it simply does not pan out.

Rabbi Meir Mintzberg points out a fact of grammar: ashtei asar never carries the definite article ha-, though every other number does, achad asar and achat esreh among them, because on his reading it names no number with standing of its own, only ten carried one further. Rabbi Klein adds that this might actually be what the Rokeach intended by an independent against a dependent eleven.

Also discussed in

  • Oneאחד (א-ח-ד)

Radak on these roots

Sefer HaShorashim

א-ח-ד

One. Since one is the least of number, a small quantity is called by it, as כְּיָמִים אֲחָדִים, like a few days. Also joined into one, and keeping alone in one place.

A few, and joined into one

כְּיָמִים אֲחָדִים (Bereishis 29:20), that is, they were in his eyes like a few days. וְהָיוּ לַֽאֲחָדִים בְּיָדֶֽךָ, and they shall be as one in your hand, means מחוברים בדבר אחד, joined in one thing. Where the alef falls away, וְדִבֶּר־חַד אֶת־ אַחַד (Yechezkel 33:30), one speaking with another.

Keeping to oneself

הִתְאַֽחֲדִי הֵימִנִי (Yechezkel 21:21), keep yourself alone, go to the right: that is, התבודדי באחד המקומות, take yourself off alone to one of the places.

Two words that look alike

אַל־תֵּחַד כְּבֹדִי (Bereishis 49:6), let my honour not be joined to them, has its root and its sense here, on the pattern of אֵהָב (Mishlei 8:17), I will love. אַל־ יִחַדְּ בִּימֵי שָׁנָה (Iyov 3:6), let it not be joined among the days of the year, is set here too, its doubled dalet only setting the reading right, since the word is stressed on the earlier syllable, as he wrote in the grammar; but it is good to take it from חָדָה, of joy, let it not rejoice among the days of the year, while אַל־תֵּחַד כְּבֹדִי stays with this root.

Where אַחַת comes from

אַחַת אֶל־ אֶחָֽת (Shemos 36:12), one to another, would properly be אַחֶדֶת, the dalet dropping and the tav being the sign of the feminine. In his own view אחת is a word derived on its own and not from אחד at all, but from אח, as וְעָשָׂה אָח מֵאַחַד מֵאֵֽלֶּה (Yechezkel 18:10), and does one of any of these: אח said of the masculine and אחת of the feminine, since from אחד no feminine form is found. Yonasan rendered that pasuk as it sounds, וְיַעְבֵּד לַאֲחוּהִי מֵחֲדָא מֵאִלֵין, and does to his brother one of these.

אֶחָד הָיָה אַבְרָהָם (יחזקאל לג, כד), ונגרעה האל"ף וְדִבֶּר־חַד אֶת־אַחַד (יחזקאל לג, ל), וְהָיוּ לַֽאֲחָדִים בְּיָדֶֽךָ (יחזקאל לו, יז), מחוברים בדבר אחד, כְּיָמִים אֲחָדִים (בראשית כט, כ), כלומר היו בעיניו כימים מעטים. ולפי שהאחד מיעוט המספר יכנו הדבר המועט באחד. [הִתְפָּעֵל] הִתְאַֽחֲדִי הֵימִנִי (יחזקאל כא, כא), התבודדי באחד המקומות. ומזה העקר והענין אַל־תֵּחַד כְּבֹדִי (בראשית מט, ו), וכן אַל־יִחַדְּ בִּימֵי שָׁנָה (איוב ג, ו), יודגש הדלי"ת לתקון הקריאה, לפי שהמלה מלעיל כמו שכתבנו בחלק הדקדוק. וטוב הוא, שיהיה אל יחד בימי שׁנות, משרש חָדָה מענין שמחה, אבל אַל־תֵּחַד כְּבֹדִי מזה השרש בפלס אֲנִי אֹֽהֲבַיה [אֹֽהֲבַי] אֵהָב (משלי ח, יז). אַחַת אֶל־אֶחָֽת (שמות לו, יב), משפטו אַחֶדֶת ותחסר הדל"ת, והתי"ו סימן הנקבה. ולפי דעתי שמלת אחת גזרה בפני עצמה ולא נגזרה ממלת אחד, כי אם ממלת אח, וְעָשָׂה אָח מֵאַחַד מֵאֵֽלֶּה (יחזקאל יח, י), ונאמר אח לזכר ואחת לנקבה, אבל מגזרת אחד לא מצאנו מלה לנקבה. ויונתן תרגם כמשמעו וְיַעְבֵּד לַאֲחוּהִי מֵחֲדָא מֵאִלֵין.

ע-ש-ת

Bright and clear, as burnished iron or ivory; in another sense thought, from which, he holds, eleven is named, as the counter's first thought after ten.

Bright, clear, burnished

שָֽׁמְנוּ עָֽשְׁתוּ (Yirmiyahu 5:28), they grew fat, they grew bright: he glosses עָֽשְׁתוּ as צחו וזכו, they became bright and clear. בַּרְזֶל עָשׁוֹת (Yechezkel 27:19) is iron that is clear and burnished, עָשׁוֹת being a description of the iron weighed like רָחוֹק, far, and קָרוֹב, near. It is the metal called in la'az אציי"ר, or the iron called in Arabic הינד"י. Yonasan renders בְּעַרְקִין דְבַרְזֶל, which Radak explains as שבטי ברזל, rods of iron, like וְגִיד בַּרְזֶל עָרְפֶּךָ (Yeshayahu 48:4), your neck a sinew of iron; and so in the words of Chazal (Yoma 34b), עששית של ברזל היו מחמין מערב יום הכפורים, they would heat a piece of iron from erev Yom Kippur.

Clearness as a noun

עֶשֶׁת שֵׁן (Shir HaShirim 5:14), which he takes as like the clearness of ivory. On another pattern, לְעַשְׁתּוּת שַֽׁאֲנָן (Iyov 12:5), weighed like עַבְדּוּת, servitude: Iyov says of himself that he is לַפִּיד בּוּז, a torch of contempt, and that before this he was for the clearness and pleasantness of the quiet and untroubled, and now he is נָכוֹן לְמוֹעֲדֵי רָֽגֶל, ready for those whose foot slips.

Thought, and being appeased

אוּלַי יִתְעַשֵּׁת הָֽאֱלֹהִים לָנוּ (Yonah 1:6), perhaps Elokim will take thought for us: He will be appeased and take thought for us, for the will lies in the thought. אָבְדוּ עֶשְׁתֹּנֹתָֽיו (Tehillim 146:4), his thoughts perish; like it in Aramaic is וּמַלְכָּא עֲשִׁית לַֽהֲקָמוּתֵהּ (Daniel 6:4), and the king thought and wished to set him up; and the Targum of כִּי־אַֽחֲרֵי מַחְשְׁבוֹתֵינוּ (Yirmiyahu 18:12), for after our thoughts, is בָתַר עַשְׁתּוֹנָתָא נְהַךְ, after the thoughts we will go.

Why eleven is named from thinking

לְעַשְׁתֵּֽי ־עָשָׂר חֹדֶשׁ (Zecharyah 1:7), the eleventh month, and עַשְׁתֵּֽי ־עֶשְׂרֵה יְרִיעֹת (Shemos 26:7), eleven curtains: eleven is called so because it is the counter's thought, the first thing that rises in his heart to count after ten, ten being the end of the number. Rabbi Yonah explained the word from שתי, two, and Radak says he has already broken Rabbi Yonah's words in the part on grammar.

שָֽׁמְנוּ עָֽשְׁתוּ (ירמיה ה, כח), צחו וזכו. בַּרְזֶל עָשׁוֹת (יחזקאל כז, יט), זך וקלל. ועָשׁוֹת תאר לברזל בפלס רָחוֹק, קָרוֹב. והוא הנקרא בלע"ז אציי"ר, או הברזל הנקרא [בערבי] הינד"י. ויונתן תרגם בְּעַרְקִין דְבַרְזֶל רוצה לומר שבטי ברזל כמו וְגִיד בַּרְזֶל עָרְפֶּךָ (ישעיה מח, ד), וכן בדברי רבותינו ז"ל (יומא לד, ע"ב) עששית של ברזל היו מחמין מערב יום הכפורים. והשם עֶשֶׁת שֵׁן (שיר השירים ה, יד), בשש נקודות רוצה לומר כזכות השן. ומשקל אחר לְעַשְׁתּוּת שַֽׁאֲנָן (איוב יב, ה), בפלס עַבְדּוּת. ופירוש הפסוק אמר איוב על עצמו שהוא לַפִּיד בּוּז וטרם זה היה לְעַשְׁתּוּת שַֽׁאֲנָן כלומר לזכות ונועם השאנן והשקט ועתה נָכוֹן לְמוֹעֲדֵי רָֽגֶל. וענין אחר אוּלַי יִתְעַשֵּׁת הָֽאֱלֹהִים לָנוּ (יונה א, ו), יתרצה ויתחשב לנו כי הרצון במחשבה. אָבְדוּ עֶשְׁתֹּנֹתָֽיו (תהלים קמו, ד), בסגול העי"ן פירוש מחשבותיו, והדומה לו בלשון ארמית וּמַלְכָּא עֲשִׁית לַֽהֲקָמוּתֵהּ (דניאל ו, ד), חשב ורצה. ותרגום כִּי־אַֽחֲרֵי מַחְשְׁבוֹתֵינוּ (ירמיה יח, יב) בָתַר עַשְׁתּוֹנָתָא נְהַךְ. ומזה הענין לְעַשְׁתֵּֽי־עָשָׂר חֹדֶשׁ (זכריה א, ז), עַשְׁתֵּֽי־עֶשְׂרֵה יְרִיעֹת (שמות כו, ז), והוא אחד עשר. ונקרא כן לפי שהוא מחשבת הסופר ותחלת מה שיעלה בלבו לספור אחר עשרה כי עשרה סוף המספר. ורבי יונה פירשו על שתי, וכבר שברנו דבריו בחלק הדקדוק.

Radak, Sefer HaShorashim, Berlin 1847. Public domain, digitised by Sefaria from the National Library of Israel.

Sources

Rabbi Reuven Chaim Klein, "The Number Eleven," What's in a Word?, Ohr Somayach, 21 July 2018.

Rabbi Reuven Chaim Klein, "The Number Eleven," What's in a Word? Synonyms in the Hebrew Language (book manuscript).

Cited in the essay: Devarim 1:1-3; Tehillim 146:4; Shir HaShirim 5:14 with Rashi; Yirmiyahu 5:28 with Rashi; Yoma 34b; Menachos 28a; Ibn Janach, Ibn Ezra, and Radak on ashtei asar; Peirush HaRokeach; Rabbi Meir Mintzberg; the Ugaritic funerary inscription of Niqmaddu; Sanhedrin 29a; Bereishis 3:3; Shemos 25:10, 26:7; Zohar, Terumah 164b; HaKsav VeHaKabbalah to Devarim 33:16; Keses HaSofer p. 358; Pappenheim, Cheshek Shlomo s.v. עש; Shemos 26:7; Bamidbar 7:72.