The magic string, Part I: Tanach and Talmud
(כט) רְא֗וּ כִּֽי־יְהוָה֮ נָתַ֣ן לָכֶ֣ם הַשַּׁבָּת֒ עַל־כֵּ֠ן ה֣וּא נֹתֵ֥ן לָכֶ֛ם בַּיּ֥וֹם הַשִּׁשִּׁ֖י לֶ֣חֶם יוֹמָ֑יִם שְׁב֣וּ ׀ אִ֣ישׁ תַּחְתָּ֗יו אַל־יֵ֥צֵא אִ֛ישׁ מִמְּקֹמ֖וֹ בַּיּ֥וֹם הַשְּׁבִיעִֽי׃
(29) Mark that the LORD has given you the sabbath; therefore He gives you two days’ food on the sixth day. Let everyone remain where he is: let no one leave his place on the seventh day.”
(לב) וַיִּהְי֥וּ בְנֵֽי־יִשְׂרָאֵ֖ל בַּמִּדְבָּ֑ר וַֽיִּמְצְא֗וּ אִ֛ישׁ מְקֹשֵׁ֥שׁ עֵצִ֖ים בְּי֥וֹם הַשַּׁבָּֽת׃ (לג) וַיַּקְרִ֣יבוּ אֹת֔וֹ הַמֹּצְאִ֥ים אֹת֖וֹ מְקֹשֵׁ֣שׁ עֵצִ֑ים אֶל־מֹשֶׁה֙ וְאֶֽל־אַהֲרֹ֔ן וְאֶ֖ל כָּל־הָעֵדָֽה׃ (לד) וַיַּנִּ֥יחוּ אֹת֖וֹ בַּמִּשְׁמָ֑ר כִּ֚י לֹ֣א פֹרַ֔שׁ מַה־יֵּעָשֶׂ֖ה לֽוֹ׃ (ס) (לה) וַיֹּ֤אמֶר יְהוָה֙ אֶל־מֹשֶׁ֔ה מ֥וֹת יוּמַ֖ת הָאִ֑ישׁ רָג֨וֹם אֹת֤וֹ בָֽאֲבָנִים֙ כָּל־הָ֣עֵדָ֔ה מִח֖וּץ לַֽמַּחֲנֶֽה׃ (לו) וַיֹּצִ֨יאוּ אֹת֜וֹ כָּל־הָעֵדָ֗ה אֶל־מִחוּץ֙ לַֽמַּחֲנֶ֔ה וַיִּרְגְּמ֥וּ אֹת֛וֹ בָּאֲבָנִ֖ים וַיָּמֹ֑ת כַּאֲשֶׁ֛ר צִוָּ֥ה יְהוָ֖ה אֶת־מֹשֶֽׁה׃ (פ)
(32) Once, when the Israelites were in the wilderness, they came upon a man gathering wood on the sabbath day. (33) Those who found him as he was gathering wood brought him before Moses, Aaron, and the whole community. (34) He was placed in custody, for it had not been specified what should be done to him. (35) Then the LORD said to Moses, “The man shall be put to death: the whole community shall pelt him with stones outside the camp.” (36) So the whole community took him outside the camp and stoned him to death—as the LORD had commanded Moses.
(ה) וַיֹּאמְרוּ֙ אֶל־מֹשֶׁ֣ה לֵּאמֹ֔ר מַרְבִּ֥ים הָעָ֖ם לְהָבִ֑יא מִדֵּ֤י הָֽעֲבֹדָה֙ לַמְּלָאכָ֔ה אֲשֶׁר־צִוָּ֥ה יְהוָ֖ה לַעֲשֹׂ֥ת אֹתָֽהּ׃ (ו) וַיְצַ֣ו מֹשֶׁ֗ה וַיַּעֲבִ֨ירוּ ק֥וֹל בַּֽמַּחֲנֶה֮ לֵאמֹר֒ אִ֣ישׁ וְאִשָּׁ֗ה אַל־יַעֲשׂוּ־ע֛וֹד מְלָאכָ֖ה לִתְרוּמַ֣ת הַקֹּ֑דֶשׁ וַיִּכָּלֵ֥א הָעָ֖ם מֵהָבִֽיא׃ (ז) וְהַמְּלָאכָ֗ה הָיְתָ֥ה דַיָּ֛ם לְכָל־הַמְּלָאכָ֖ה לַעֲשׂ֣וֹת אֹתָ֑הּ וְהוֹתֵֽר׃ (ס)
(5) and said to Moses, “The people are bringing more than is needed for the tasks entailed in the work that the LORD has commanded to be done.” (6) Moses thereupon had this proclamation made throughout the camp: “Let no man or woman make further effort toward gifts for the sanctuary!” So the people stopped bringing: (7) their efforts had been more than enough for all the tasks to be done.
(כד) וְ֠הָיָה אִם־שָׁמֹ֨עַ תִּשְׁמְע֤וּן אֵלַי֙ נְאֻם־יְהוָ֔ה לְבִלְתִּ֣י ׀ הָבִ֣יא מַשָּׂ֗א בְּשַׁעֲרֵ֛י הָעִ֥יר הַזֹּ֖את בְּי֣וֹם הַשַּׁבָּ֑ת וּלְקַדֵּשׁ֙ אֶת־י֣וֹם הַשַּׁבָּ֔ת לְבִלְתִּ֥י עֲשֽׂוֹת־בה [בּ֖וֹ] כָּל־מְלָאכָֽה׃ (כה) וּבָ֣אוּ בְשַׁעֲרֵ֣י הָעִ֣יר הַזֹּ֡את מְלָכִ֣ים ׀ וְשָׂרִ֡ים יֹשְׁבִים֩ עַל־כִּסֵּ֨א דָוִ֜ד רֹכְבִ֣ים ׀ בָּרֶ֣כֶב וּבַסּוּסִ֗ים הֵ֚מָּה וְשָׂ֣רֵיהֶ֔ם אִ֥ישׁ יְהוּדָ֖ה וְיֹשְׁבֵ֣י יְרוּשָׁלִָ֑ם וְיָשְׁבָ֥ה הָֽעִיר־הַזֹּ֖את לְעוֹלָֽם׃ (כו) וּבָ֣אוּ מֵעָרֵֽי־יְ֠הוּדָה וּמִסְּבִיב֨וֹת יְרוּשָׁלִַ֜ם וּמֵאֶ֣רֶץ בִּנְיָמִ֗ן וּמִן־הַשְּׁפֵלָ֤ה וּמִן־הָהָר֙ וּמִן־הַנֶּ֔גֶב מְבִאִ֛ים עוֹלָ֥ה וְזֶ֖בַח וּמִנְחָ֣ה וּלְבוֹנָ֑ה וּמְבִאֵ֥י תוֹדָ֖ה בֵּ֥ית יְהוָֽה׃
(24) If you obey Me—declares the LORD—and do not bring in burdens through the gates of this city on the sabbath day, but hallow the sabbath day and do no work on it, (25) then through the gates of this city shall enter kings who sit upon the throne of David, with their officers—riding on chariots and horses, they and their officers—and the men of Judah and the inhabitants of Jerusalem. And this city shall be inhabited for all time. (26) And people shall come from the towns of Judah and from the environs of Jerusalem, and from the land of Benjamin, and from the Shephelah, and from the hill country, and from the Negeb, bringing burnt offerings and sacrifices, meal offerings and frankincense, and bringing offerings of thanksgiving to the House of the LORD.
אמר רב יהודה אמר שמואל מקושש מעביר ארבע אמות ברה"ר הוה במתניתא תנא תולש הוה רב אחא ברבי יעקב אמר מעמר הוה
Rav Yehuda said that Shmuel said: The wood gatherer who was sentenced to death for desecrating Shabbat (see Numbers 15:33–36) was one who carried four cubits in the public domain. He was stoned for performing the prohibited labor of carrying. It was taught in a baraita: He was one who detached still-growing branches. He was stoned for performing the prohibited labor of detaching. Rav Aḥa, son of Rabbi Ya’akov, said: He was one who gathered sticks together into a pile.
מתני׳ יציאות השבת שתים שהן ארבע בפנים ושתים שהן ארבע בחוץ

MISHNA: The acts of carrying out from a public domain into a private domain or vice versa, which are prohibited on Shabbat, are primarily two basic actions that comprise four cases from the perspective of a person inside a private domain, and two basic actions that comprise four cases from the perspective of a person outside, in a public domain.

(א) רַבִּי אֱלִיעֶזֶר אוֹמֵר, אִם לֹא הֵבִיא כְלִי מֵעֶרֶב שַׁבָּת, מְבִיאוֹ בְשַׁבָּת מְגֻלֶּה.

(1) Rabbi Eliezer says: If one has not brought an instrument [knife used for circumcision] on Shabbat eve uncovered.

מתני׳ עושין פסין לביראות
MISHNA: One may arrange upright boards [passin] around a well in the public domain in order to permit drawing water from the well on Shabbat. A well is usually at least four handbreadths wide and ten handbreadths deep. Therefore, it is considered a private domain, and it is prohibited to draw water from it on Shabbat, as that would constitute a violation of the prohibition to carry from a private domain into a public one. The Sages therefore instituted that a virtual partition may be built in the area surrounding the well, so that the enclosed area could be considered a private domain, thus permitting use of the well and carrying of the water within the partitioned area.
ארבעה דיומדין נראין כשמונה דברי ר' יהודה ר"מ אומר שמונה נראין כשנים עשר ארבעה דיומדים וארבעה פשוטין

In this specific instance, the Sages demonstrated special leniency and did not require a proper partition to enclose the entire area. For this purpose, it suffices if there are four double posts [deyomadin] that look like eight single posts, i.e., four corner pieces, each comprised of two posts joined together at right angles; this is the statement of Rabbi Yehuda. Rabbi Meir says: There must be eight posts that look like twelve. How so? There must be four double posts, one in each corner, with four plain posts, one between each pair of double posts.

גובהן עשרה טפחים ורוחבן ששה ועוביים כל שהוא וביניהן כמלא שתי רבקות של שלש שלש בקר דברי ר"מ

The height of the double posts must be at least ten handbreadths, their width must be six handbreadths, and their thickness may be even a minimal amount. And between them, i.e., between the posts, there may be a gap the size of two teams [revakot] of three oxen each; this is the statement of Rabbi Meir.

(א) בַּכֹּל מְעָרְבִין וּמִשְׁתַּתְּפִים, חוּץ מִן הַמַּיִם וּמִן הַמֶּלַח.

(1) We may use all [food and drink] to make an eruv [halachic merging of separate domains by means of setting aside an amount of food in a designated place] or a shituf [ the same as an eruv when connecting different alleys and streets], exception for water and except for salt. [it]."

(א) כֵּיצַד מְעַבְּרִין אֶת הֶעָרִים, בַּיִת נִכְנָס בַּיִת יוֹצֵא, פָּגוּם נִכְנָס פָּגוּם יוֹצֵא. הָיוּ שָׁם גְּדוּדִיּוֹת גְּבוֹהוֹת עֲשָׂרָה טְפָחִים, וּגְשָׁרִים וּנְפָשׁוֹת, שֶׁיֵּשׁ בָּהֶן בֵּית דִּירָה, מוֹצִיאִין אֶת הַמִּדָּה כְנֶגְדָּן, וְעוֹשִׂין אוֹתָהּ כְּמִין טַבְלָא מְרֻבַּעַת, כְּדֵי שֶׁיְּהֵא נִשְׂכָּר אֶת הַזָּוִיּוֹת:

(1) How can the boundaries of a town be enlarged [extended]? If one house recede and [another] house jut out, or one attachment recede and [another] attachment jut out, or fragments of a wall ten tefachim [a specific unit of length] high [that jut out], or if there be any bridges or monuments [a section of which juts out], with dwelling-houses thereon, the measurement of the town goes out in front of [their outermost point]; and we make [the area that extends to its sides] like a type of square table ,in order that it gains the angles [the corners].

(ב) נוֹתְנִין קַרְפֵּף לָעִיר, דִּבְרֵי רַבִּי מֵאִיר. וַחֲכָמִים אוֹמְרִים, לֹא אָמְרוּ קַרְפֵּף אֶלָּא בֵין שְׁתֵּי עֲיָרוֹת, אִם יֵשׁ לָזוֹ שִׁבְעִים אַמָּה וְשִׁירַיִם, וְלָזוֹ שִׁבְעִים אַמָּה וְשִׁירַיִם, עוֹשֶׂה קַרְפֵּף לִשְׁתֵּיהֶן לִהְיוֹתָן כְּאֶחָת:

(2) We give [an allowance for] a karpef [an enclosed area outside of a town or village] to [extend the boundaries of] a town - so says Rabbi Meir. But the Sages say, "[The Rabbis] didn't say [that there is an allowance for a] karpef except [when it would be] between two towns; if the one has [up to] seventy and a fraction amot [a specific unit of length] outside of it and the other one [also] has [up to] seventy and a fraction amot outside of it [such that there is one hundred and forty one and a third amot from the end of one town to the other; in that case] one makes [the allowance of] a karpef for both of them, so that they become as one."

(ג) וְכֵן שְׁלֹשָׁה כְפָרִים הַמְּשֻׁלָּשִׁין, אִם יֵשׁ בֵּין שְׁנַיִם הַחִיצוֹנִים מֵאָה וְאַרְבָּעִים וְאֶחָד וּשְׁלִישׁ, עָשָׂה אֶמְצָעִי אֶת שְׁלָשְׁתָּן לִהְיוֹתָן כְּאֶחָד:

(3) And so too, if three villages form a triangle, and the two outer ones have one hundred and forty one and a third amot between them, the [third] one between them [makes] the three of them become as one.

(ד) אֵין מוֹדְדִין אֶלָּא בְחֶבֶל שֶׁל חֲמִשִּׁים אַמָּה, לֹא פָחוֹת וְלֹא יוֹתֵר. וְלֹא יִמְדּוֹד אֶלָּא כְנֶגֶד לִבּוֹ. הָיָה מוֹדֵד וְהִגִּיעַ לְגַיְא אוֹ לְגָדֵר, מַבְלִיעוֹ וְחוֹזֵר לְמִדָּתוֹ. הִגִּיעַ לְהָר, מַבְלִיעוֹ וְחוֹזֵר לְמִדָּתוֹ, וּבִלְבַד שֶׁלֹּא יֵצֵא חוּץ לַתְּחוּם. אִם אֵינוֹ יָכוֹל לְהַבְלִיעוֹ, בָּזוֹ אָמַר רַבִּי דוֹסְתַּאי בַּר רַבִּי יַנַּאי מִשּׁוּם רַבִּי מֵאִיר, שָׁמַעְתִּי שֶׁמְּקַדְּרִין בֶּהָרִים:

(4) They are not to measure [the techum - the area around an individual or community within which it is permissible to carry on Shabbat], except with a rope [exactly] fifty amot, not shorter and not longer; and he [who measures] must not measure except from in front of his heart [his chest]. If he was measuring and reached a valley or [an obstruction], he incorporates it [by measuring above it in a straight line] and resumes his [standard procedure of] measurement; if he reached a mountain, he incorporates it [by measuring above it in a straight line] and resumes his [standard procedure of] measurement, so long as he does not step out of the techum [in doing so]. If he cannot incorporate it [by measuring above it in a straight line because it is too high], Rabbi Dostai bar Yannai said of such [a circumstance] in the name of Rabbi Meir, "I have heard that they [who measure] cut straight through mountains."

(ו) עִיר שֶׁל יָחִיד וְנַעֲשֵׂית שֶׁל רַבִּים, מְעָרְבִין אֶת כֻּלָּהּ. וְשֶׁל רַבִּים וְנַעֲשֵׂית שֶׁל יָחִיד, אֵין מְעָרְבִין אֶת כֻּלָּהּ, אֶלָּא אִם כֵּן עָשָׂה חוּצָה לָהּ כְּעִיר חֲדָשָׁה שֶׁבִּיהוּדָה, שֶׁיֵּשׁ בָּהּ חֲמִשִּׁים דִּיוּרִים, דִּבְרֵי רַבִּי יְהוּדָה. רַבִּי שִׁמְעוֹן אוֹמֵר, שָׁלֹשׁ חֲצֵרוֹת שֶׁל שְׁנֵי בָתִּים:

(6) If a town [originally the property] of a single individual, becomes [the property] of the many, we make an eruv for all of it [meaning that all of the householders residing there should participate in making it. If a town originally the property] of the many, becomes [the property] of one individual, we don't make an eruv for all of it [meaning the householders residing there may not participate in making it], unless [a number of dwellers who live adjacent] be left out, [that number being] like the town, Chadasha in Yehuda, in which there are fifty dwellings - so says Rabbi Yehuda. Rabbi Shimon says, "[It is sufficient if] three courtyards of two houses [each are left out]."

(ב) אֲבוֹת מְלָאכוֹת אַרְבָּעִים חָסֵר אֶחָת. הַזּוֹרֵעַ. וְהַחוֹרֵשׁ. וְהַקּוֹצֵר. וְהַמְעַמֵּר. הַדָּשׁ. וְהַזּוֹרֶה. הַבּוֹרֵר. הַטּוֹחֵן. וְהַמְרַקֵּד. וְהַלָּשׁ. וְהָאוֹפֶה. הַגּוֹזֵז אֶת הַצֶּמֶר. הַמְלַבְּנוֹ. וְהַמְנַפְּצוֹ. וְהַצּוֹבְעוֹ. וְהַטּוֹוֶה. וְהַמֵּסֵךְ. וְהָעוֹשֶׂה שְׁנֵי בָתֵּי נִירִין. וְהָאוֹרֵג שְׁנֵי חוּטִין. וְהַפּוֹצֵעַ שְׁנֵי חוּטִין. הַקּוֹשֵׁר. וְהַמַּתִּיר. וְהַתּוֹפֵר שְׁתֵּי תְפִירוֹת. הַקּוֹרֵעַ עַל מְנָת לִתְפֹּר שְׁתֵּי תְפִירוֹת. הַצָּד צְבִי. הַשּׁוֹחֲטוֹ. וְהַמַּפְשִׁיטוֹ. הַמּוֹלְחוֹ, וְהַמְעַבֵּד אֶת עוֹרוֹ. וְהַמּוֹחֲקוֹ. וְהַמְחַתְּכוֹ. הַכּוֹתֵב שְׁתֵּי אוֹתִיּוֹת. וְהַמּוֹחֵק עַל מְנָת לִכְתֹּב שְׁתֵּי אוֹתִיּוֹת. הַבּוֹנֶה. וְהַסּוֹתֵר. הַמְכַבֶּה. וְהַמַּבְעִיר. הַמַּכֶּה בַפַּטִּישׁ. הַמּוֹצִיא מֵרְשׁוּת לִרְשׁוּת. הֲרֵי אֵלּוּ אֲבוֹת מְלָאכוֹת אַרְבָּעִים חָסֵר אֶחָת:

(2) The [number of] principal Melakhot is forty minus one. [The forbidden Melakhot are]: Sowing, plowing, reaping, binding sheaves, threshing, winnowing, sorting, grinding, sifting, kneading, baking, shearing wool, whitening it, combing it, dyeing it, spinning, weaving, making two loops, weaving two threads, separating two threads, tying [a knot], untying [a knot], sewing two stitches, tearing for the purpose of sewing two stitches, hunting a deer, slaughtering it, skinning it, salting it, curing its hide, scraping it, cutting it, writing two letters, erasing for the purpose of writing two letters, building, demolishing, extinguishing a flame, lighting a flame, striking with a hammer, carrying from one domain to another. These are the principal Melakhot - [they number] forty minus one.

חצרות של רבים ומבואות שאינן מפולשין עירבו מותרין לא עירבו אסורים

Courtyards for many, and alleys which are not open--if there was an "eruv" it is permitted [to carry], without an eruv it is forbidden to carry

Defining Your Domains:
רשות היחיד: private domain--enclosed area; fewer people go through; smaller area
רשות הרבים: public domain--no roof; open space; bigger area
  • Rashi holds that 600,000 people must pass it daily (some people say 2 million)
The Biblical Prohibition:
עקירה (initiation of movement--the bringing) and הנחה (putting the object at rest) must be performed on an object by the same person, by which
1. the person transfers the object from one domain to another domain
2. the person carries an object for a distance of 4 amot or more within a public domain