Английская Википедия:Hebrew numerals

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Шаблон:Short description Шаблон:Table Numeral Systems The system of Hebrew numerals is a quasi-decimal alphabetic numeral system using the letters of the Hebrew alphabet. The system was adapted from that of the Greek numerals sometime between 200[1] and 78 BCE, the latter being the date of the earliest archeological evidence.[2]

The current numeral system is also known as the Hebrew alphabetic numerals to contrast with earlier systems of writing numerals used in classical antiquity. These systems were inherited from usage in the Aramaic and Phoenician scripts, attested from c. 800 BCE in the Samaria Ostraca.

The Greek system was adopted in Hellenistic Judaism and had been in use in Greece since about the 5th century BCE.[3]

In this system, there is no notation for zero, and the numeric values for individual letters are added together. Each unit (1, 2, ..., 9) is assigned a separate letter, each tens (10, 20, ..., 90) a separate letter, and the first four hundreds (100, 200, 300, 400) a separate letter. The later hundreds (500, 600, 700, 800 and 900) are represented by the sum of two or three letters representing the first four hundreds. To represent numbers from 1,000 to 999,999, the same letters are reused to serve as thousands, tens of thousands, and hundreds of thousands. Gematria (Jewish numerology) uses these transformations extensively.

In Israel today, the decimal system of Hindu–Arabic numeral system (ex. 0, 1, 2, 3, etc.) is used in almost all cases (money, age, date on the civil calendar). The Hebrew numerals are used only in special cases, such as when using the Hebrew calendar, or numbering a list (similar to a, b, c, d, etc.), much as Roman numerals are used in the West.

Numbers

The Hebrew language has names for common numbers that range from zero to one million. Letters of the Hebrew alphabet are used to represent numbers in a few traditional contexts, such as in calendars. In other situations, numerals from the Hindu–Arabic numeral system are used. Cardinal and ordinal numbers must agree in gender with the noun they are describing. If there is no such noun (e.g., in telephone numbers), the feminine form is used. For ordinal numbers greater than ten, the cardinal is used. Multiples of ten above the value 20 have no gender (20, 30, 40, ... are genderless), unless the number has the digit 1 in the tens position (110, 210, 310, ...).

Файл:Hohe Synagoge Prag 1.jpg
The lower clock on the Jewish Town Hall building in Prague, with Hebrew numerals in counterclockwise order
Файл:Pocket watches with Hebrew numerals.JPG
Early 20th century pocket watches with Hebrew numerals in clockwise order (Jewish Museum, Berlin)

Ordinal values

Ordinal
(English)
Ordinal
(Hebrew)
Masculine Feminine
First (rishon) Шаблон:Script/Hebrew (rishona) Шаблон:Script/Hebrew
Second (sheni) Шаблон:Script/Hebrew (shniya) Шаблон:Script/Hebrew
Third (shlishi) Шаблон:Script/Hebrew (shlishit) Шаблон:Script/Hebrew
Fourth (revi'i) Шаблон:Script/Hebrew (revi'it) Шаблон:Script/Hebrew
Fifth (chamishi) Шаблон:Script/Hebrew (chamishit) Шаблон:Script/Hebrew
Sixth (shishi) Шаблон:Script/Hebrew (shishit) Шаблон:Script/Hebrew
Seventh (shvi'i) Шаблон:Script/Hebrew (shvi'it) Шаблон:Script/Hebrew
Eighth (shmini) Шаблон:Script/Hebrew (shminit) Шаблон:Script/Hebrew
Ninth (tshi'i) Шаблон:Script/Hebrew (tshi'it) Шаблон:Script/Hebrew
Tenth ('asiri) Шаблон:Script/Hebrew ('asirit) Шаблон:Script/Hebrew

Note: For ordinal numbers greater than 10, cardinal numbers are used instead.

Cardinal values

Hindu-Arabic
numerals
Hebrew
numerals
Cardinal
(ex. one, two, three)
Masculine Feminine
0 (efes) Шаблон:Script/Hebrew
1 Шаблон:Script/Hebrew (alef) (eḥadh) Шаблон:Script/Hebrew (aḥath) Шаблон:Script/Hebrew
2 Шаблон:Script/Hebrew (bet) (shənayim) Шаблон:Script/Hebrew (shətayim) Шаблон:Script/Hebrew
3 Шаблон:Script/Hebrew (gimel) (shəloshah) Шаблон:Script/Hebrew (shalosh) Шаблон:Script/Hebrew
4 Шаблон:Script/Hebrew (dalet) (arəba'ah) Шаблон:Script/Hebrew (arəba') Шаблон:Script/Hebrew
5 Шаблон:Script/Hebrew (he) (ḥamisha) Шаблон:Script/Hebrew (ḥamesh) Шаблон:Script/Hebrew
6 Шаблон:Script/Hebrew (vav) (shishah) Шаблон:Script/Hebrew (shesh) Шаблон:Script/Hebrew
7 Шаблон:Script/Hebrew (zayin) (shivə'ah) Шаблон:Script/Hebrew (sheva') Шаблон:Script/Hebrew
8 Шаблон:Script/Hebrew (ḥet) (shəmonah) Шаблон:Script/Hebrew (shəmoneh) Шаблон:Script/Hebrew
9 Шаблон:Script/Hebrew (tet) (tishə'ah) Шаблон:Script/Hebrew (tesha') Шаблон:Script/Hebrew
10 Шаблон:Script/Hebrew (yod) ('asara) Шаблон:Script/Hebrew ('eser) Шаблон:Script/Hebrew
11 Шаблон:Script/Hebrew (aḥadh-'asar) Шаблон:Script/Hebrew (aḥath-'esəreh) Шаблон:Script/Hebrew
12 Шаблон:Script/Hebrew (shəneym-'asar) Шаблон:Script/Hebrew (shəteym-'esreh) Шаблон:Script/Hebrew
13 Шаблон:Script/Hebrew (shəloshah-'asar) Шаблон:Script/Hebrew (shəlosh-'esreh) Шаблон:Script/Hebrew
14 Шаблон:Script/Hebrew (arəba'ah-'asar) Шаблон:Script/Hebrew (arəba'-'esreh) Шаблон:Script/Hebrew
15 Шаблон:Script/Hebrew (ḥamishah-'asar) Шаблон:Script/Hebrew (ḥamesh-'esreh) Шаблон:Script/Hebrew
16 Шаблон:Script/Hebrew (shishah-'asar) Шаблон:Script/Hebrew (shesh-'esreh) Шаблон:Script/Hebrew
17 Шаблон:Script/Hebrew (shivə'ah-'asar) Шаблон:Script/Hebrew (shəva'-'esreh) Шаблон:Script/Hebrew
18 Шаблон:Script/Hebrew (shəmonah-'asar) Шаблон:Script/Hebrew (shəmoneh-'esreh) Шаблон:Script/Hebrew
19 Шаблон:Script/Hebrew (tishə'ah-'asar) Шаблон:Script/Hebrew (təsha'-'esreh) Шаблон:Script/Hebrew
20 Шаблон:Script/Hebrew (kaf) ('esərim) Шаблон:Script/Hebrew
30 Шаблон:Script/Hebrew (lamed) (shəloshim) Шаблон:Script/Hebrew
40 Шаблон:Script/Hebrew (mem) (arəba'im) Шаблон:Script/Hebrew
50 Шаблон:Script/Hebrew (nun) (ḥamishim) Шаблон:Script/Hebrew
60 Шаблон:Script/Hebrew (samekh) (shishim) Шаблон:Script/Hebrew
70 Шаблон:Script/Hebrew ('ayin) (shivə'im) Шаблон:Script/Hebrew
80 Шаблон:Script/Hebrew (pe) (shəmonim) Шаблон:Script/Hebrew
90 Шаблон:Script/Hebrew (tsadi) (tishə'im) Шаблон:Script/Hebrew
100 Шаблон:Script/Hebrew (qof) (me'ah) Шаблон:Script/Hebrew
200 Шаблон:Script/Hebrew (resh) (ma'atayim) Шаблон:Script/Hebrew
300 Шаблон:Script/Hebrew (shin) (shəlosh me'oth) Шаблон:Script/Hebrew
400 Шаблон:Script/Hebrew (tav) (arəba' me'oth) Шаблон:Script/Hebrew
500 Шаблон:Script/Hebrew (ḥamesh me'oth) Шаблон:Script/Hebrew
600 Шаблон:Script/Hebrew (shesh me'oth) Шаблон:Script/Hebrew
700 Шаблон:Script/Hebrew (shəva me'oth) Шаблон:Script/Hebrew
800 Шаблон:Script/Hebrew (shəmone me'oth) Шаблон:Script/Hebrew
900 Шаблон:Script/Hebrew (təsha' me'oth) Шаблон:Script/Hebrew
1000 Шаблон:Script/Hebrew (elef) Шаблон:Script/Hebrew
2000 Шаблон:Script/Hebrew (alpaym) Шаблон:Script/Hebrew
5000 Шаблон:Script/Hebrew (ḥamesheth alafim) Шаблон:Script/Hebrew
10 000 Шаблон:Script/Hebrew (aseret alafim) Шаблон:Script/Hebrew or (revava) Шаблон:Script/Hebrew or (ribbo) Шаблон:Script/Hebrew
100 000 Шаблон:Script/Hebrew (mea elef) Шаблон:Script/Hebrew or (aseret ribbo) Шаблон:Script/Hebrew
1 000 000 Шаблон:Script/Hebrew (miliyon) Шаблон:Script/Hebrew or (mea ribbo) Шаблон:Script/Hebrew
10 000 000 Шаблон:Script/Hebrew (asara miliyon) Шаблон:Script/Hebrew or (elef ribbo) Шаблон:Script/Hebrew
100 000 000 Шаблон:Script/Hebrew (mea miliyon) Шаблон:Script/Hebrew or (ribbo ribbo'ot) Шаблон:Script/Hebrew or (ribbo revavot) Шаблон:Script/Hebrew
1 000 000 000 Шаблон:Script/Hebrew (miliyard) Шаблон:Script/Hebrew
1 000 000 000 000 Шаблон:Script/Hebrew (trilyon) Шаблон:Script/Hebrew
1015 Шаблон:Script/Hebrew (kwadrilyon) Шаблон:Script/Hebrew
1018 Шаблон:Script/Hebrew (kwintilyon) Шаблон:Script/Hebrew

Note: Officially, numbers greater than a million were represented by the long scale. However, since January 21, 2013, the modified short scale (under which the long scale milliard is substituted for the strict short scale billion), which was already the colloquial standard, became official.[4]

Collective numerals

Table of collective numerals and their declensions[5][6]
Number We masc. We fem. You masc. You fem. They masc. They fem.
Two together (shnenu) Шаблон:Script/Hebrew (shtenu) Шаблон:Script/Hebrew (shnechem) Шаблон:Script/Hebrew (shtechen) Шаблон:Script/Hebrew (shnehem) Шаблон:Script/Hebrew (shtehen) Шаблон:Script/Hebrew
Three together (shloshtenu) Шаблон:Script/Hebrew (shlosht'chem) Шаблон:Script/Hebrew (shlosht'chen) Шаблон:Script/Hebrew (shloshtam) Шаблон:Script/Hebrew (shloshtan) Шаблон:Script/Hebrew
Four together (arba'tenu) Шаблон:Script/Hebrew (arba'tchem) Шаблон:Script/Hebrew (arba'tchen) Шаблон:Script/Hebrew (arba'tam) Шаблон:Script/Hebrew (arba'tan) Шаблон:Script/Hebrew
Five together (chamishtenu) Шаблон:Script/Hebrew (chamisht'chem) Шаблон:Script/Hebrew (chamisht'chen) Шаблон:Script/Hebrew (chamishtam) Шаблон:Script/Hebrew (chamishtan) Шаблон:Script/Hebrew
Six together (shishtenu) Шаблон:Script/Hebrew (shisht'chem) Шаблон:Script/Hebrew (shisht'chen) Шаблон:Script/Hebrew (shishtam) Шаблон:Script/Hebrew (shishtan) Шаблон:Script/Hebrew
Seven together (shva'tenu) Шаблон:Script/Hebrew (shva'tchem) Шаблон:Script/Hebrew (shva'tchen) Шаблон:Script/Hebrew (shva'tam) Шаблон:Script/Hebrew (shva'tan) Шаблон:Script/Hebrew
Eight together (shmonatenu) Шаблон:Script/Hebrew (shmonatchem) Шаблон:Script/Hebrew (shmonatchen) Шаблон:Script/Hebrew (shmonatam) Шаблон:Script/Hebrew (shmonatan) Шаблон:Script/Hebrew
Nine together (tsha'tenu) Шаблон:Script/Hebrew (tsha'tchem) Шаблон:Script/Hebrew (tsha'tchen) Шаблон:Script/Hebrew (tsha'tam) Шаблон:Script/Hebrew (tsha'tan) Шаблон:Script/Hebrew
Ten together (asartenu) Шаблон:Script/Hebrew (asart'chem) Шаблон:Script/Hebrew (asart'chen) Шаблон:Script/Hebrew (asartam) Шаблон:Script/Hebrew (asartan) Шаблон:Script/Hebrew

Speaking and writing

Cardinal and ordinal numbers must agree in gender (masculine or feminine; mixed groups are treated as masculine) with the noun they are describing. If there is no such noun (e.g. a telephone number or a house number in a street address), the feminine form is used. Ordinal numbers must also agree in number and definite status like other adjectives. The cardinal number precedes the noun (e.g., shlosha yeladim), except for the number one which succeeds it (e.g., yeled echad). The number two is special: shnayim (m.) and shtayim (f.) become shney (m.) and shtey (f.) when followed by the noun they count. For ordinal numbers (numbers indicating position) greater than ten the cardinal is used.

Calculations

The Hebrew numeric system operates on the additive principle in which the numeric values of the letters are added together to form the total. For example, 177 is represented as Шаблон:Script/Hebrew which (from right to left) corresponds to 100 + 70 + 7 = 177.

Mathematically, this type of system requires 27 letters (1-9, 10–90, 100–900). In practice, the last letter, tav (which has the value 400), is used in combination with itself or other letters from qof (100) onwards to generate numbers from 500 and above. Alternatively, the 22-letter Hebrew numeral set is sometimes extended to 27 by using 5 sofit (final) forms of the Hebrew letters.[7]

Key exceptions

By convention, the numbers 15 and 16 are represented as Шаблон:Script/HebrewШаблон:Lrm (9 + 6) and Шаблон:Script/HebrewШаблон:Lrm (9 + 7), respectively, in order to refrain from using the two-letter combinations Шаблон:Script/HebrewШаблон:Lrm (10 + 5) and Шаблон:Script/HebrewШаблон:Lrm (10 + 6), which are alternate written forms for the Name of God in everyday writing. In the calendar, this manifests every full moon since all Hebrew months start on a new moon (see for example: Tu BiShvat).

Combinations which would spell out words with negative connotations are sometimes avoided by switching the order of the letters. For instance, 744 which should be written as Шаблон:Script/HebrewШаблон:Lrm (meaning "you/it will be destroyed") might instead be written as Шаблон:Script/Hebrew or Шаблон:Script/Hebrew (meaning "end to demon").

Use of final letters

The Hebrew numeral system has sometimes been extended to include the five final letter forms—Шаблон:Script/Hebrew for 500, Шаблон:Script/Hebrew for 600, Шаблон:Script/Hebrew for 700, Шаблон:Script/Hebrew for 800, Шаблон:Script/Hebrew for 900.

The ordinary additive forms for 500 to 900 are Шаблон:Script/Hebrew, Шаблон:Script/Hebrew, Шаблон:Script/Hebrew, Шаблон:Script/Hebrew and Шаблон:Script/Hebrew.

Gershayim

Файл:Baiersdorf Juedischer Friedhof 025 (cropped).JPG
A tombstone from 1935 in Baiersdorf, Germany, reading: <poem style="text-align:center">Шаблон:Script/Hebrew Шаблон:Script/Hebrew Шаблон:Script/Hebrew</poem> In English: <poem style="text-align:center">Passed away on day 20 Iyar And buried on day 23 Iyar Year 695 without the thousands [i.e. year 5695]</poem> Note the dots above each letter in each number.

Gershayim (U+05F4 in Unicode, and resembling a double quote mark) (sometimes erroneously referred to as merkha'ot, which is Hebrew for double quote) are inserted before (to the right of) the last (leftmost) letter to indicate that the sequence of letters represents something other than a word. This is used in the case where a number is represented by two or more Hebrew numerals (e.g., 28 → Шаблон:Script/HebrewШаблон:Lrm).

Similarly, a single geresh (U+05F3 in Unicode, and resembling a single quote mark) is appended after (to the left of) a single letter to indicate that the letter represents a number rather than a (one-letter) word. This is used in the case where a number is represented by a single Hebrew numeral (e.g. 100 → Шаблон:Script/HebrewШаблон:Lrm).

Note that geresh and gershayim merely indicate "not a (normal) word." Context usually determines whether they indicate a number or something else (such as an abbreviation).

An alternative method found in old manuscripts and still found on modern-day tombstones is to put a dot above each letter of the number.

Decimals

In print, Arabic numerals are employed in Modern Hebrew for most purposes. Hebrew numerals are used nowadays primarily for writing the days and years of the Hebrew calendar; for references to traditional Jewish texts (particularly for Biblical chapter and verse and for Talmudic folios); for bulleted or numbered lists (similar to A, B, C, etc., in English); and in numerology (gematria).

Thousands and date formats

Thousands are counted separately, and the thousands count precedes the rest of the number (to the right, since Hebrew is read from right to left). There are no special marks to signify that the "count" is starting over with thousands, which can theoretically lead to ambiguity, although a single quote mark is sometimes used after the letter. When specifying years of the Hebrew calendar in the present millennium, writers usually omit the thousands (which is presently 5 [[[:Шаблон:Script/Hebrew]]]), but if they do not this is accepted to mean 5,000, with no ambiguity. The current Israeli coinage includes the thousands.Шаблон:Clarify

Date examples

"Monday, 15 Adar 5764" (where 5764 = 5(×1000) + 400 + 300 + 60 + 4, and 15 = 9 + 6):

In full (with thousands): "Monday, 15(th) of Adar, 5764"
Шаблон:Script/Hebrew
Common usage (omitting thousands): "Monday, 15(th) of Adar, (5)764"
Шаблон:Script/Hebrew

"Thursday, 3 Nisan 5767" (where 5767 = 5(×1000) + 400 + 300 + 60 + 7):

In full (with thousands): "Thursday, 3(rd) of Nisan, 5767"
Шаблон:Script/Hebrew
Common usage (omitting thousands): "Thursday, 3(rd) of Nisan, (5)767"
Шаблон:Script/Hebrew

To see how today's date in the Hebrew calendar is written, see, for example, Hebcal date converter.

Recent years

5781 (2020–21) = Шаблон:Script/Hebrew

5780 (2019–20) = Шаблон:Script/Hebrew

5779 (2018–19) = Шаблон:Script/Hebrew

...

5772 (2011–12) = Шаблон:Script/Hebrew

5771 (2010–11) = Шаблон:Script/Hebrew

5770 (2009–10) = Шаблон:Script/Hebrew

5769 (2008–09) = Шаблон:Script/Hebrew

...

5761 (2000–01) = Шаблон:Script/Hebrew

5760 (1999–2000) = Шаблон:Script/Hebrew

Similar systems

The Abjad numerals are equivalent to the Hebrew numerals up to 400. The Greek numerals differ from the Hebrew ones from 90 upwards because in the Greek alphabet there is no equivalent for tsade (Шаблон:Script/Hebrew).

See also

  • Bible code, a purported set of secret messages encoded within the Torah.
  • Gematria, Jewish system of assigning numerical value to a word or phrase.
  • Hebrew calendar
  • Notarikon, a method of deriving a word by using each of its initial letters.
  • Sephirot, the 10 attributes/emanations found in Kabbalah.
  • Significance of numbers in Judaism
  • Base 32, a system that can be written with both all Arabic numerals and all Hebrew letters, much as how Base 36 is written with all Arabic numerals and roman letters.

References

Шаблон:Reflist

External links

Шаблон:Commons category

Шаблон:Hebrew language

  1. Шаблон:Cite book
  2. Шаблон:Cite book
  3. Stephen Chrisomalis, Numerical Notation: A Comparative History, Cambridge University Press, 2010, p. 157; Solomon Gandz, Hebrew Numerals, Proceedings of the American Academy for Jewish Research Vol. 4, (1932 - 1933), pp. 53-112.
  4. http://www.hebrew-academy.org.il/2013/02/07/האקדמיה-ללשון-העברית-התכנסה-לישיבתה-ה-32/
  5. Шаблон:Cite web
  6. Шаблон:Cite web
  7. According to Gandz (p. 96), cited above, this use of the sofit letters was not widely accepted and soon abandoned.