# cantor

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Related to cantorial: Hazzanut, Chazanim

## cantor

[Lat.,=singer], a singer or chanter, especially one who performs the solo chants of a church service. The office of cantor, at first an honorary one, originated in the Jewish synagogues, in which from early times it was the custom to appoint a lay member to represent the congregation in prayer. The notation of the chants was forbidden. In the 6th cent. poetic prayer forms were developed, and with them more complicated modes, or music, thus necessitating professional cantors. In the early Christian church, cantors known as precentors had charge of the musical part of the service. In modern Roman Catholic and Anglican services cantors sing the opening words of hymns and psalms.

## Cantor

in the Catholic Church, a singer; in Protestant churches, a singing teacher, choir conductor, and organist, whose duties also often included the composition of music for the church (for example, J. S. Bach at St. Thomas in Leipzig). In a Jewish synagogue, the main singer, or hazan.

## cantor

1. Judaism a man employed to lead synagogue services, esp to traditional modes and melodies
2. Christianity the leader of the singing in a church choir

## Cantor

(person, mathematics)
A mathematician.

Cantor devised the diagonal proof of the uncountability of the real numbers:

Given a function, f, from the natural numbers to the real numbers, consider the real number r whose binary expansion is given as follows: for each natural number i, r's i-th digit is the complement of the i-th digit of f(i).

Thus, since r and f(i) differ in their i-th digits, r differs from any value taken by f. Therefore, f is not surjective (there are values of its result type which it cannot return).

Consequently, no function from the natural numbers to the reals is surjective. A further theorem dependent on the axiom of choice turns this result into the statement that the reals are uncountable.

This is just a special case of a diagonal proof that a function from a set to its power set cannot be surjective:

Let f be a function from a set S to its power set, P(S) and let U = { x in S: x not in f(x) }. Now, observe that any x in U is not in f(x), so U != f(x); and any x not in U is in f(x), so U != f(x): whence U is not in { f(x) : x in S }. But U is in P(S). Therefore, no function from a set to its power-set can be surjective.

## Cantor

(language)
An object-oriented language with fine-grained concurrency.

[Athas, Caltech 1987. "Multicomputers: Message Passing Concurrent Computers", W. Athas et al, Computer 21(8):9-24 (Aug 1988)].
References in periodicals archive ?
Temple Sinai of Las Vegas is proud to welcome Heather Klein as its new Cantorial Soloist.
Born of a culture whose primary theater was the religious sanctuary, the cantorial art focuses on texts that express both a deep longing for a return to a homeland and a powerful glorification of all that is divine.
And he would repeat the verse ad nauseam with all the tricks of the cantorial wade trills, falsetto singing, even a cry, a krekhtz, a sigh, a tearful break in the voice at the caesura and at the end of the prayerful sentence, as if he were Rodolfo in Puccini's opera bellowing bathos over his dying Mimi.
Run in co-operation with Tephilharmonic, a society formed to preserve the traditional synagogue music in orthodox congregations, the competition offers the chance to spend a year at the Cantorial Institute in Tel Aviv.
Synagogue organs were used to accompany choral, congregational, and cantorial singing, but over time they increasingly took on the function of solo instruments as well; and in order to permit this, from the 1870s many synagogues commissioned larger organs capable of greater sonic variety.
Still, the coterie insist that (1) an oblique reference to a Grimm folk tale, "The Jew in the Bramble Bush," in the second Stollen of Walther's Act I trial song (Beckmesser is at the time in the marker's booth) is somehow proof that anti-Semitism is woven into the whole ideological fabric of Die Meistersinger; that (2) Beckmesser's serenade is a malicious and deliberate parody of Jewish cantorial style; that (3) Beckmesser's limping and twitching in Hans Sachs's workshop is anti-Jewish stereotyping; and that (4) Jewish communities in Vienna and Berlin saw Beckmesser as an anti-Semitic caricature and protested violently.
Tears came to her eyes as she prayed, and her family's illustrious and lengthy cantorial tradition kicked in and told her that the experience was what she was meant to do.
For the past week, I've been listening to his toe-tapping rendition of "Adon Olam," which begins with a rich cantorial tune and blooms into a soulful melody.
702) Like the Cantorial service in a synagogue, the singing of spirituals or the singing of the blues can actually create a positive ameliorative semantic reaction.
23 Jewish Family & Children's Services * Cantorial Concert FSU Center for the Performing Arts, \$36.
In the first half of this year, for instance, Kronos highlights include the premiere performance of Meredith Monk's "Stringsongs"; the release of a Nonesuch Records CD of music by Azerbaijani composer Franghiz Ali-Zadeh; an extensive tour of Australia and New Zealand playing music written for the ensemble by Peter Sculthorpe, Willem Jeths, Steve Reich, Alexandra du Bois and others; a Los Angeles performance with Emil Zrihan, a Moroccan-born Israeli singer who combines Jewish cantorial music with Arab-Andalusian song and elements of flamenco and Arab folk music; and the world premiere of "The Cusp of Magic" by Terry Riley, with Wu Man on Chinese pipa.
John Zorn has metamorphosed cantorial matter into thrashcore death metal, The Klezmatics have taken, er, klezmer, and re-shaped it in an avant jazz setting and, most recently, the young London-based Koby Israelite has been toying with surf twang-guitar, reverberating deep inside the synagogue.

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