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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.
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The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.



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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.


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
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005


(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.


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)].
This article is provided by FOLDOC - Free Online Dictionary of Computing (
References in periodicals archive ?
Somehow, Cantor managed never to look too ambitious as he rocketed up the ranks.
Nationally, Cantor has steadily built political alliances, aided by his impressive fundraising talents.
Last summer, there was speculation that McCain might name Cantor as his running mate.
Like all good politicians, Cantor is adept at taking care of his constituents.
Cantor still reaps the benefits of his early legal and business careers.
Cantor's business experience gives him credibility in Congress, where he and fellow Republicans are betting that they can continue to call for tax cuts and not do themselves any political damage.
Cantor blamed the bill's defeat on House Speaker Nancy Pelosi, who had called the economic policies of the Bush administration "reckless." He stood before television cameras waving the text of Pelosi's remarks.
In the face of the deepening economic crisis, Cantor appears to be softening his criticism of big government.
Thomas Bliley describes Cantor's whip-style as "low key," "very persuasive" and "not polemic." "He doesn't fly off the handle," he says.
Cantor's views reflect the conservative core of the Republican Party.
But Cantor has been careful not to link his faith to his stance on abortion.
As the chair of the Congressional Task Force on Terrorism and Unconventional Warfare, a forum organized by conservative Republicans, Cantor is also building up his national security and foreign policy credentials.