1609 J. Dowland tr. A. Ornithoparchus Micrologus 4 A Cantor, who doth..sing those things, which the Musitian..doth set downe.

1631 R. Brathwait Whimzies ii. 10 Stanza's, which halt and hobble as lamely as that one legg'd Cantor that sings them.

1656 T. Blount Glossographia Cantor, a singer.

a1552 J. Leland Itinerary (1711) V. 22 The Cantor of S. Davids.

a1661 T. Fuller Worthies (1662) Wilts. 155 Being Canter of that Church.

1789 C. Burney Gen. Hist. Music III. 255 The Cantor or Chanter, who directs the singing in Lutheran churches.

1867 M. E. Herbert Cradle Lands vii. 176 The pillars where the Cantors stand during service.

1887 J. Baden Powell in Ch. Union Gaz. XVII. 145 A prose consists of a chorus, with intervening verses sung by cantors.

1893 I. Zangwill Ghetto Trag. 3 The quaint monotonous sing-song of the Cantor reading the Law.

1945 A. Kober Parm Me 120 Cards which she had received from the rabbis and cantors she had interviewed.

1958 Times 23 Sept. 2/7 A wandering synagogue-cantor.

1884 Edinb. Rev. July 227 [Bach's] appointment to the Cantorship at Leipzig.

1902 Proc. London Math. Soc. 34 286 H. J. S. Smith's ternary derived set is to all intents and purposes the same as Cantor's ternary set of numbers.

1902 Proc. London Math. Soc. 34 286 The generalization of Cantor's set.

1902 Proc. London Math. Soc. 35 248 Cantor's Theorem. Every set of intervals on a straight line is countable, provided no two overlap.

1903 B. Russell Princ. Math. xlii. 347 The thesis of the present chapter is, that Cantor's continuum is free from contradictions.

1903 B. Russell Princ. Math. 527 There is a one-one relation of all ranges of propositions to some propositions, which is directly contradictory to Cantor's theorem.

1906 Proc. London Math. Soc. 4 272 We can prove..that every ordinal number is a Cantor's ordinal number.

1940 Amer. Math. Monthly 47 549 (heading) Distances between points of the Cantor set.

1953 A. A. Fraenkel Abstr. Set Theory ii. 94 The highly comprehensive answer, often called Cantor's theorem, runs:..To any set S there exist sets having larger cardinals than S; in particular, the set US, whose elements are all the subsets of S, is of a larger cardinal than S.

1960 P. R. Halmos Naive Set Theory xxv. 101 The contradiction, based on the assumption that there is such a set [of all cardinal numbers], is known as Cantor's paradox.

1975 I. Stewart Concepts Mod. Math. ix. 143 Prior to Cantor's theorem, mathematicians had become accustomed to thinking of transcendental numbers as being very rare, because they seldom seemed to use any.

1979 D. R. Hofstadter Gödel, Escher, Bach (1980) v. 142 When α is irrational, the bands shrink to points, of which there are infinitely many, very sparsely distributed in a so-called ‘Cantor set’—another recursively defined entity which springs up in topology.

1987 Nature 24 Dec. 695/1 The resulting function resembles a mathematical function called a Cantor function or, more picturesquely, a ‘devil's staircase’.

1912 A. N. Whitehead & B. Russell Principia Mathematica II. v. 614 A compact Dedekindian series is said to possess ‘Dedekindian continuity’; such series have many important properties. They are a wider class than series possessing Cantorian continuity.

1946 Mind 55 367 His theory made it impossible to prove the existence of the continuum and thus curtailed the Cantorean theory of sets.

1963 W. V. Quine Set Theory 294 Classes that are not Cantorian behave unconventionally.

1982 W. S. Hatcher Logical Found. Math. vii. 225 A set x is ‘Cantorian’ if it is similar to its set of unit subsets.