Word.ws English Dictionary

proper class

proper class noun: a class which is not a set.

Noun

proper class (plural proper classes)

  1. A class which is not a set.
    • Thus, what is required is not that all proper classes be the size of the class of all sets, but that every proper class has at least as many members in #92;Omega#95;p as there are sets in #92;Omega#95;2, whatever is in #92;Omega#95;2.1994, Shaughan Lavine, Understanding the Infinite, Harvard University Press, page 322
    • It is true that the absence of proper classes in ZF is sometimes awkward. It is also true that adding proper classes in the usual ways (either predicative classes as in Gödel—Bernays, or impredicative ones as in Morse-Kelley is conceptually unsettling: in each case (and especially in the more...2004, Hartry Field, The Consistency of the Naive Theory of Properties, Godehard Link, One Hundred Years of Russell's Paradox: Mathematics, Logic, Philosophy, Walter de Gruyter, page 308

Forms of proper class

pluralproper classes

Questions about proper class

What does proper class mean?
Proper class means a class which is not a set.
What part of speech is proper class?
Proper class is a noun.
What is the plural of proper class?
The plural of proper class is proper classes.

Words near proper class in the dictionary

  1. proper accelerations
  2. proper adjective
  3. proper adjectives
  4. proper article
  5. proper articles
  6. proper class
  7. proper classes
  8. proper divisor
  9. proper divisors
  10. proper fraction
  11. proper fractions

Source and license

Adapted from Wiktionary: proper class (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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