sethood

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noun

The state of being a set.

“William Van Ormen Quine (1969), Set Theory and Its Logic, →ISBN, page 302: “In the first edition I relativized the sethood condition insufficiently, failing to restrict the bound variables to sets””

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Meanings

nounsethood (uncountable)
  1. uncountablemathematicsThe state of being a set.

    William Van Ormen Quine (1969), Set Theory and Its Logic, →ISBN, page 302: “In the first edition I relativized the sethood condition insufficiently, failing to restrict the bound variables to sets”

    2 more examples

    John Bigelow and Robert Pargetter (1990), Science and Necessity, →ISBN, page 368: “In fact, this can be used as a necessary condition for sethood: a universal is a set only if any given thing instantiates it either in all possible worlds or in none.”

    Yiannis N. Moschovakis (2006), Notes on Set Theory, →ISBN, page 111: “Each of (II)–(VI) grants sethood to a specific, explicitly defined collection of objects, it legitimizes a special case of the most appealing (if false) General Comprehension Principle 3.3.”

Origin

From set + -hood.

Full word history & related roots →

Rhymes & wordplay

Anagrams

shooted
Cite this entry
APA

sethood. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/sethood

MLA

“sethood.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/sethood. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “sethood,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/sethood.

Source: sethood on Wiktionary, CC BY-SA 4.0.