English

Noun

sethood ‎(uncountable)

1. (mathematics) The state of being a set.
   • William Van Ormen Quine (1969) Set Theory and Its Logic, ISBN 0674802071, page 302: “In the first edition I relativized the sethood condition insufficiently, failing to restrict the bound variables to sets”
   • John Bigelow and Robert Pargetter (1990) Science and Necessity, ISBN 0521390273, 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 0387287221, 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.”