What does sethood mean?
Sethood means (mathematics) The state of being a set..
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Pronunciation varies by accent · noun
(mathematics) 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”
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.”
Use sethood when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Sethood means (mathematics) The state of being a set..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
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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