Philosophy Lexicon of Arguments

Empty set: an empty set is a set without an element. Notation ∅ or {}. There is only one empty set, since without an existing element there is no way to specify a specification of the set. The empty set can be specified as such that each element of the empty set is not identical with itself {x x unequal x}. Since there is no such object, the set must be empty. The empty set is not the number zero, but zero indicates the cardinality of the empty set.

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.
Author Item    More concepts for author
Bigelow, John Empty Set   Bigelow, John
Frege, Gottlob Empty Set   Frege, Gottlob
Prior, Arthur Empty Set   Prior, Arthur
Quine, Willard Van Orman Empty Set   Quine, Willard Van Orman
Stechow, A. von Empty Set   Stechow, A. von

Ed. Martin Schulz, access date 2017-06-24