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- One partitionLearn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The empty set has exactly one partition, namely. (Note: this is the partition, not a member of the partition.) For any non-empty set X, P = { X } is a partition of X, called the trivial partition.en.wikipedia.org/wiki/Partition_of_a_setYes, the empty set does have a partition. Let's see what a partition is: given a set X X, a partition of X X is a set P P of nonempty subsets of X X such that each element of X X is contained in exactly one element of P P. Consider P = ∅ P = ∅.math.stackexchange.com/questions/2193873/is-wi…Yes, it's true that the emptyset as no non-empty subsets. Curiously this does not imply that there is no partition of ∅ ∅. ∅ ∅ is a partition of ∅ ∅. Note that every element of ∅ ∅ is a non-empty subset of ∅ ∅, vacuously. The (non-existent) elements are pairwise disjoint and have union equal to ∅ ∅, qed.math.stackexchange.com/questions/4384486/is-a-…
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There are no size-1 partitions of the empty set. – MJD. Sep 2, 2013 at 20:22. Add a …
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