the.com/subset
the humble club that lives entirely inside a bigger, more popular club
means A set whose every member also belongs to another, larger set.
from A modern compound stitched together from Latin parts: the prefix 'sub-' meaning 'under' or 'below,' and 'set,' the English noun for a collection of things. The mathematical sense — a set contained within another — is a 19th- and 20th-century coinage that grew up alongside set theory itself, when mathematicians needed tidy words for the ways one collection can nest inside another.
- includes itself
- every set is a subset of itself
- empty wins
- the empty set hides inside absolutely everything
- power explosion
- a set of n elements has 2^n subsets
- proper distinction
- proper subsets refuse to be the whole thing