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identity
noun
1.
the distinct personality of an individual regarded as a persisting entity
anyman
whohood
individuality
personal identity
Derived from:
identify
2.
the individual characteristics by which a thing or person is recognized or known
hemdloving
whoness
Derived from:
identify
3.
an operator that leaves unchanged the element on which it operates
identity element
identity operator
4.
exact sameness
thilk
identicalness
indistinguishability
Derived from:
identical
identify