Identity vs. Individuality

Sameness, identicalness; the quality or fact of (several specified things) being the same.

The difference or character that marks off an individual from the rest of the same kind, selfhood.

A name or persona—the mask or appearance one presents to the world—by which one is known.

Example: ‘This criminal has taken on several identities.’;

Sense of who one is.

Example: ‘I've been through so many changes, I have no sense of identity.’; ‘This nation has a strong identity.’;

Any function which maps all elements of its domain to themselves.

(algebra) An element of an algebraic structure which, when applied to another element under an operation in that structure, yields this second element.

A well-known or famous person.

The state or quality of being identical, or the same; sameness.

Example: ‘Identity is a relation between our cognitions of a thing, not between things themselves.’;

The condition of being the same with something described or asserted, or of possessing a character claimed; as, to establish the identity of stolen goods.

An identical equation.

the distinct personality of an individual regarded as a persisting entity;

Example: ‘you can lose your identity when you join the army’;

the individual characteristics by which a thing or person is recognized or known;

Example: ‘geneticists only recently discovered the identity of the gene that causes it’; ‘it was too dark to determine his identity’; ‘she guessed the identity of his lover’;

an operator that leaves unchanged the element on which it operates;

Example: ‘the identity under numerical multiplication is 1’;

exact sameness;

Example: ‘they shared an identity of interests’;

the fact of being who or what a person or thing is

Example: ‘she believes she is the victim of mistaken identity’; ‘he knows the identity of the bombers’;

the characteristics determining who or what a person or thing is

Example: ‘he wanted to develop a more distinctive Scottish Tory identity’;

(of an object) serving to establish who the holder, owner, or wearer is by bearing their name and often other details such as a signature or photograph

Example: ‘an identity card’;

a close similarity or affinity

Example: ‘an identity between the company's own interests and those of the local community’;

a transformation that leaves an object unchanged.

an element of a set which, if combined with another element by a specified binary operation, leaves that element unchanged.

the equality of two expressions for all values of the quantities expressed by letters, or an equation expressing this, e.g. (x + 1)² = x² + 2x + 1.

(uncountable) The characteristics that contribute to the differentiation or distinction of someone or something from a group of otherwise comparable identity.

(countable)  A person.

The quality or state of being individual or constituting an individual; separate or distinct existence; oneness; unity.

Example: ‘They possess separate individualities.’;

The character or property appropriate or peculiar to an individual; that quality which distinguishes one person or thing from another; the sum of characteristic traits; distinctive character; as, he is a person of marked individuality.

A habit of thinking and acting in one's own distinctive manner and as one believes appropriate, not being heavily influenced by the opinions of others; - of people.

the quality of being individual;

Example: ‘so absorbed by the movement that she lost all sense of individuality’;

the distinct personality of an individual regarded as a persisting entity;

Example: ‘you can lose your identity when you join the army’;