A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories, intensional definitions (which try to give the essence of a term) and extensional definitions (which list every single object that a term describes). A term may have many different senses and multiple meanings, and thus require multiple definitions.
In mathematics, a definition is used to give a precise meaning to a new term, instead of describing a pre-existing term. Definitions and axioms are the basis on which all of mathematics is constructed.
An Intensional definition, also called a connotative definition, specifies the necessary and sufficient conditions for a thing being a member of a specific set. Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition.
An extensional definition, also called a denotative definition, of a concept or term specifies its extension. It is a list naming every object that is a member of a specific set.
Failed again so just leave me alone
Define, define, define
Failed again so just leave me alone
Define, define, define
I've heard it all before
I've seen this ship a thousand times
Oh, I've seen it all before
It's tall and harder when they fall
Say hello, it's me, let's go
I'm thinking your thoughts and you're thinkin' mine
Oh, it's you, hello, let's go
I've tried so hard but again I...
Failed again so just leave me alone
Define, define, define
Failed again so just leave me alone
Define, define, define
Touch me, baby, I'll take you home
I know a friend, I know a friend
Touch me, baby, I'll take you home
Define, define, define
I've heard it all before
I've seen this ship a million times
Oh, I've seen it all before
It's tall and harder when they fall