In
mathematics,
logic, and
formal systems, a
primitive notion is an undefined concept. In particular, a primitive notion is not defined in terms of previously defined concepts, but is only motivated informally, usually by an appeal to
intuition and everyday experience. In an
axiomatic theory or other
formal system, the role of a primitive notion is analogous to that of
axiom. In axiomatic theories, the primitive notions are sometimes said to be "defined" by one or more axioms, but this can be misleading. Formal theories cannot dispense with primitive notions, under pain of
infinite regress.