  This essay's title is justified by discussing a class of Yang-Mills-type
theories of which standard Yang-Mills theories are special cases but which is
broad enough to include gravity as a double field theory. We use the framework
of homotopy algebras, where conventional Yang-Mills theory is the tensor
product ${\cal K}\otimes \frak{g}$ of a `kinematic' algebra ${\cal K}$ with a
color Lie algebra $\frak{g}$. The larger class of Yang-Mills-type theories are
given by the tensor product of ${\cal K}$ with more general Lie-type algebras
of which ${\cal K}$ itself is an example, up to anomalies that can be cancelled
for the tensor product with a second copy $\bar{\cal K}$. Gravity is then given
by ${\cal K}\otimes \bar{\cal K}$.
