  The theory of descriptive nearness is usually adopted when dealing with sets
that share some common properties even when the sets are not spatially close,
i.e., the sets have no members in common. Set description results from the use
of probe functions to define feature vectors that describe a set and the
nearness of sets is given by their proximities. A probe on a non-empty set $X$
is a real-valued function $\Phi: X \rightarrow \mathbb{R}^n$, where $\Phi(x)=
(\phi_1(x),.., \phi_n(x))$. We establish a connection between relations on an
object space $X$ and relations on the feature space $\Phi(X).$ Having as
starting point the Peters proximity, two sets are \emph{descriptively near}, if
and only if their descriptions intersect. In this paper, we construct a
theoretical approach to a more visual form of proximity, namely, descriptive
proximity, which has a broad spectrum of applications. We organize descriptive
proximities on two different levels: weaker or stronger than the Peters
proximity. We analyze the properties and interplay between descriptions on one
side and classical proximities and overlap relations on the other side.
