  The cobordism distance on the knot concordance group is used to define a
measure of how close two knots are to being linearly dependent. Roughly stated,
d(K,J) is defined by minimizing the cobordism distance between pairs of knots
in cyclic subgroups containing K and J. When made precise, this leads to the
definition of the projective space of the knot concordance group. We explore
basic properties of this projective space and its integer-valued metric by
considering torus knots. Twist knots are used to show that the associated
simplicial complex contains an infinite set of simplices of arbitrarily large
dimension.
