We start with two sources of motivation for theories that make knowledge of sensorimotor contingencies necessary and/or sufficient for spatially contentful perceptual experience. The first is the idea that the visual system exploits efference copy, i.e., a copy of the outflowing saccade command signal, in order to distinguish changes in visual stimulation caused by movement of the eye from those caused by object movement. The second is a long line of experiments, first performed by Stratton and Helmholtz in the 19th century, on how subjects adapt to lens-, mirror-, and prism-induced modifications of visual experience. We follow up with objections to these theories and alternatives.