Consciousness and Higher Dimensions of Space

This paper reviews the present status of the material dualist theory of brain-consciousness relations. I cover first the history of its development by Priestly, Broad, Price, Carr, Jourdan, and myself. The theory is then described with its basis in higher-dimensional geometry, the phenomenology of consciousness, the neurological concept of the body image, and the application of Leibniz's Law to the current dominant identity theory of brain-consciousness relations. A model based on Flatland is developed to illustrate the theory followed by a discussion of its application to recent findings in NDE cases together with the use by Jourdan and Brumblay of higherdimensional geometry to account for the remarkable phenomenology revealed. Finally I discuss possible ways to test the theory by experiment