This is where we are, in 1995, in the step-by-step analysis of the visual path. In terms of numbers of synapses (perhaps eight or ten) and complexity of transformations, it may seem a long way from the rods and cones in the retina to areas MT or visual area 2 in the cortex, but it is surely a far longer way from such processes as orientation tuning, end- stopping, disparity tuning, or color opponency to the recognition of any of the shapes that we perceive in our everyday life. We are far from understanding the perception of objects, even such comparatively simple ones as a circle, a triangle, or the letter A--indeed, we are far from even being able to come up with plausible hypotheses. We should not be particularly surprised or disconcerted over our relative ignorance in the face of such mysteries. Those who work in the field of artificial intelligence (AI) cannot design a machine that begins to rival the brain at carrying out such special tasks as processing the written word, driving a car along a road, or distinguishing faces. They have, however, shown that the theoretical difficulties in accomplishing any of these tasks are formidable. It is not that the difficulties cannot be solved-- the brain clearly has solved them--but rather that the methods the brain applies cannot be simple: in the lingo of AI, the problems are "nontrivial". So the brain solves nontrivial problems. The remarkable thing is that it solves not just two or three but thousands of them. In the question period following a lecture, a sensory physiologist or psychologist soon gets used to being asked what the best guess is as to how objects are recognized. Do cells continue to become more and more specialized at more and more central levels, so that at some stage we can expect to find cells so specialized that they respond to one single person's face--say, one's grandmother's? This notion, called the grandmother cell theory, is hard to entertain seriously. Would we expect to find separate cells for grandmother smiling, grandmother weeping, or grandmother sewing? Separate cells for the concept or definition of grandmother: one's mother's or father's mother? And if we did have grandmother cells, then what? Where would they project?