Despite great variation in the images on the eye that represent a given object in the world, the object looks much the same to us. It appears to be about the same size despite the changes in the size of its images (size constancy), to have much the same shape despite changes in the shape of its images (shape constancy), and to have much the same orientation (tilted, upright, upside down) despite changes in how its images are oriented on the retina (orientation constancy). It also appears to be located in much the same direction in relation to ourselves and other objects despite where on the retina its image is located (constancy of direction or position constancy), and much the same lightness, or shade of gray, despite changes in the intensity of light reaching the eye from its surfaces (lightness constancy). How does the brain construct from these varying images a visual world that is characterized by constancy? Currently, there are two, apparently conflicting, answers to this question entertained by students of perception, the stimulus- relation theory and the taking- into-account theory. The former derives from the psychophysical tradition and the latter primarily from the work of Helmholtz and other Inference theorists. Let us first consider the explanations for constancy of size.