Final answer:
White objects appear white because they reflect all wavelengths of sunlight, which is much more intense than the blue light scattered by the sky, leading our eyes and brain to perceive them as white due to the uniform mixture of colors in sunlight and color compensation.
Step-by-step explanation:
The reason we see white objects as white and not bluish, even though the sky appears blue due to Rayleigh scattering, lies in the intensity and composition of sunlight. Sunlight, which is composed of a spectrum of colors including red, orange, yellow, green, blue, and violet, appears white to us because it contains a fairly uniform mixture of all visible wavelengths. When sunlight hits a white object, it reflects all these wavelengths roughly equally. Because direct sunlight is significantly brighter than scattered light from the sky, the additional blue light from the sky is not typically enough to perceptibly change the color of a white object in sunlight. Our eyes and brain perceive it as white, thanks in part to the psychological process of color compensation.
Color perception varies depending on illumination conditions, and objects absorb or reflect different wavelengths to display their colors. Although sunlight is a bit yellow due to its mixture of wavelengths, it contains all colors within the visible spectrum, which is why it looks white. White objects reflect all wavelengths, contributing to their white appearance even under the influence of blue sky light.