“For example, presumably light of different colors is identical to light of different wavelengths.”
More specifically, lights of identical wavelengths have identical colors, and vice-versa. Clearly, “waves = colors” is not a valid statement of equality (‘color’ is an epiphenomenon of wavelengths arising as a percept in a sensory being, while the wavelengths the mind converts into colors exists independently of any observers). A wave is a wave, and a color is a color, and these two properties have a direct relationship upon which the equality or inequality of these properties in some group of objects can be ascertained.
“For example, presumably light of different colors is identical to light of different wavelengths.”
More specifically, lights of identical wavelengths have identical colors, and vice-versa. Clearly, “waves = colors” is not a valid statement of equality (‘color’ is an epiphenomenon of wavelengths arising as a percept in a sensory being, while the wavelengths the mind converts into colors exists independently of any observers). A wave is a wave, and a color is a color, and these two properties have a direct relationship upon which the equality or inequality of these properties in some group of objects can be ascertained.