You spend your entire life, from birth, in a black and white world. Could you, through an unlimited amount of time/imformation to study everything about color, eventually come to understand what color looks like, even though you've never seen it?
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I think you could sort of grasp the concept. If you saw in black and white you'd still see gradient and shades? Seems like one could understand that color is just different shades.
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I think there's a really big difference between acknowledging a truth and fully understanding it for yourself by going through the experience of it. plus, as humans, we have separate inputs for senses, which really puts understanding through experience on another level.
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You could understand it well enough to create something whereby one who sees color could appreciate the color, but you would still lack the ability to appreciate the color. As one who is deaf could create a beautiful piece of music and sense vibration but not the rich acoustics
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You would be able to talk about colour in such a way that other people would think you had experienced it. This is a real, but limited, form of understanding/knowledge
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You would develop an understanding of the science, the sensation and the fundamentals of color. But you would never grasp the sensation itself, the act of seeing color through your own eyes, this sensation, even if read about and thoroughly understood, is missing.
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voted no but read on twitter about someone's mathematician acquaintance whose approach to 4D geometry was to "just visualize it", so I have 5% uncertainty
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If your world is entirely black and white, the knowledge about colors to study is zero. If there is another universe where this knowledge about color came from, you will find it, given unlimited time and information.