@2ck Can you give any example in humans where we instinctively understand a concept but not consciously so?
@admin @freemo @aetios I guess color is another example. After thinking about it more, being more intelligent than a human isn't necessary. probably even orthogonal. the interface that we have with the world biases the things we think are basic and natural. an alien may be capable of understanding, but their perceptions may make our presentation of mathematics deeply unintuitive
I'd say most people do not understand color, instinctually or otherwise. we have labels for colors that are completely arbitrary but we fail pretty badly at being able to objectively categorize color, in fact our physical limitations make it harder to understand than it otherwise would.
Take for example distinguishing between pure green and a composite green (made of blue and yellow). to a human they would look indistinguishable when in fact they arent even related colors in any way. You'd insist two colors with no similarity were the same to someone who actually understood the colors being presented.
@freemo @admin @aetios that's kinda what I was getting at, that we don't have to understand color. I admit it's not a great analogy in the context of my OP: I have a hard time extending it. My main theme though is that natural evolution could make weird creatures that don't calculate like we do because they don't need to. limitations in my knowledge of mathematics, evolution, and physics prevent me from taking that thought much further
@2ck
Perhaps basic physics.. to play catch you need some instinctual understanding how the path of the ball. You should be able to see its speed and direction and extrapolate where it is headed. Most people probably dont understand the math but could catch a ball well enough.
@admin @aetios