a superintelligent alien may not understand what we call mathematics. the mathematical tools we use may be built-in to their brains/bodies so they don't need to externalize ideas like prime numbers

@2ck Can you give any example in humans where we instinctively understand a concept but not consciously so?

@freemo Infant swimming.
@2ck I don't understand why an alien wouldn't understand our math if they had some intuitive understanding of higher concepts like primes. I'd think that would make our math even easier to understand.

@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

@2ck Colors are interesting. We know different species see different colors than we do. I'd argue that it's easier to comprehend seeing in a more limited spectrum than ours, versus imagining a more complex one like that shrimp that can see in ultraviolet. Likewise I'd imagine a more advanced alien would understand our math easier than vice versa. I certainly agree that the difference would *color* the subjective experience, if you'll forgive the pun.

@admin I think you assume that the hypothetical aliens have the same senses that we do, but better. I would not make that assumption. Evolution could take a course that favors very rich perception of organic molecules over vision in some other world

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@2ck the problem is that our physicists (total buzzkills) found that pretty much everything that we can preceptive (or are) as organisms is just one thing. That's how dumb we are. If the alien would be a creature of this one thing as well, then its perception and understanding of the world would have to be fundamentally very similar, as in its search for truth it would have to arrive, at some point, to a realization of that same one thing - a common ground, and the mathematics of that one thing described by us within that same one thing it will inevitably eventually discern and understand in whatever way it does. Otherwise a creature of some other thing would be absolutely imperceptible to us outside of some lab equipment, at which point, if it would also not speak math, we would never recognize it.
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