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Maximum capacity of Parrot-sized Brain

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After hearing about Alex the African Gray Parrot, and knowing how intelligent ravens are, just how smart could a brain of that size become?

I would like to limit the responses to current known or theoretical science in order to have as much realism as possible, despite the fact that this would be for a decidedly non-human race (about the size and dimensions of a pygmy gibbon). I'm also referring to biological brains only, naturally evolved.

By max capacity I mean intelligence we could expect. It might be easiest to make educated guesses in the form of "IQ". If you have a better understanding of cell structure of the brain, number of cells that could exist in what density, etc. then I'd love to hear about that too.

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This post was sourced from https://worldbuilding.stackexchange.com/q/69918. It is licensed under CC BY-SA 3.0.

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