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this leads to things like LLMs being able to do arithmetic without calculation tools because there's a high-dimensional helix inside their activations, upon which they do arithmetic by using trigonometry (not "consciously", this process is not accessible to the LLM other than by its results)i
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there's all kinds of spooky engineering going on with these things; LLMs do voice and image input by using projection layers to rotate the tokens of sound slices and image patches into the same high-dimensional space that text tokens occupy, which automatically grants the thing "understanding" of it