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> LLMs (our current "AI") doesn't use logical or mathematical rules to reason.

I'm not sure I can follow... what exactly is decoding/encoding if not using logical and mathematical rules?

Good point, I meant the reasoning is not encoded like a logical or mathematical rules. All the neural networks and related parts rely on e.g. matrix multiplication which works by mathematical rules, but the models won't answer your questions based on pre-recorded logical statements, like "apple is red".

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