> Perhaps he and other true geniuses can understand things transcendently. Not so for me. My thoughts are serialized and obviously countable.
You needn't be a genius. Go on a few vipassana meditation retreats and your perception of all this may shift a bit.
> any kind of theorem or idea communicated to another mathematician needs to be serialized into language which would make it computable
Hence the suggestion by all mystical traditions that truth can only be experienced, not explained.
It may be possible for an AI to have access to the same experiences of consciousness that humans have (around thought, that make human expressions of thought what they are) - but we will first need to understand the parts of the mind / body that facilitate this and replicate them (or a sufficient subset of them) such that AI can use them as part of its computational substrate.
You needn't be a genius. Go on a few vipassana meditation retreats and your perception of all this may shift a bit.
> any kind of theorem or idea communicated to another mathematician needs to be serialized into language which would make it computable
Hence the suggestion by all mystical traditions that truth can only be experienced, not explained.
It may be possible for an AI to have access to the same experiences of consciousness that humans have (around thought, that make human expressions of thought what they are) - but we will first need to understand the parts of the mind / body that facilitate this and replicate them (or a sufficient subset of them) such that AI can use them as part of its computational substrate.