Which of (a), (b) do you endorse, eventually with amendments?
I don’t necessarily endorse either. But “boundedly longer” is what does a lot of work there. As I’d mentioned, cognition can also be translated into a finitely long sequence of NAND gates. The real question isn’t “is there a finitely-long translation?”, but how much longer that translation is.
And I’m not aware of any strong evidence suggesting that natural language is close enough to human cognition that the resultant stream would not be much longer. Long enough to be ruinously compute-intensive (effectively as ruinous as translating it into NAND-gate sequences).
Indeed, I’d say there’s plenty of evidence to the contrary, given how central miscommunication is to the human experience.
I don’t necessarily endorse either. But “boundedly longer” is what does a lot of work there. As I’d mentioned, cognition can also be translated into a finitely long sequence of NAND gates. The real question isn’t “is there a finitely-long translation?”, but how much longer that translation is.
And I’m not aware of any strong evidence suggesting that natural language is close enough to human cognition that the resultant stream would not be much longer. Long enough to be ruinously compute-intensive (effectively as ruinous as translating it into NAND-gate sequences).
Indeed, I’d say there’s plenty of evidence to the contrary, given how central miscommunication is to the human experience.