Perhaps. But would it be controversial or novel enough to warrant one? I’d think that most people here 1) already don’t believe that the human mind is more powerful than a universal Turing machine or a formal system, and 2) could correctly refute this type of argument, if they thought about it. Am I wrong about either of those (probably #2 if anything)? Or, perhaps, have sufficiently few people thought about it that bringing it up as a thought exercise (presenting the argument and encouraging people to evaluate it for themselves before looking at anyone else’s take) would be worthwhile, even if it doesn’t generally result in people changing their minds about anything?
It would be to some extent redundant with the posts you linked, but the specific point about the difference between human reasoning and formal reasoning is a new one to this blog. I, too, would be interested in reading it.
I think it could turn out really well if written with the relatively new lurkers in mind, and it does include a new idea that takes a few paragraphs to spell out well. That says “top-level” to me.
Perhaps. But would it be controversial or novel enough to warrant one? I’d think that most people here 1) already don’t believe that the human mind is more powerful than a universal Turing machine or a formal system, and 2) could correctly refute this type of argument, if they thought about it. Am I wrong about either of those (probably #2 if anything)? Or, perhaps, have sufficiently few people thought about it that bringing it up as a thought exercise (presenting the argument and encouraging people to evaluate it for themselves before looking at anyone else’s take) would be worthwhile, even if it doesn’t generally result in people changing their minds about anything?
It would be to some extent redundant with the posts you linked, but the specific point about the difference between human reasoning and formal reasoning is a new one to this blog. I, too, would be interested in reading it.
You’re probably right about both, but I would still enjoy reading such a post.
I think it could turn out really well if written with the relatively new lurkers in mind, and it does include a new idea that takes a few paragraphs to spell out well. That says “top-level” to me.