Recently the question, "Computable Syntax", hit the Hot Network Questions sidebar. It has an accepted answer and lots of good commentary.
Regardless, there's a couple glaring issues with the entire interaction, and I'd like to know if anybody has any postmortem insights that they'd like to share, so that we can do better as a community in the future. I recognize that this is somewhat open-ended, but I think that it's important to consider the quality of discourse. I don't know how to fix this, only how to point out what went wrong. In the question:
- The question asks several queries at once
- Terminology is confused: generic patterns like "computable" and "first-order logic" are treated as specific concretions
- Distractions are brought up, like "completeness theorem" and "Turing machine"
- Signs of an XY problem, as the questioner may be trying to formalize something they've discovered/invented
- Value judgements like "reasonably useful"
And in the comments and answers:
- Restating Wikipedia articles with slight changes
- Focusing on consistency over soundness
- Focusing on semantics over syntax
- Value judgements like "what makes a good formal system"
- Long meandering answers that do not directly answer the question as asked
I am not blaming anybody specifically. I merely think that this could have gone better. What do y'all think?