State the incompleteness theorems
precisely, with every hypothesis they
need. Then the four things they're
wrongly claimed to show, and exactly
where each misreading goes wrong.

What Gödel Actually Proved

The hypotheses included, and the four popular misreadings.

Prompt

State the incompleteness theorems precisely, including every hypothesis they need. Then list the four things they're most often wrongly claimed to show, and explain exactly where each misreading goes wrong.