Li Ming is most likely a senior logic teacher. Like most senior logic teachers, Li Ming is familiar with Gödel's completeness theorems and incompleteness theorems, while most people who are not senior logic teachers are not familiar with these theorems. In fact, many people who are not experienced teachers of logic have not even heard of Gödel.
The statement 'Ignore the possibility that most people familiar with Gödel's theorems are not experienced logic teachers' accurately identifies the flaw in the above reasoning.