Goedel's theorems don't stop AI from finding and formalizing math results. They certainly don't stop AI from making conjectures or writing definitions. They have nothing to do with any of that.
The theorems are about inability of formal theories to prove certain sentences involving provability (the first is about "this sentence is not provable", the second is about "this theory is consistent"). Most mathematicians never touch any such sentences in their entire career. All the life's work of someone like Gauss, an all-time great, can be formalized just fine.
Goedel's theorems don't stop AI from finding and formalizing math results. They certainly don't stop AI from making conjectures or writing definitions. They have nothing to do with any of that.
The theorems are about inability of formal theories to prove certain sentences involving provability (the first is about "this sentence is not provable", the second is about "this theory is consistent"). Most mathematicians never touch any such sentences in their entire career. All the life's work of someone like Gauss, an all-time great, can be formalized just fine.