Okay, I think this is still because I’m thinking about the second-order logic result. I just went and looked up the FOL stuff, and the incompleteness theorem does give some weird results in FOL! You’re quite right, you do get models in which ConT is false.
Okay, I think this is still because I’m thinking about the second-order logic result. I just went and looked up the FOL stuff, and the incompleteness theorem does give some weird results in FOL! You’re quite right, you do get models in which ConT is false.
I think my point still stands for SOL, though.