I don't understand what "LEM is false" means. What are your starting assumptions that lead to the "LEM is false" conclusion? You can use/assume LEM in your syst

I don't understand what "LEM is false" means. What are your starting assumptions that lead to the "LEM is false" conclusion? You can use/assume LEM in your system or not, most mathematicans assume LEM (without even thinking about it).