I does feel like isolated demand of rigour. Mathematicians writing to other mathematicians about new results seems like a fair comparison of speech activity and this expresses a similar level of confidence (carefully combed analysis willing to defend but open to being wrong and open to details on questioning).
I don’t understand what the two types that would make a type error would be. Both are the one shared by “It can be shown that an angle can not be trisected with compass and ruler”. People that are far in inferential distance have some license to remain a bit clouded and not reach full clarity in short sentences. And I think it is perfectly fair to classify someone that you can’t make sense of to be a nutjob while that distance remains.
I does feel like isolated demand of rigour. Mathematicians writing to other mathematicians about new results seems like a fair comparison of speech activity and this expresses a similar level of confidence (carefully combed analysis willing to defend but open to being wrong and open to details on questioning).
I don’t understand what the two types that would make a type error would be. Both are the one shared by “It can be shown that an angle can not be trisected with compass and ruler”. People that are far in inferential distance have some license to remain a bit clouded and not reach full clarity in short sentences. And I think it is perfectly fair to classify someone that you can’t make sense of to be a nutjob while that distance remains.