I would say that it does point out something interesting...That valid classification systems based on this criterion may disagree.
Can you clarify more exactly what you mean by “valid?” Because my initial reaction is that of course, you can come up with many classification systems for any set of things. It’s not yet clear to me what interesting thing we can take away about how people are using the classifications of “true” and “false”, other than the fact that they don’t work very well for classifying certain unusual statements.
It seems to me that we have seen people in this thread advocate two value logics, three value logics, and four value logics. You can have workable systems of logic with and without the law of the excluded middle, and with and without a law of contradiction. There are intuitionistic logics, relevance logics, classically consistent and paraconsistent logics. To say nothing of linear logic, modal logics, and ludics.
Follow the links to the SEP articles on dialethi and paraconsistency. And then follow the citations from there to learn that logic is pretty big and flexible field.
Can you clarify more exactly what you mean by “valid?” Because my initial reaction is that of course, you can come up with many classification systems for any set of things. It’s not yet clear to me what interesting thing we can take away about how people are using the classifications of “true” and “false”, other than the fact that they don’t work very well for classifying certain unusual statements.
It seems to me that we have seen people in this thread advocate two value logics, three value logics, and four value logics. You can have workable systems of logic with and without the law of the excluded middle, and with and without a law of contradiction. There are intuitionistic logics, relevance logics, classically consistent and paraconsistent logics. To say nothing of linear logic, modal logics, and ludics.
Follow the links to the SEP articles on dialethi and paraconsistency. And then follow the citations from there to learn that logic is pretty big and flexible field.