Take the claim about one object: “It is a tree or a stone.” A thing genuinely classified as a tree is not, in the same respect, a stone.
This can be an exclusion-of-joint-truth: the object cannot be both, yet a book may be neither. Viewed by the source of incompatibility, it is also oppositional because the contrast follows from the concepts.
These are not competing labels on a single axis. One identifies what is excluded, the other why the exclusion holds.
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Further Conditional Divisions, Quantification and Conditional Quantifiers
Take the claim about one object: “It is a tree or a stone.” A thing genuinely classified as a tree is not, in the same respect, a stone.
This can be an exclusion-of-joint-truth: the object cannot be both, yet a book may be neither. Viewed by the source of incompatibility, it is also oppositional because the contrast follows from the concepts.
These are not competing labels on a single axis. One identifies what is excluded, the other why the exclusion holds.