Logical incompatibility between determinates can be stipulated as a primitive necessary truth without appeal to partial identity, as Johansson and others in the neo-Aristotelian tradition argue.
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Partial identity(an alternative explanation that some philosophers avoid)
The idea that two things might overlap or share something in common, but not be completely identical.
Primitive necessary truth(the kind of claim being made about logical incompatibility)
A basic fact about how reality works that doesn't need to be explained by anything simpler—it just has to be true (like how a triangle must have three sides).
Stipulated(as used in logic and reasoning)
Assumed or agreed upon for the sake of argument, without needing to prove it first.