If non-existent objects possess determinate properties, then the difference between being and non-being is itself ontologically significant, not merely a categorial distinction within being.

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Determinate properties(as used in metaphysics and philosophy of language): Specific, definite characteristics or qualities that something has—like having a precise age or exact location, rather than vague or unclear ones.
Ontological: "Ontological" refers to questions about what actually exists or is real. It's concerned with the fundamental nature of being—asking "What kinds of things are there?" rather than "How do we know about them?" For example, an ontological question might be whether numbers, ideas, or God actually exist as real things, or if they're just human inventions.
being and non-being(in metaphysics): Existence versus non-existence—the fundamental difference between things that are real and things that are not.
categorial distinction(in logic and metaphysics): A difference between different types or categories of things, rather than a difference about whether something exists at all.

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