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Wikipedia:Aristotle's Metaphysics was divided into three parts, in addition to some smaller sections related to a philosophical lexicon and some reprinted extracts from the Physics, which are now regarded as the proper branches of traditional Western metaphysics:
[...]
Universal science
The study of first principles, which Aristotle believed to be the foundation of all other inquiries. An example of such a principle is the law of noncontradiction and the status it holds in non-paraconsistent logics.
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If that example demonstrates that metaphysics is a subset of logic, then cars are also a subset of logic as demonstrated by this example:
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I haven't said that humans are a subset of logic but that
Being human is.
Then a question what it means to
be a car is also metaphysical.
Then you have questions in metaphysics like: "Do unicorns have one horn?" which are about what it means to be a unicorn.
And do cars have the attribute of
Being in a way that results in unicorns having one horn?
That question isn't really about cars but about metaphysics.
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Classical logical stuff yes, but it seems more about the nature of language (and I suppose mathematics) than about the nature of reality.
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Metaphysics is about first principles.
You begin with something like their is an reality. Then you go on to say that their are things you can say about reality that are true and that their are also things about reality that are false (logic).
You need to do a bit of work before you can do interesting stuff like proofs of God's existence.