I think you need to unpack the predicate "to exist" if you intend to meaningfully answer the question. To my mind, attempting to use a "bog standard" definition of the predicate will only lead to difficulty and error. The more time I spend with philosophical questions, the more inclined I am to agree with Wittgenstein that what many presume are philosophical problems are actually language problems, caused by careless and unthinking use of language. I keep coming to the same conclusion that, in philosophy, you can't truly resolve a question without a comprehensive theory of meaning, or what it means to mean. If you don't have a clear view toward what "to exist" means, how can you hope to fruitfully approach the question?
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