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Imagination will give you something to think about, but it alone will not tell you which thoughts are correct.

I guess yes? Why would it cease to exist if no one experienced it? It wouldn't change its physical properties.

That question isn’t as deep as you think it is.

If we accept the existence of that which cannot by definition be observed in any way... then is that not an infinitely large category?

These kind of trick questions are variations of the tree falling when no one heard it. They aren't asking "did it generate soundwaves?", they're asking "if sound included perception, did it make a sound?". It's weird to ask questions like these outside quantum mechanics, where observation actually affects the result.

https://en.wikipedia.org/wiki/If_a_tree_falls_in_a_forest_an...