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Is it possible for a Cowboy to have a gun, but not a hat?
- Equivalently, does not having a hat imply not having a gun?
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Is it possible for a gun to exist without a horse?
- Equivalently, does the non-existence of a horse imply the non-existence of a gun?
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Is it possible for a horse to exist without a gun?
- Does the non-existence of a gun imply the non-existence of a horse?
(Note that the two conjectures above are not quite the same.)
- Are horses and guns like matter and anti-matter being spontaneously created (or extended) and destroyed like quantum foam?
These are deep questions. I must ponder them.