Symbolize each of the following using propositional modal logic. For each modal operator you use, suggest what its intended strength might be. 1. It is necessarily the case that if Snow is white then it's possible for snow to be white. 2. Its being clear, sunny, and cold is sufficient for its being a beautiful day. 3. It is impossible to travel faster than the speed of light, unless a miracle happens. 4. If either skiing or snowboarding is possible, then we should go outside.

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