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Ice by itself can get colder than 32 F, but if there's any water present, and there alway is, unless it's January in Alaska, the ice/water mixture can NOT get colder than 32F. Basic law of physics.
Adding salt, you create a solution, and the temp of the ice/salt water mixture can drop much lower than 32F, so the beer gets colder faster. So does the ice cream.
You can thaw your walks with salt because the salt creates a solution and the freezing point of the ice lowers to the point that it's lower than the air temp. When the freezing point is lower than the ambient temp, the ice melts. Salting your walk when it's -50F probably won't work, it's just too cold.
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