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Ernst Mach asserted the the world consists entirely of sensations. Does this make him a solipsist, and how might one refute him?

I'm not an authority on Mach, but (as Peter Lipton suggests) some of the philosophers who believe that “the world consists entirely of sensations” do not think they are thereby committed to solipsism. One obstacle for this view is how to account for the possibility that more than one mind can perceive the same object. When I see a table, on this view, the table is just a collection of sensations in my mind. When you see a table, it’s a collection of sensations in your mind. So how is it possible for us to see the same table?