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In his article “An Approach to Intensional Analysis” (published in Noûs 1971), Pavel Tichý defended the view that individuals in the universe of discourse should be testable physical objects and all possible worlds should have the same universe of discourse. This entails that physical individuals are necessary entities and in the case of temporal worlds it entails the conclusion that they are eternal entities. In this article the reasons leading P. Tichý to this view are analysed, and the conclusion is reached that his argumentation holds only in a narrower sense of existence test.