   Another important issue often discussed in connection with logical atomism worth discussing in greater detail is the supposition that atomic propositions are logically independent of each other, or that the truth or falsity of any one atomic proposition does not logically imply or necessitate the truth or falsity of any other atomic proposition. This supposition is often taken to be a central aspect of the very notion of “logical atomism”, perhaps largely because it is found explicitly in Wittgenstein’s Tractatus Logico-Philosophicus, almost certainly the most important account of a logical atomist philosophy found outside of Russell’s work. Wittgenstein claimed: 