Bernard Anthony Worthington

The argument rests on earlier work questioning the Russellian separation of levels and arguing that Russellian levels should be taken to include the levels of particle and aggregate, and generality and detail. That earlier work argues from the non-separation of particle and aggregate that predictability is limited and that physics cannot come to an end. This leads to a view of the world as flux. Identifiable objects demanding explanation can only be temporary entities emerging from flux and explanation can only be local and historical. This precludes explanation of totality and leads us to reject Leibniz’s question. Baldwin’s argument from possible worlds theory that a null world is possible is examined and questioned. Koon’s combination of the kalam argument with the grim reaper paradox is not queried but a way is found of circumventing it. It is noted in passing that the argument does not have the anti-theistic implications which may appear.

In the Tractatus Russell’s caveat against linguistic reflexivity becomes a caveat against reflective thought. The paper explores the relation between these. There is a connection, perhaps exemplified by 1789, between reflection on one’s assumptions and change. The same connection may be exemplified by violation of Russell’s system of levels. Even though Russell never explored this area, they will be violated by interactions of the macroscopic and microscopic. These interactions, like the philosophical questioning of assumptions, are a source of change and instability, of the failure of assumptions or presuppositions, and with it of aporia. Russell’s system of levels precludes these. An aim of avoiding presupposition failure links type theory to “On Denoting.” It is likely that the resistance to reflexivity has its origin in Russell’s rejection of the philosophy of Hegel where reflective thought is the motor of historical development.