Summary This paper deals with the structure of the so-called c-inductive arguments in Richard Swinburne’s book The Existence of God and attempts to criticize their central concepts and assumptions. One of these concepts is simplicity: it is argued that Swinburne’s concept of simplicity is not unambiguous and that there is no reason to assume a positive correspondence between simplicity and probability. Furthermore, the theistic hypothesis cannot be said to be simple in any sense relevant to Swinburne. The second important concept (...) is explanatory power. It is argued that the method of determining a theory’s probability by means of its explanatory power cannot be applied to the case of theism. Finally, polytheism is considered and it is argued that according to his own principles Swinburne has actually no sufficient reason to prefer monotheism. (shrink)