The Law of Non-Contradiction holds that both sides of a contradiction cannot be true. Dialetheism is the view that there are contradictions both sides of which are true. Crucial to the dispute, then, is the central notion of contradiction. My first step here is to work toward clarification of that simple and central notion: Just what is a contradiction?

Though my ultimate concern is with issues in epistemology and metaphysics, let me phrase the central question I will pursue in terms evocative of philosophy of religion: What are the implications of our logic-in particular, of Cantor and G6del-for the possibility of omniscience?

My aim in this paper is to critically assess Plantinga’s modal ontological argument for existence of God, such as it is presented in the book “The Nature of Necessity”. Plantinga tries to show that this argument is valid and it is rational to believe in his main premise, namely “there is a possible world in which maximal greatness is instantiated”. On the one hand, I want to show that this argument is logically valid in both systems B and S5 of (...) modal logic. On the other hand, I think that this argument is not a good argument to show that God exists or that it is rational to believe in God. (shrink)