Online research in philosophy

This text brings together a collection of new essays by a number of philosophers to honor Hugh Mellor's contribution to philosophy. The collection stands as an original exploration of some of the most central issues in philosophy.

I offer an argument regarding chances that appears to yield a dilemma: either the chances at time t must be determined by the natural laws and the history through t of instantiations of categorical properties, or the function ch(•) assigning chances need not satisfy the axioms of probability. The dilemma's first horn might seem like a remnant of determinism. On the other hand, this horn might be inspired by our best scientific theories. In addition, it is entailed by the familiar view that facts about chances at t are ontologically reducible to facts about the laws and the categorical history through t. However, that laws are ontologically prior to chances stands in some tension with the view that chances are governed by laws just as categorical-property instantiations are. The dilemma's second horn entails that if chances are in fact probabilities, then this is a matter of natural law rather than logical or conceptual necessity. I conclude with a suggestion for going between the horns of the dilemma. This suggestion involves a generalization of the notion that chances evolve by conditionalization. Introduction "Chances evolve by conditionalization" How might the lawful magnitude principle be defended? A historical interlude What if chances failed to be determined by the laws and categorical facts?

In this paper, criticisms are made of the main tenets of Professor Mellor's argument against ‘backwards’ causation. He requires a closed causal chain of events if there is to be ‘backwards’ causation, but this condition is a metaphysical assumption which he cannot totally substantiate. Other objections to Mellor's argument concern his probabilistic analysis of causation, and the use to which he puts this analysis. In particular, his use of conditional probability inequality to establish the ‘direction’ of causation is shown to be in error. 1I am indebted to Drs H. Krips, L. O'Neill and to the anonymous referee for their suggestions and critical comments on earlier drafts.

Mellor's subject is singular causation between facts, expressed 'E because C'. His central requirement for causation is that the chance that E if C be greater than the chance that E if $\sim \text{C}\colon \ ch_{\text{C}}(\text{E})>ch_{\sim \text{C}}$ (E). The book is as much about chance as it is about causation. I show that his way of distinguishing chC(E) from the traditional notion of conditional chance leaves him with a problem about the existence of chQ(P) when Q is false (Section 3); and also that any notion of chance which conforms to the standard calculus has wider application than the causal instances to which Mellor's notion is restricted (Section 8). Other topics discussed may be gleaned from the headings below.

The Facts of Causation grapples with one of philosophy's most enduring issues. Causation is central to all of our lives. What we see and hear causes us to believe certain facts about the world. We need that information to know how to act and how to cause the effects we desire. D. H. Mellor, a leading scholar in the philosophy of science and metaphysics, offers a comprehensive theory of causation. Many questions about causation remain unsettled. In science, the indeterminism of modern physics and genetics have made such questions considerably harder for philosophers to answer. While progress has been made, a complete account of the nature and cosequences of causation is long overdue. This major study provides that account.

Mellor's subject is singular causation between facts, expressed ‘E because C’. His central requirement for causation is that the chance that E if C be greater than the chance that E if C: chc(E)>chc(E). The book is as much about chance as it is about causation. I show that his way of distinguishing chc (E) from the traditional notion of conditional chance leaves than him with a problem about the existence of chQ(P) when Q is false (Section 3); and also that any notion of chance which conforms to the standard calculus has wider application than the causal instances to which Mellor's notion is restricted (Section 8). Other topics discussed may be gleaned from the headings below. 1 Review of D.H. Mellor [1995]: The Facss of Causation, London, Routledge, International Library of Philosophy.