Online research in philosophy

In an important departure from current theories of causation, David Owens proposes that coincidences have no causes, and that a cause is something that ensures that its effects are no coincidence. He elucidates the idea of a coincidence as an event that can be divided into constituent events, the nomological antecedents of which are independent of each other. He also suggests that causal facts can be analyzed in terms of non-causal facts, including relations of necessity. Thus, causation is defined in terms of coincidence, and coincidence without reference to causation. In a book that will be of particular interest to those concerned with the role of causation in the philosophy of mind, David Owens challenges ideas of Hume, Davidson and Lewis, and offers novel solutions to the problems still confronting theorists of causation.

Although all mathematical truths are necessary, mathematicians take certain combinations of mathematical truths to be ‘coincidental’, ‘accidental’, or ‘fortuitous’. The notion of a ‘mathematical coincidence’ has so far failed to receive sufficient attention from philosophers. I argue that a mathematical coincidence is not merely an unforeseen or surprising mathematical result, and that being a misleading combination of mathematical facts is neither necessary nor sufficient for qualifying as a mathematical coincidence. I argue that although the components of a mathematical coincidence may possess a common explainer, they have no common explanation; that two mathematical facts have a unified explanation makes their truth non-coincidental. I suggest that any motivation we may have for thinking that there are mathematical coincidences should also motivate us to think that there are mathematical explanations, since the notion of a mathematical coincidence can be understood only in terms of the notion of a mathematical explanation. I also argue that the notion of a mathematical coincidence plays an important role in scientific explanation. When two phenomenological laws of nature are similar, despite concerning physically distinct processes, it may be that any correct scientific explanation of their similarity proceeds by revealing their similarity to be no mathematical coincidence.

In 'Does Four-Dimensionalism Explain Coincidence?' Mark Moyer argues that there is no reason to prefer the four-dimensionalist (or perdurantist) explanation of coincidence to the three-dimensionalist (or endurantist) explanation. I argue that Moyer's formulations of perdurantism and endurantism lead him to overlook the perdurantist's advantage. A more satisfactory formulation of these views reveals a puzzle of coincidence that Moyer does not consider, and the perdurantist's treatment of this puzzle is clearly preferable.

Coincidence (e.g., of a statue and the piece of bronze which constitutes it) comes in two varieties – permanent and temporary. Moderate monism (about coincidence) is the position that permanent coincidence, but not temporary coincidence, entails identity. Extreme monism (also known as the stage theory) is the position that even temporary coincidence entails identity. Pluralists are opponents of monism tout court. The intuitively obvious, commonsensical position (= my own position) is moderate monism. It is therefore important to see if it can be sustained.

Things change. If anything counts as a datum of metaphysics, that does. Change occurs in many ways: it can be accidental or substantial; essential or non-essential; intrinsic or extrinsic; subjective (a change in the knower) or objective (a change in the known). Changes can be physical, spatial, quantitative, qualitative, natural, artefactual, conceptual, linguistic. Events are arguably best defined as changes in an object or objects. All change is from something and into something, and hence is at least a two-term relation, involving a term from which and a term to which.

Puzzles about persistence and change through time, i.e., about identity across time, have foundered on confusion about what it is for ‘two things’ to be have ‘the same thing’ at a time. This is most directly seen in the dispute over whether material objects can occupy exactly the same place at the same time. This paper defends the possibility of such coincidence against several arguments to the contrary. Distinguishing a temporally relative from an absolute sense of ‘the same’, we see that the intuition, ‘this is only one thing’, and the dictum, ‘two things cannot occupy the same place at the same time’, are individuating things at a time rather than absolutely and are therefore compatible with coincidence. Several other objections philosophers have raised ride on this same ambiguity. Burke, originating what has become the most popular objection to coincidence, argues that if coincidence is possible there would be no explanation of how objects that are qualitatively the same at a time could belong to different sorts. But we can explain an object’s sort by appealing to its properties at other times. Burke’s argument to the contrary equivocates on different notions of ‘cross-time identity’ and ‘the statue’. From a largely negative series of arguments emerges a positive picture of what it means to say multiple things coincide and of why an object’s historical properties explain its sort rather than vice versa – in short, of how coincidence is possible.

The aim of this paper is to offer a classification of particulars in terms of their relations to spatiotemporal and spatial regions. It begins with an examination of spatiotemporal particulars, and then explores the extent to which a parallel account can be offered of continuants, or spatial particulars that can endure and change over time, assuming such particulars exist. For every spatial particular there are spatiotemporal particulars that can be described as its life and parts thereof. But not every time-slice of a spatiotemporal particular yields a spatial region suitable for hosting a corresponding spatial particular. Events are spatiotemporal particulars though not all spatiotemporal particulars are events. Objects and states are spatial particulars though not all spatial particulars are objects or states. Spatial and spatiotemporal particulars can be either bare regions, or the contents or material contents of such regions, or property instantiations. It is left open whether events are contents of regions, property instantiations, or both. But it is argued that objects are material contents of spatial regions while states of objects are property instantiations. Spatiotemporal particulars can be changes or nonchanges. Events and states can be instantaneous while objects cannot.