We present a deductive theory of space-time which is realistic, objective, and relational. It is realistic because it assumes the existence of physical things endowed with concrete properties. It is objective because it can be formulated without any reference to cognoscent subjects or sensorial fields. Finally, it is relational because it assumes that space-time is not a thing but a complex of relations among things. In this way, the original program of Leibniz is consummated, in the sense that space is (...) ultimately an order of coexistents, and time is an order of succesives. In this context, we show that the metric and topological properties of Minkowskian space-time are reduced to relational properties of concrete things. We also sketch how our theory can be extended to encompass a Riemannian space-time. (shrink)

In this paper, I want eventually to get around to proposing a criterion of identity for events which are changes in physical objects, where events are construed as comprising a distinct metaphysical category of thing. The proposal will be preceded by a discussion of what I take to be a mistaken suggestion for such a criterion; I will do that because I think that seeing what it takes to show why that suggestion fails helps to motivate a theory about what (...) it is to be an event; and that theory wi II supply the conceptual foundations for my proposal concerning the criterion of identity for events. Before that suggestion is discussed, however, I want to discuss briefly an aspect of the question, Why do we have to give a criterion of identity for events, or for objects of any sort whatsoever? I want to have a brief look at the connection between identity criteria and the idea of a kind of object. (shrink)

Clear, comprehensive, intermediate introduction to logical languages, applications of symbolic logic to physics, mathematics, biology.

"The Analysis of Matter" is one of the earliest and best philosophical studies of the new physics of relativity and quantum mechanics.

I present a discussion of some issues in the ontology of spacetime. After a characterisation of the controversies among relationists, substantivalists, eternalists, and presentists, I offer a new argument for rejecting presentism, the doctrine that only present objects exist. Then, I outline and defend a form of spacetime realism that I call event substantivalism. I propose an ontological theory for the emergence of spacetime from more basic entities. Finally, I argue that a relational theory of pre-geometric entities can give rise (...) to substantival spacetime in such a way that relationism and substantivalism are not necessarily opposed positions, but rather complementary. In an appendix I give axiomatic formulations of my ontological views. (shrink)

When The Concept of Nature by Alfred North Whitehead was first published in 1920 it was declared to be one of the most important works on the relation between philosophy and science for many years, and several generations later it continues to deserve careful attention. Whitehead explores the fundamental problems of substance, space and time, and offers a criticism of Einstein's method of interpreting results while developing his own well-known theory of the four-dimensional 'space-time manifold'. With a specially commissioned new (...) preface written by Michael Hampe, this book is presented in a fresh series livery for the twenty-first century for a new generation of readers. (shrink)

Presents a synoptic, compact, and accessible exposition of this influential and interesting sector of twentieth-century American philosophy.

The Cyrenaic school of philosophy (named after its founder Aristippus’ native city of Cyrene in North Africa) flourished in the fifth and fourth centuries BCE. Ugo Zilioli’s book provides the first book-length introduction to the school in English. The book begins by introducing the main figures of the Cyrenaic school beginning with Aristippus and by setting them into their historical context. Once the reader is familiar with those figures and with the genealogy of the school, the book offers an overview (...) of ancient and modern interpretations of the Cyrenaics, to provide readers with alternative accounts of the doctrines they endorsed and of the role they played in the context of ancient thought. Finally, the book offers a reconstruction of Cyrenaic philosophy and shows how the ethical side of their speculation connected with the epistemology and ontology they endorsed and that, as a result, the Cyrenaics were able to offer a quite sophisticated philosophy. Indeed, Zilioli demonstrates that they represented, in ancient philosophy, an important and original metaphysical position and alternative to the kind of realism endorsed by Plato and Aristotle. (shrink)

I present a formal ontological theory where the basic building blocks of the world can be either things or events. In any case, the result is a Parmenidean worldview where change is not a global property. What we understand by change manifests as asymmetries in the pattern of the world-lines that constitute 4-dimensional existents. I maintain that such a view is in accord with current scientific knowledge.

We present a formal analysis of the Cosmological Argument in its two main forms: that due to Aquinas, and the revised version of the Kalam Cosmological Argument more recently advocated by William Lane Craig. We formulate these two arguments in such a way that each conclusion follows in first-order logic from the corresponding assumptions. Our analysis shows that the conclusion which follows for Aquinas is considerably weaker than what his aims demand. With formalizations that are logically valid in hand, we (...) reinterpret the natural language versions of the premises and conclusions in terms of concepts of causality consistent with (and used in) recent work in cosmology done by physicists. In brief: the Kalam argument commits the fallacy of equivocation in a way that seems beyond repair; two of the premises adopted by Aquinas seem dubious when the terms ‘cause’ and ‘causality’ are interpreted in the context of contemporary empirical science. Thus, while there are no problems with whether the conclusions follow logically from their assumptions, the Kalam argument is not viable, and the Aquinas argument does not imply a caused origination of the universe. The assumptions of the latter are at best less than obvious relative to recent work in the sciences. We conclude with mention of a new argument that makes some positive modifications to an alternative variation on Aquinas by Le Poidevin, which nonetheless seems rather weak. (shrink)

This provocative book attempts to resolve traditional problems of identity over time. It seeks to answer such questions as 'How is it that an object can survive change?' and 'How much change can an object undergo without being destroyed'? To answer these questions Professor Heller presents a theory about the nature of physical objects and about the relationship between our language and the physical world. According to his theory, the only actually existing physical entities are what the author calls 'hunks', (...) four-dimensional objects extending across time and space. This is a major contribution to ontological debate and will be essential reading for all philosophers concerned with metaphysics. (shrink)

The paper presents a revised view of quantum mechanics centered on the notion (“genuine fortuitousness”) that the click in a counter is a totally lawless event, which comes by itself. A crucial point is the distinction between events on the spacetime scene and the content of the symbolic algorism. A revised conception of matrix variables emerges, by which such a variable, as part of a whole, does not have a value, under any circumstance. This conception is at variance with that (...) of indeterminate variables. A matrix variable not having a value does not enter spacetime and is not a measurable quantity, but manifests itself by a click in a counter with the remarkable property of having an onset, a beginning, from which the click develops. The individual click with its immense complexity is unique and lawless, even beyond probability. The notion of probability only applies to clicks in low resolution, and the completeness of a probabilistic theory is thereby seen in a new perspective. The genuinely fortuitous click is not produced by the impact of a particle, nor caused by an event in the source prior to the click in the counter. Indeed, there are no particles on the spacetime scene. The theory is thereby liberated from notions, which go with particles having indeterminate variables, and which have given to quantum mechanics the image of an unfathomable theory. With no particle as intermediary, the connection between source and detector is non-local, as is the entire theory, which deals exclusively with distributions of clicks. The locality permeating quantum mechanics is a symbolic one. The wave function enters in the sole role of encoding the probability distributions of clicks. The quest to understand the occurrence of the click in terms of the evolution of the wave function loses its meaning. However, click distributions in low resolution can be analyzed in terms of the connection between click distributions for different sets of counters, as given by the wave function. With increasing resolution, the probabilities, and the wave function, gradually lose significance, whereby the onset remains beyond reach. Thus, the downward path from events on the spacetime scene does not extend beyond the onset. The notion that quantum mechanics deals with particles (or fields) is rooted in the historical evolution but appears unable to accomodate genuine fortuitousness. The latter concept is given its due place by fully accepting the abstract nature of the matrix variables. (shrink)

I argue for a four dimensional, non-dynamical view of space-time, where becoming is not an intrinsic property of reality. This view has many features in common with the Parmenidean conception of the universe. I discuss some recent objections to this position and I offer a comparison of the Parmenidean space-time with an interpretation of Heraclitus’ thought that presents no major antagonism.

The contents of this book were originally delivered at Trinity College in the autumn of 1919 as the inaugural course of Tarner lectures.