Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical properties and relations and, by so doing, draws mathematics back from its sterile, abstract exile into the midst of the physical world.

Presentism faces a serious challenge from truthmaker theory. Standard solutions to the truthmaker objection against presentism proceed in one of two ways. Easy road presentists invoke new entities to satisfy the requirements of truthmaker theory. Hard road presentists, by contrast, flatly refuse to give in to truthmaker demands. Recently, a third way has been proposed. This response seeks to address the truthmaking problem by tensing our truthmaker principles. These views, though intuitive, are under-developed. In this paper, I get serious about (...) a fundamentally tensed approach to truthmaking by sketching out the underlying ontological picture needed to make sense of tensed truthmaker theory. (shrink)

In this short text, a distinguished philosopher turns his attention to one of the oldest and most fundamental philosophical problems of all: How it is that we are able to sort and classify different things as being of the same natural class? Professor Armstrong carefully sets out six major theories—ancient, modern, and contemporary—and assesses the strengths and weaknesses of each. Recognizing that there are no final victories or defeats in metaphysics, Armstrong nonetheless defends a traditional account of universals as the (...) most satisfactory theory we have.This study is written for advanced students, but as Armstrong goes considerably beyond his earlier work on this topic, it will interest professional scholars as well. Carefully plotted and clearly written, Universals is both a paradigm of exposition and a case study on the value of careful analysis of fundamental issues in philosophy. (shrink)

This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

This book is concerned with the history of metaphysics since Descartes. Taking as its definition of metaphysics 'the most general attempt to make sense of things', it charts the evolution of this enterprise through various competing conceptions of its possibility, scope, and limits. The book is divided into three parts, dealing respectively with the early modern period, the late modern period in the analytic tradition, and the late modern period in non-analytic traditions. In its unusually wide range, A. W. Moore's (...) study refutes the tired old cliché that there is some unbridgeable gulf between analytic philosophy and philosophy of other kinds. It also advances its own distinctive and compelling conception of what metaphysics is and why it matters. Moore explores how metaphysics can help us to cope with continually changing demands on our humanity by making sense of things in ways that are radically new. (shrink)

In this important study D. M. Armstrong offers a comprehensive system of analytical metaphysics that synthesises but also develops his thinking over the last twenty years. Armstrong's analysis, which acknowledges the 'logical atomism' of Russell and Wittgenstein, makes facts the fundamental constituents of the world, examining properties, relations, numbers, classes, possibility and necessity, dispositions, causes and laws. All these, it is argued, find their place and can be understood inside a scheme of states of affairs. This is a comprehensive and (...) rigorously this-worldly account of the most general features of reality, argued from a distinctive philosophical perspective, and it will appeal to a wide readership in analytical philosophy. (shrink)

Here, I defend the view that there is no sensible way to pin a truth-maker objection on presentism. First, I suggest that if we adopt truth-maker maximalism then the presentist can requisition appropriate ontological resources with impunity. Second, if we deny maximalism, then the presentist can sensibly restrict the truth-maker principle in order to avoid the demand for truth-makers for talk about the non-present.

A realist theory of truth for a class of sentences holds that there are entities in virtue of which these sentences are true or false. We call such entities ‘truthmakers’ and contend that those for a wide range of sentences about the real world are moments (dependent particulars). Since moments are unfamiliar, we provide a definition and a brief philosophical history, anchoring them in our ontology by showing that they are objects of perception. The core of our theory is the (...) account of truthmaking for atomic sentences, in which we expose a pervasive ‘dogma of logical form’, which says that atomic sentences cannot have more than one truthmaker. In contrast to this, we uphold the mutual independence of logical and ontological complexity, and the authors outline formal principles of truthmaking taking account of both kinds of complexity. (shrink)

An under-explored intermediate position between traditional materialism and traditional idealism is the view that although the spatiotemporal world is purely material, minds nonetheless have a metaphysically special place in it. One way this can be is via a special role that subjects have in the metaphysics of material objects. Some metaphysical aspect of material objects might require the existence of subjects. This would support that minds must exist if material objects exist and thus that a mindless material world is impossible. (...) This view, labeled the subjectivity thesis by Anton Friedrich Koch, was defended by him with an intriguing, purely metaphysical argument connected to the individuation of material objects in space and time. The present paper hopes to make progress on assessing the viability of such a position. It starts by critically examining Koch's argument for the subjectivity thesis, as well as similar arguments that give minds a central place in the metaphysics of material objects via considerations about identity and difference. It then compares these ideas to similar ones in the philosophy of time, and concludes with an outlook on whether such a position is viable and what needs to be done to fill the gaps unearthed along the way. (shrink)

I argue for a version of tense-logical realism that privileges tensed facts without privileging any particular temporal standpoint from which they obtain.

This paper asks whether we should accept a weakened version of the truthmaker principle: namely, the claim that truth supervenes on being, in which 'being' is understood as whether things are. I consider a number of positive answers to this question, including the following: that the truthmaker principle is a requirement of any plausible explanation of truth; that the principle must be accepted, if we are to do justice to the Wittgensteinian insight that the world is the totality of facts, (...) not of things; and that the correctness of the principle is a necessary condition of a realist metaphysics. In my view, none of these attempts to motivate the truthmaker principle is satisfactory. (shrink)

How do we come to know metaphysical truths? How does metaphysical inquiry work? Are metaphysical debates substantial? These are the questions which characterize metametaphysics. This book, the first systematic student introduction dedicated to metametaphysics, discusses the nature of metaphysics - its methodology, epistemology, ontology and our access to metaphysical knowledge. It provides students with a firm grounding in the basics of metametaphysics, covering a broad range of topics in metaontology such as existence, quantification, ontological commitment and ontological realism. Contemporary views (...) are discussed along with those of Quine, Carnap and Meinong. Going beyond the metaontological debate, thorough treatment is given to novel topics in metametaphysics, including grounding, ontological dependence, fundamentality, modal epistemology, intuitions, thought experiments and the relationship between metaphysics and science. The book will be an essential resource for those studying advanced metaphysics, philosophical methodology, metametaphysics, epistemology and the philosophy of science. (shrink)

Reference and Existence, Saul Kripke's John Locke Lectures for 1973, can be read as a sequel to his classic Naming and Necessity. It confronts important issues left open in that work -- among them, the semantics of proper names and natural kind terms as they occur in fiction and in myth; negative existential statements; the ontology of fiction and myth. In treating these questions, he makes a number of methodological observations that go beyond the framework of his earlier book -- (...) including the striking claim that fiction cannot provide a test for theories of reference and naming. In addition, these lectures provide a glimpse into the transition to the pragmatics of singular reference that dominated his influential paper, " Speaker's Reference and Semantic Reference " -- a paper that helped reorient linguistic and philosophical semantics. Some of the themes have been worked out in later writings by other philosophers -- many influenced by typescripts of the lectures in circulation -- but none have approached the careful, systematic treatment provided here. The virtuosity of Naming and Necessity -- the colloquial ease of the tone, the dazzling, on-the-spot formulations, the logical structure of the overall view gradually emerging over the course of the lectures -- is on display here as well. (shrink)

Truthmaker theory promises to do some useful philosophical work: equipping us to argue against phenomenalism and Rylean behaviourism, for instance, and helping us decide what exists (Lewis 1999, 207; Armstrong 1997, 113-119). But it has proved hard to formulate a truthmaker theory that is both useful and believable. I want to suggest that a neglected approach to truthmakers – that of Ian McFetridge – can surmount some of the problems that make other theories of truthmaking unattractive. To begin with, I’ll (...) outline some of the most prominent accounts of truthmaking in the current literature. Then the second part of the paper will explain McFetridge’s theory and argue for its superiority over these accounts. (shrink)

Consider a certain red rose. The proposition that the rose is red is true because the rose is red. One might say as well that the proposition that the rose is red is made true by the rose’s being red. This, it has been thought, does not commit one to a truthmaker of the proposition that the rose is red. For there is no entity that makes the proposition true. What makes it true is how the rose is, and how (...) the rose is is not an entity over and above the rose. It is against this view that I shall argue in this paper. I shall argue that a significant class of true propositions, including inessential predications like the proposition that the rose is red, are made true by entities. "No truthmaking without truthmakers" is my slogan. Although I have my view about what kinds of entities are truthmakers, I shall not argue for or presuppose that view here. All I shall argue for here is that if a proposition is made true by something, it is made true by some thing, but my argument will leave it open what kind of thing that thing is: it could be a fact or state of affairs, a trope, or any other sort of entity. (shrink)

During the realist revival in the early years of this century, philosophers of various persuasions were concerned to investigate the ontology of truth. That is, whether or not they viewed truth as a correspondence, they were interested in the extent to which one needed to assume the existence of entities serving some role in accounting for the truth of sentences. Certain of these entities, such as the Sätze an sich of Bolzano, the Gedanken of Frege, or the propositions of Russell (...) and Moore, were conceived as the bearers of the properties of truth and falsehood. Some thinkers however, such as Russell, Wittgenstein in the Tractatus, and Husserl in the Logische Untersuchungen, argued that instead of, or in addition to, truth-bearers, one must assume the existence of certain entities in virtue of which sentences and/or propositions are true. Various names were used for these entities, notably 'fact', 'Sachverhalt', and 'state of affairs'. (1) In order not to prejudge the suitability of these words we shall initially employ a more neutral terminology, calling any entities which are candidates for this role truth-makers. (shrink)

This chapter replies to arguments, advanced by Gonzalo Rodriguez–Pereyra, for thinking that the intuitions that have inspired theories of truthmaking cannot be accommodated without commitment to truth-making entities. It contains a suggestion about why, even if there are no entities that make propositions true, we should nonetheless be apt to think of truth as grounded. The advocates of truthmakers engage sometimes in a specifically ontological enquiry of a wide-ranging sort, sometimes in the project of understanding truth. Inasmuch as Rodriguez–Pereyra's manner (...) of defending a truthmaker principle makes connections with both of these projects, the objections to his account made in the chapter rebound on them both. (shrink)