Representing the world is a puzzling thing. How can it be that mundane events such as processing a thought--and from there putting those thoughts into words--acquire this property of 'aboutness'? How can expressions, which depend on anything from the most fundamental regularities in the universe to trivial matters of gossip, be either true or false? In The Metaphysics of Representation, J. Robert G. Williams tells a story about how representational properties arise out of a fundamentally non-representational world. The representational properties of language are reduced, via convention, to the representational properties of thoughts. The representational properties of thoughts are reduced, via principles of rationalization, to the representational properties of perception and intention. And this most fundamental layer of representation is explained in terms of the functions they have to communicate. Williams integrates work from rival traditions to present a combined perspective in the metaphysics of representation, give new predictions and explanations of representational phenomena, and offer new solutions to long-standing problems.

In The Structure of the World, Steven French articulates and defends the bold claim that there are no objects. At the most fundamental level, modern physics presents us with a world of structures and making sense of that view is the central aim of the increasingly widespread position known as structural realism. Drawing on contemporary work in metaphysics and philosophy of science, as well as the 'forgotten' history of structural realism itself, French attempts to further ground and develop this position. He argues that structural realism offers the best way of balancing our need to accommodate the results of modern science with our desire to arrive at an appropriately informed understanding of the world that science presents to us. Covering not only the realism-antirealism debate, the nature of representation, and the relationship between metaphysics and science, The Structure of the World defends a form of eliminativism about objects that sets laws and symmetry principles at the heart of ontology. In place of a world of microscopic objects banging into one another and governed by the laws of physics, it offers a world of laws and symmetries, on which determinate physical properties are dependent. In presenting this account, French also tackles the distinction between mathematical and physical structures, the nature of laws, and causality in the context of modern physics, and he concludes by exploring the extent to which structural realism can be extended into chemistry and biology.

It’s a platitude – which only a philosopher would dream of denying – that whereas words are connected to what they represent merely by arbitrary conventions, pictures are connected to what they represent by resemblance. The most important difference between my portrait and my name, for example, is that whereas my portrait and I are connected by my portrait’s resemblance to me, my name and I are connected merely by an arbitrary convention. The first aim of this book is to defend this platitude from the apparently compelling objections raised against it, by analysing depiction in a way which reveals how it is mediated by resemblance. It’s natural to contrast the platitude that depiction is mediated by resemblance, which emphasises the differences between depictive and descriptive representation, with an extremely close analogy between depiction and description, which emphasises the similarities between depictive and descriptive representation. Whereas the platitude emphasises that the connection between my portrait and me is natural in a way the connection between my name and me is not, the analogy emphasises the contingency of the connection between my portrait and me. Nevertheless, the second aim of this book is to defend an extremely close analogy between depiction and description. The strategy of the book is to argue that the apparently compelling objections raised against the platitude that depiction is mediated by resemblance are manifestations of more general problems, which are familiar from the philosophy of language. These problems, it argues, can be resolved by answers analogous to their counterparts in the philosophy of language, without rejecting the platitude. So the combination of the platitude that depiction is mediated by resemblance with a close analogy between depiction and description turns out to be a compelling theory of depiction, which combines the virtues of common sense with the insights of its detractors.

Representation is puzzling. Physical events in our heads andsounds inour mouths come to be 'about' the worldaround us, equipping us to think and talk about anything fromthe mostfundamentalregularities in the universe to trivial matters of gossip.InThe Metaphysics of Representation, Robert Williams tells a story about how representational properties arise out of a fundamentally non-representational world. The representational properties of language are reduced, via convention, to the representational properties of thoughts. The representational properties of thoughts are reduced, via principles of rationalization, to the representational properties of perception and intention. This most fundamental layer of representation is grounded in the functions these structures have to cause and be caused by events in the world. Williams integrates work from rival traditions to present a combined perspective in the metaphysics of representation, gives new predictions and explanations of representational phenomena, and offers new solutions to long-standing problems.

First proposed more than 200 years ago, Schopenhauer's extraordinarily prescient metaphysics if understood along the lines thoroughly elucidated and substantiated in this volume offers powerful answers not only to the paradoxes of quantum mechanics, but also to modern philosophical dilemmas such as the hard problem of consciousness which plagues mainstream physicalism, and the subject combination problem which plagues constitutive panpsychism. This invaluable treasure of the Western philosophical canon has eluded us so far because Schopenhauer’s argument has been consistently misunderstood and misrepresented, even at the hands of presumed experts. Hoping to change this situation, Decoding Schopenhauer’s Metaphysics, offers a conceptual framework, a decoding key for unlocking the sense of Schopenhauer’s metaphysical contentions in a way that renders them mutually consistent. With this key in mind, even those who earlier dismissed Schopenhauer’s metaphysics should be able to return to it with fresh eyes and at last grasp its meaning. And for those as yet unacquainted with Schopenhauerian thought, this volume offers a succinct and accessible entry path.

This Element presents a philosophical exploration of the notion of scientific representation. It does so by focussing on an important class of scientific representations, namely scientific models. Models are important in the scientific process because scientists can study a model to discover features of reality. But what does it mean for something to represent something else? This is the question discussed in this Element. The authors begin by disentangling different aspects of the problem of representation and then discuss the dominant accounts in the philosophical literature: the resemblance view and inferentialism. They find them both wanting and submit that their own preferred option, the so-called DEKI account, not only eschews the problems that beset these conceptions, but further provides a comprehensive answer to the question of how scientific representation works. This title is also available as Open Access on Cambridge Core.

This volume offers novel views on the precise relation between reference to an object by means of a linguistic expression and our mental representation of that object, long a source of debate in the philosophy of language, linguistics, and cognitive science. Chapters in this volume deal with our devices for singular reference and singular representation, with most focusing on linguistic expressions that are used to refer to particular objects, persons, or places. These expressions include proper names such as Mary and John; indexicals such as I and tomorrow; demonstrative pronouns such as this and that; and some definite and indefinite descriptions such as The Queen of England or a medical doctor. Other chapters examine the ways we represent objects in thought, particularly the first-person perspective and the self, and one explores a notion common to reference and representation: salience. The volume includes the latest views on these complex topics from some of the most prominent authors in the field and will be of interest to anyone working on issues of reference and representation in thought and language.

There is broad agreement in the medieval tradition that we conceive things in the world owing to the transmission of intelligible content through various media that culminates in the concept by which something in the world is cognitively present for us. Yet how the intelligible content is transmitted along with the nature of the ultimate object of cognition provoked ceaseless debate. The first three essays in Universal Representation, and the Ontology of Individuation consider these issues as they play out in the metaphysics and natural philosophy of Avicenna, Averroes, Thomas Aquinas, Ockham and others. The last three essays turn to the metaphysical problem of the nature of the principle of individuation. Moderate realists believe in the existence of immanent general natures such as humanity and equinity, whereby individuals are members of diverse natural kinds. Accordingly, moderate realists such as Aquinas, Henry of Ghent and Duns Scotus need to investigate the nature of the individuating principle by which members of one and the same natural kind differ from one another. Nominalists, for their part, need not concern themselves with any principle of individuation as, for them, all reality is individual, there being no immanent universals; but this release comes at the cost of a new set of epistemological problems.

Jos L. Zalabardo puts forward a new interpretation of central ideas in Wittgenstein's Tractatus Logico-Philosophicus concerning the structure of reality and our representations of it in thought and language. He shows the origins of Wittgenstein's picture theory of propositional representation in Russell's theories of judgment, arguing that the picture theory is Wittgenstein's solution to some of the problems that he found in Russell's position. Zalabardo defends the view that, for Wittgenstein, facts in general, and the facts that play the role of propositions in particular, are not composite items, arising from the combination of their constituents. They are ultimate, irreducible units, and what we think of as their constituents are features that facts have in common with one another. These common features have built into them their possibilities of combination with other features into possible situations. This is the source of the Tractarian account of non-actual possibilities. It is also the source of the idea that it is not possible to produce propositions answering to certain descriptions, including those that would give rise to Russell's paradox. Zalabardo then considers Wittgenstein's view that every proposition is a truth function of elementary propositions. He argues that this view is motivated by Wittgenstein's epistemology of logic, according to which we should be able to see logical relations by inspecting the structures of propositions. Finally, Zalabardo considers the problems that we face if we try to extend the application of the picture theory from elementary propositions to truth functions of these.

Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. In this book Christopher Pincock tackles this perennial question in a new way by asking how mathematics contributes to the success of our best scientific representations. In the first part of the book this question is posed and sharpened using a proposal for how we can determine the content of a scientific representation. Several different sorts of contributions from mathematics are then articulated. Pincock argues that each contribution can be understood as broadly epistemic, so that what mathematics ultimately contributes to science is best connected with our scientific knowledge. In the second part of the book, Pincock critically evaluates alternative approaches to the role of mathematics in science. These include the potential benefits for scientific discovery and scientific explanation. A major focus of this part of the book is the indispensability argument for mathematical platonism. Using the results of part one, Pincock argues that this argument can at best support a weak form of realism about the truth-value of the statements of mathematics. The book concludes with a chapter on pure mathematics and the remaining options for making sense of its interpretation and epistemology. Thoroughly grounded in case studies drawn from scientific practice, this book aims to bring together current debates in both the philosophy of mathematics and the philosophy of science and to demonstrate the philosophical importance of applications of mathematics.