We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Émile Borel.

This accessible book gives a new, detailed and elementary explanation of the Gödel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no ...

MATHEMATICS is a wonderful, mad subject, full of imagination, fantasy and creativity that is not limited by the petty details of the physical world, but only by the strength of our inner light. Does this sound familiar? Probably not from the mathematics classes you may have attended. But consider the work of three famous earlier mathematicians: Leonhard Euler, Georg Cantor and Srinivasa Ramanujan.

This important book provides a theory about the nature of fiction, and about the relation between the author, the reader and the fictional text. The approach is philosophical: that is to say, the author offers an account of key concepts such as fictional truth, fictional characters, and fiction itself. The book argues that the concept of fiction can be explained partly in terms of communicative intentions, partly in terms of a condition which excludes relations of counterfactual dependence between the world (...) and the text. This communicative model is then applied to the following problems: how can something be 'true in the story' without being explicitly stated in the text? In what ways does interpreting a fictional story depend upon grasping its author's intentions? Is there always a unique best interpretation of a fictional text? What is the correct semantics for fictional names? What is the nature of our emotional response to a fictional work? In answering these questions the author explores the complex interaction between author, reader, and text. This interaction requires the reader to construct a 'fictional author' - a character in the story whose personality, beliefs and emotional states must be interpreted if the reader is to grasp the meaning of the work. (shrink)

This unpublished paper, which readers should feel free to cite, is posted primarily for the historical record. In recent work that has, deservedly, received some attention, Paul R. Daniels presents and defends a non-standard theory of persistence that he dubs transdurantism, according to which persisting objects are temporally extended simples. This is exactly what I do in work dating back to 2004. (This work began with an earlier draft of this paper, which was presented to the University of Rochester's Philosophy (...) Department in 2005, and culminated in this version, which I believe dates from 2010.) While this might be a total coincidence, I doubt that it is, especially given that 'transdurantism' appears as a name for a theory of persistence associated with me in at least two places in the literature, one of which includes a citation of this paper. The paper begins with a discussion of what I call 'locative relations' (the relations borne by material objects to the regions of space and time they occupy), which draws relevant distinctions that others have failed to draw. The results of this discussion are then used in constructing spatial analogues for the three established theories of persistence--endurantism, perdurantism, and exdurantism--as well as for transdurantism. Next, these four views concerning persistence are explicitly formulated and a defense of their formulation is offered. Finally, transdurantism's advantages and disadvantages relative to the other theories are discussed. The main goal of the paper is to challenge the trichotomy between the established theories by arguing that transdurantism is also a viable view concerning persistence through time. [Note: Befitting its status as a historical document, with the exception of some light editing to fix typos that might impede understanding, no changes have been made to the paper.]. (shrink)

Landini discusses the second edition of Principia Mathematica, to show Russella (TM)s intellectual relationship with Wittgenstein and Ramsey.

In Complicity and Moral Accountability, Gregory Mellema presents a philosophical approach to the moral issues involved in complicity. Starting with a taxonomy of Thomas Aquinas, according to whom there are nine ways for one to become complicit in the wrongdoing of another, Mellema analyzes each kind of complicity and examines the moral status of someone complicit in each of these ways. Mellema's central argument is that one must perform a contributing action to qualify as an accomplice, and that it (...) is always morally blameworthy to perform such an action. Additionally, he argues that an accomplice frequently bears moral responsibility for the outcome of the other's wrongdoing, but he distinguishes this case from cases in which the accomplice is tainted by the wrongdoing of the principal actor. He further distinguishes between enabling, facilitating, and condoning harm, and introduces the concept of indirect complicity. Mellema tackles issues that are clearly important to any case of collective and shared responsibility, yet rarely discussed in depth, always presenting his arguments clearly, concisely, and engagingly. His account of the nonmoral as well as moral qualities of complicity in wrongdoing--especially of the many and varied ways in which principles and accomplices can interact--is highly illuminating. Liberally sprinkled with helpful and nuanced examples, Complicity and Moral Accountability vividly illustrates the many ways in which one may be complicit in wrongdoing. "In Complicity and Moral Accountability, Gregory Mellema has made an immensely important contribution to the discussion of group morality and collective responsibility both within and far beyond professional academic philosophy. His clearly written book will be essential reading." --Fergus Kerr, Honorary Fellow, University of Edinburgh. (shrink)

Putnam discusses each of the fifteen odes found in the book, studying the work both as a whole and as a series of interactive units.

This chapter is a work in applied metaphysics. Recent discussions of monism and metaphysical dependence are deployed to develop a view—the doctrine of divine priority (DDP)—that is a viable alternative to the doctrine of divine simplicity (DDS). DDS and the traditional motivation for it are discussed, then DDP is introduced by way of an analogy involving Jonathan Schaffer’s distinction between two forms of monism. It is argued that DDP is an alternative to DDS by showing that it is consistent with (...) the traditional motivation for the latter view, and argued that DDP is a viable alternative by showing that objections to its peculiar implications rest on assumptions that can reasonably be rejected. In the concluding section, the findings of the main discussion are summarized and DDP’s potential theological import is illustrated with a brief discussion of a possible solution to the Problem of the Trinity it affords. (shrink)

The Oxford Companion to the Mind is a classic. Published in 1987, to huge acclaim, it immediately took its place as the indispensable guide to the mysteries - and idiosyncracies - of the human mind. In no other book can the reader find discussions of concepts such as language, memory, and intelligence, side by side with witty definitions of common human experiences such as the 'cocktail-party' and 'halo' effects, and the least effort principle. Richard Gregory again brings his wit, (...) wisdom, and expertise to bear on this most elusive of subjects. Research into the mind and brain has moved on in bounds in recent years, and interest in the subject has never been so high. There has been a shift in focus away from Freud's concept of the unconscious onto consciousness itself. The new edition of the Companion includes three 'mini symposia' - on consciousness, brain scanning, and artificial intelligence - with contributions from a number of specialists, and encompassing a range of approaches. Cultural as well as scientific in approach, this accessible book offers authoritative descriptions and analysis. With new entries on controversial topics such as artificial life, attachment theory, caffeine, cruetly, drama, extra-terrestrial intelligence, genetics of mental illness, imagination, lying, puzzles, and twins, this highly-anticipated second edition explores the most intriguing of subjects. (shrink)

The information-theoretic point of view proposed by Leibniz in 1686 and developed by algorithmic information theory (AIT) suggests that mathematics and physics are not that different. This will be a first-person account of some doubts and speculations about the nature of mathematics that I have entertained for the past three decades, and which have now been incorporated in a digital philosophy paradigm shift that is sweeping across the sciences.

We often ascribe possibility to the scenes that are displayed by mental or nonmental sensory images. The paper presents a novel argument for thinking that we are prima facie justified in ascribing metaphysical possibility to what is displayed by suitable visual images, and it argues that many of our imagery‐based ascriptions of metaphysical possibility are therefore prima facie justified. Some potential objections to the arguments are discussed, and some potential extensions of them, to cover nonvisual forms of imagery and nonmetaphysical (...) forms of possibility, are endorsed. (shrink)

Studie over het werk van de Duitse wijsgeer Friedrich Ludwig Gottlob Frege (1848-1925).

First published in 1987, Althusser, The Detour of Theory was widely received as the fullest account of its subject to date. Drawing on a wide range of hitherto untranslated material, it examined the political and intellectual contexts of Althusser's `return to Marx' in the mid-1960s and proclamaed of a `crisis of Marxism'. It concluded with a balance-sheet of Althusser's contribution to historical materialism. In this second edition, Gregory Elliott has added a substantial postscript in which he surveys the posthumous (...) edition of the French philosopher's work. (shrink)

A re-issue of Gregory Bateson's classic work. It summarizes Bateson's thinking on the subject of the patterns that connect living beings to each other and to their environment.

This introduction to modern work in analytic philosophy uses the example of the proper name to give a clear explanation of the logical theories of Gottlob Frege, and explain the application of his ideas to ordinary language. McCulloch then shows how meaning is rooted in the philosophy of mind and the question of intentionality, and looks at the ways in which thought can be "about" individual material objects.

Using Sartre is an introduction to the philosophy of Jean-Paul Sartre which promotes Sartrean views but adopts a consistently analytical approach to him. Concentrating on his early philosophy, up to and including Sartre's masterwork Being and Nothingness, Gregory McCulloch demonstrates how much analytical philosophers miss when they neglect Sartre and the continental tradition in philosophy. In the classic spirit of analytical philosophy, Using Sartre is a clear and pithy exposition of Sartre's early work. Written specifically for beginners and non-specialists, (...) the book is sure to spark new interest in Sartre and the existentialists while also making a significant contribution to the analytical philosophy of mind. It indicates how the analytical and continental approaches to philosophy may be brought into closer relation to one another. (shrink)

Hi everybody! It's a great pleasure for me to be back here at the new, improved Santa Fe Institute in this spectacular location. I guess this is my fourth visit and it's always very stimulating, so I'm always very happy to visit you guys. I'd like to tell you what I've been up to lately. First of all, let me say what algorithmic information theory is good for, before telling you about the new version of it I've got.

Composed of a substantial introduction, twelve original essays produced for this volume, and a new English translation of a personal, intriguing, and little ...

Visualizings, the simplest imaginings which employ visual imagery, have certain characteristic features; they are perspectival, for instance. Also, it seems that some but not all of our visualizings are imaginings of seeings. But it has been forcefully argued, for example by M.G.F. Martin and Christopher Peacocke, that all visualizings are imaginings of visual sensations. I block these arguments by providing an account of visualizings which allows for their perspectival nature and other features they typically have, but which also explains how (...) we can visualize things without thereby imagining visual sensations. (shrink)

"There is a growing unease among geographers with the notion of geography as spatial analysis but, as yet, no book has appeared which is able to assimilate and develop the profound methodological developments and changes in philosophy which have occurred since the sixties. Ideology, Science and Human Geography re-examines the nature of geography after the positivist revolution and provides a critique of the discipline from the perspective of the social sciences in general. For Gregory, the new geography's commitment to (...) the paradigms of natural science was simply a reaffirmation of the Victorian tradition of geography. The ideological consequences of this are discussed in relation to recent changes in the social sciences to argue that a scientific geography must provide explanations which are at once structural, reflexive and committed. In questioning many of the assumptions of quantitative methodology the book seeks, above all, to reinstate man into the study of geography." -- Publisher's description. (shrink)

Why do we tend to ascribe possibility to what we can imagine? One strategy for answering that question involves the thought that, just as sensory episodes often involve its seeming to us as though the world is certain ways, so imaginings involve its seeming to us that what we have imagined is possible. This chapter argues that while some imaginings do feature appearances of possibility, very many others do not; and it explores the broader relevance of its conclusions for modal (...) epistemology. (shrink)

Contrary to what has been alleged, the moral equivalence of combatants (MEC) is not a doctrine that was expressly developed by the traditional theorists of just war. Working from the axiom that just cause is unilateral, they did not embrace a conception of public war that included MEC. Indeed, MEC was introduced in the early fifteenth century as a challenge to the then reigning just war paradigm. It does not follow, however, that the distinction between private and public war had (...) no place in the traditional teaching. Thomas Aquinas and his successors did not analyse just war by extrapolation from the related idea of self-defense. Rather, they likened just war to a legal proceeding that could solely be undertaken by persons possessed of legitimate authority. For this reason, just war was first and foremost public war. Private war was deemed ?war? only in a secondary and reduced sense of the term. It was accordingly understood that public war should be waged and its morality judged by reference to a set of norms that are not directly reducible to those governing private self (and other)-defense. (shrink)

After a period of relative exhaustion, French phenomenology has experienced a powerful revival in the last ten years, with the emer-gence of a “cosmological” paradigm in phenomenology. While this situation is obviously to be welcomed, it also presents contemporary phenomenologists with the challenge of acquiring a compass that will enable them to find their bearings in this rapidly reconfiguring philosophical landscape, and according to principles that still partly elude those who are committed to them. In so doing, the aim of (...) this study is twofold: firstly, to put forward a series of hypotheses as to the way in which it is being structured - and thus to elaborate a typology of contemporary French phenomenologies; and secondly, to attempt to determine the stakes and also the presuppositions of this new philosophical “deal” which, perhaps, remains transitory and, as such, rich in a future that, for the time being, it is only possible to presage. (shrink)

Now in its twentieth year of publication, this rich collection, popular among teachers and students alike, provides an in-depth look at major cases that have shaped the field of medical ethics. The book presents each famous (or infamous) case using extensive historical and contextual background, and then proceeds to illuminate it by careful discussion of pertinent philosophical theories and legal and ethical issues.

[This is an edited and improved version of "You Are Not Your Brain: Against 'Teaching to the Brain'" previously published in *Review of Higher Education and Self-Learning* 5(15), Summer 2012.] Since educators are always looking for ways to improve their practice, and since empirical science is now accepted in our worldview as the final arbiter of truth, it is no surprise they have been lured toward cognitive neuroscience in hopes that discovering how the brain learns will provide a nutshell explanation (...) for student learning in general. I argue that identifying the person with the brain is scientism (not science), that the brain is not the person, and that it is the person who learns. In fact the brain only responds to the learning of embodied experience within the extra-neural network of intersubjective communications. Learning is a dynamic, cultural activity, not a neural program. Brain-based learning is unnecessary for educators and may be dangerous in that a culturally narrow ontology is taken for granted, thus restricting our creativity and imagination, and narrowing the human community. (shrink)

Vlastos, G. Introduction: the paradox of Socrates.--Lacey, A. R. Our knowledge of Socrates.--Dover, K. J. Socrates in the Clouds.--Robinson, R. Elenchus.--Robinson, R. Elenchus, direct and indirect.--Robinson, R. Socratic definition.--Nakhnikian, G. Elenctic definitions.--Cohen, S. M. Socrates on the definition of piety: Euthyphro 10A-11B.--Santas, G. Socrates at work on virtue and knowledge in Plato's Laches.--Burnyeat, M. F. Virtues in action.--Walsh, J. J. The Socratic denial of Akrasia.--Santas, G. Plato's Protagoras and explanations of weakness.--Woozley, A. D. Socrates on disobeying the law.--Allen, R. E. (...) Plato's earlier theory of forms. (shrink)

In this condensed survey, I look to recent perspectives on evolution suggesting that cultural change likely alters the genome. Since theories of development are nested within assumptions about evolution (evo-devo), I next review some oft-cited developmental theories and other psychological theories of the 20th century to see if any match the emerging perspectives in evolutionary theory. I seek theories based neither in nature (genetics) nor nurture (the environment) but in the creative play of human communication responding to necessity. This survey (...) finally looks to more recent work to do with the appearance of independent self-consciousness in the individual following empathic group awareness. The result of such self-created group awareness and symbolic communication is seen to be cultural consciousness, unique to humanity, from which individual consciousness and personhood derive. I conclude by noting the general implications for these approaches in our schools, politics, and in ultimate ontological questions. (shrink)

Recreative Minds develops a philosophical theory of imagination that draws upon the latest work in psychology. This theory illuminates the use of imagination in coming to terms with art, its role in enabling us to live as social beings, and the psychological consequences of disordered imagination. The authors offer a lucid exploration of a fascinating subject.