If one wishes to understand medieval philosophical descriptions of the nature of the various sciences, a familiarity with the scientific knowledge possessed at that time is necessary. An excellent example of the basic characteristics of medieval mathematics can be found in this critical edition of De numeris datis. The work itself is the first advanced algebra text produced in Western Europe. It is a study of the general methods of solving problems for unknown numbers if one knows, is given, other (...) numbers and the relationships between them. Although the mathematical ideas Jordanus presents will be familiar to readers of this book, their development differs from that of contemporary algebra. The differences illuminate the medieval approach to mathematics. Medieval mathematicians approached this sort of problem by starting with the known numbers and working through to the unknown rather than concentrating on manipulation of the unknown variables as is done in modern approaches to mathematics. Medieval mathematics also viewed numbers as semi-geometric things. Solutions to algebraic problems were often seen in terms of geometric approaches to the areas and sides of rectangles. In this work Jordanus follows a more "algebraic" approach, but this approach did not replace the dominant medieval geometric approach to mathematics. In fact, as Hughes notes, the marginal notations in later copies of the work are usually geometric diagrams of the concepts. One can read such statements about medieval mathematics easily enough, but if one reads medieval mathematical thought in its original form the sort of thinking involved in medieval mathematics is much clearer. Such a background is useful in interpreting the descriptions writers like Aquinas offer of the nature of mathematics. (shrink)

R.I.G Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful.

A general account of modeling in physics is proposed. Modeling is shown to involve three components: denotation, demonstration, and interpretation. Elements of the physical world are denoted by elements of the model; the model possesses an internal dynamic that allows us to demonstrate theoretical conclusions; these in turn need to be interpreted if we are to make predictions. The DDI account can be readily extended in ways that correspond to different aspects of scientific practice.

Epistemologists often appeal to the idea that a normative theory must provide useful, usable, guidance to argue for one normative epistemology over another. I argue that this is a mistake. Guidance considerations have no role to play in theory choice in epistemology. I show how this has implications for debates about the possibility and scope of epistemic dilemmas, the legitimacy of idealisation in Bayesian epistemology, uniqueness versus permissivism, sharp versus mushy credences, and internalism versus externalism.

Hughes approaches his subjects, as he later did with pertinent issues of the twentieth-century, with both reason and compassion.This edition includes an elegant ...

Epistemologists spend a great deal of time thinking about how we should respond to our evidence. They spend far less time thinking about the ways that evidence can be acquired in the first place. This is an oversight. Some ways of acquiring evidence are better than others. Many normative epistemologies struggle to accommodate this fact. In this article I develop one that can and does. I identify a phenomenon – epistemic feedback loops – in which evidence acquisition has gone awry, (...) with the result that even beliefs based on the evidence are irrational. Examples include evidence acquired under the influence of confirmation bias and evidence acquired under the influence of cognitively penetrated experiences caused by implicit bias. I then develop a theoretical framework which enables us to understand why beliefs that are the outputs of epistemic feedback loops are irrational. Finally, I argue that many popular approaches to epistemic normativity may need to be abandoned on the grounds that they cannot comfortably explain feedback loops. The scope of this last claim is broad: it includes almost all contemporary theories of justified/rational belief and of the epistemology of cognitive penetration. (shrink)

This article argues that there can be epistemic dilemmas: situations in which one faces conflicting epistemic requirements with the result that whatever one does, one is doomed to do wrong from the epistemic point of view. Accepting this view, I argue, may enable us to solve several epistemological puzzles.

I develop a broadly reliabilist theory of non-ideal epistemic rationality and argue that if it is correct we should reject the recently popular idea that the standards of non-ideal epistemic rationality are mere social conventions.

I consider a number of reasons one might think we should only accept epistemic dilemmas in our normative epistemology as a last resort and argue that none of them is compelling.

Normal propositional modal systems This first chapter has two main aims. One is to give a general account of the propositional modal systems that we shall ...

Disturbances to one's sense of self, the feeling that one has ‘lost a part of oneself’ or that one ‘no longer feels like oneself,’ are frequently recounted throughout the bereavement literature. Engaging Allan Køster's important contribution to this issue, this article reinforces his suggestion that, by rupturing the existential texture of self-familiarity, bereavement can result in experiences of estrangement that can be meaningfully understood according to the concept of self-alienation. Nevertheless, I suggest that whilst Køster's relational interpretation of alienation as (...) the withdrawal of heteronomy can be applied to the experience of world-collapse in bereavement, what sets bereavement apart from other limit situations is the fact that it involves an intersubjective relation between the living and the dead. In contrast to Køster, therefore, I suggest that the experience of self-alienation that is distinctive to bereavement results from the fact that the bereaved is exposed to, and co-opted by, the absolute alterity of death itself. (shrink)

Written by one of the most important founding figures of Western philosophy, Aristotle’s _Nicomachean Ethics_ represents a critical point in the study of ethics which has influenced the direction of modern philosophy. The _Routledge Guidebook to Aristotle’s Nicomachean Ethics_ introduces the major themes in Aristotle’s great book and acts as a companion for reading this key work, examining: The context of Aristotle’s work and the background to his writing Each separate part of the text in relation to its goals, meanings (...) and impact The reception the book received when first seen by the world The relevance of Aristotle’s work to modern philosophy, its legacy and influence. With further reading included throughout, this text is essential reading for all students of philosophy, and all those wishing to get to grips with this classic work. (shrink)

Saul Kripke, in a series of classic writings of the 1960s and 1970s, changed the face of metaphysics and philosophy of language. Christopher Hughes offers a careful exposition and critical analysis of Kripke's central ideas about names, necessity, and identity. He clears up some common misunderstandings of Kripke's views on rigid designation, causality and reference, and the necessary a posteriori and contingent a priori. Through his engagement with Kripke's ideas Hughes makes a significant contribution to ongoing debates on, (...) inter alia, the semantics of natural kind terms, the nature of natural kinds, the essentiality of origin and constitution, the relative merits of 'identitarian' and counterpart-theoretic accounts of modality, and the identity or otherwise of mental types and tokens with physical types and tokens. No specialist knowledge in either the philosophy of language or metaphysics is presupposed; Hughes's book will be valuable for anyone working on the ideas which Kripke made famous in the philosophy world. (shrink)

I argue that evidentialism should be rejected because it cannot be reconciled with empirical work on bias in cognitive and social psychology.

Descartes' Meditations is one of the most thoroughly analyzed of all philosophical texts. Nevertheless, central issues in Descartes' thought remain unresolved, particularly the problem of the Cartesian Circle. Most attempts to deal with that problem have weakened the force of Descartes' own doubts or weakened the goals he was seeking. In this book, Stephen I. Wagner gives Descartes' doubts their strongest force and shows how he overcomes those doubts, establishing with metaphysical certainty the existence of a non-deceiving God and (...) the truth of his clear and distinct perceptions. Wagner's innovative and thorough reading of the text clarifies a wide range of other issues that have been left unclear by previous commentaries, including the nature of the cogito discovery and the relationship between Descartes' proofs of God's existence. His book will be of great interest to scholars and upper-level students of Descartes, early modern philosophy and theology. (shrink)

Enlightenment values are built around the presumption of an independent rational self, citizen, consumer and pursuer of self-interest. Even the authoritarian and communitarian variants of the Enlightenment presumed the existence of autonomous individuals, simply arguing for greater weight to be given to their collective interests. Since Hume, however, radical Enlightenment empiricists have called into question the existence of a discrete, persistent self. Today neuroscientific reductionism has contributed to the rejection of an essentialist model of personal identity. Contemporary transhumanism has yet (...) to grapple with the radical consequences of the erosion of liberal individualism on their projects of individually chosen enhancement and longevity. Most transhumanists still reflect an essentialist idea of personal identity, even as they embrace projects of radical cognitive enhancement that would change every constituent element of consciousness. Transhumanists need to grapple with how their projects and ethics would change if personal identity is an arbitrary, malleable fiction. (shrink)

I discuss what Aquinas’ doctrine of divine simplicity is, and what he takes to be its implications. I also discuss the extent to which Aquinas succeeds in motivating and defending those implications.

Christopher Hughes; XII*—Is A Thing Just The Sum Of Its Parts?, Proceedings of the Aristotelian Society, Volume 86, Issue 1, 1 June 1986, Pages 213–234, https:/.

First published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.

The theory of personal identity should illuminate and be illuminated by the theory of personality, of which it is a part. I believe that Locke's theory succeeds in this more than that of any other great philosopher, and the modifications which it may need are not fundamental ones. The problems raised by Butler and Flew can be made to disappear.

Thomas Aquinas was the most influential philosopher of the Middle Ages, and one of the most famous Christian theologians of all time. His philosophy is a powerful synthesis of Aristotle and Plato presented within a Christian framework. His "five ways" to prove the existence of God are studied by undergraduates on many theology and philosophy of religion courses. Apart from his specifically theological works, he spent much of his time writing about metaphysics, all of which was to have important ramifications (...) for epistemology, philosophy of mind and ethics. Christophe Hughes focuses mostly on the philosophical Aquinas; beginning with a chapter on his life and works he goes on to discuss Aquinas's metaphysics and his theory of human beings in general, covering his ideas about body and soul, the mind, and free will. (shrink)

How, in this Christian age of belief, can we draw sense from the ritual acts of Christians assembled in worship? Convinced that people shape their meanings from the meanings available to them, Graham Hughes inquires into liturgical constructions of meaning within the larger cultural context of late twentieth-century meaning theory. Major theories of meaning are examined in terms of their contribution or hindrance to this meaning making: analytic philosophy, phenomenology, structuralism and deconstruction. Drawing particularly upon the work of Charles (...) Peirce, Hughes turns to semiotic theory to analyse the construction, transmission and apprehension of meaning within an actual worship service. Finally the book analyses the ways in which various worshipping styles of western Christianity undertake this meaning making. Taking account of late modern values and precepts, this ground-breaking book will appeal to teachers and students of theology, to clergy, and to thoughtful lay Christians. (shrink)

Locke thought that it was impossible for there to be two things of the same kind in the same place at the same time. I offer (what looks to me like) a counterexample to that principle, involving two ships in the same place at the same time. I then consider two ways of explaining away, and one way of denying, the apparent counterexample of Locke's principle, and I argue that none is successful. I conclude that, although the case under discussion (...) does not refute Locke's principle, it constitutes a serious challenge to it. (shrink)

A recent argument in favor of a free market in human organs claims that such a market enhances personal autonomy. I argue here that such a market would, on the contrary, actually compromise the autonomy of those most likely to sell their organs, namely, the least well off members of society. A Marxian-inspired notion of exploitation is deployed to show how, and in what sense, this is the case.

Sider has argued that four‐dimensionalism can be given a clear and coherent formulation, and has attempted to provide one. He has also argued that three‐dimensionalism resists adequate formulation. I argue that Sider's worries about whether there is an adequate formulation of three‐dimensionalism are misplaced, and suggest a formulation of three‐dimensionalism different from the ones considered and rejected by Sider. I then give a ‘matching’ formulation of four‐dimensionalism, and argue that it captures four‐dimensionalism better than Sider's own formulation of that doctrine.

This essay examines the function of the concept of human dignity (both as an inherent feature of human existence and as an ideal achievement) in the United Nations's 1948 Universal Declaration of Human Rights. It explains why the key framers of the document affirmed an inherent human dignity in order to provide an explanatory basis for the validity of universal human rights while eschewing any religious or metaphysical justification for this affirmation. It argues that the key framers, while aware of (...) the Christian anthropology informing the modern Western concept of the dignity of the person, grasped (1) that the Declaration, to be ratifiable, would need to be free of religious reference, and also (2) that the notion of inherency suffices to suggest heuristically not only a universal human nature but also, crucially, a transcendent reality in which all persons participate. (shrink)