Completeness is an important but misunderstood norm of explanation. It has recently been argued that mechanistic accounts of scientific explanation are committed to the thesis that models are complete only if they describe everything about a mechanism and, as a corollary, that incomplete models are always improved by adding more details. If so, mechanistic accounts are at odds with the obvious and important role of abstraction in scientific modelling. We respond to this characterization of the mechanist’s views about abstraction and (...) articulate norms of completeness for mechanistic explanations that have no such unwanted implications. _1_ Introduction _2_ A Balancing Act: When Do Details Matter? _3_ The Norms of Causal Explanation _4_ The Norms of Constitutive Explanation _5_ Salmon-Completeness _6_ From More Details to More Relevant Details _7_ Non-explanatory Virtues of Abstraction _8_ From Explanatory Models to Explanatory Knowledge _9_ Mechanistic Completeness Reconsidered _10_ Conclusion. (shrink)

We argue that dynamical and mathematical models in systems and cognitive neuro- science explain (rather than redescribe) a phenomenon only if there is a plausible mapping between elements in the model and elements in the mechanism for the phe- nomenon. We demonstrate how this model-to-mechanism-mapping constraint, when satisfied, endows a model with explanatory force with respect to the phenomenon to be explained. Several paradigmatic models including the Haken-Kelso-Bunz model of bimanual coordination and the difference-of-Gaussians model of visual receptive fields are (...) explored. (shrink)

This article sheds new light on late-19th-century debates about the organization of knowledge through its emphasis on German orientalism and comparative linguistics. Centering on Friedrich Carl Andreas’ controversial reconstruction of the Avestan language and its sacred literary corpus, I highlight a shift from the history of texts to an engagement with ‘living’ language in the decades around 1900. Andreas is shown to have inherited aspects of two schools, which collectively defined the landscape of 19th-century philological research – one traditional (...) and the other comparative. The long-standing struggle between these schools demonstrates that ‘the humanities’ were no monolithic foil to the rise of natural sciences during the second half of the 19th century. Instead, I argue that alternative conceptual frameworks were cultivated within German philology – concepts that were taken up in broader disciplinary debates, though they were not narrowly the products of them. (shrink)

This is a comprehensive, authoritative and innovative account of Pythagoras and Pythagoreanism, one of the most enigmatic and influential philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars construct a number of different images of Pythagoras and his community, assessing current scholarship and offering new answers to central problems. Chapters are devoted to the early Pythagoreans, and the full breadth of Pythagorean thought is explored including politics, religion, (...) music theory, science, mathematics and magic. Separate chapters consider Pythagoreanism in Plato, Aristotle, the Peripatetics and the later Academic tradition, while others describe Pythagoreanism in the historical tradition, in Rome and in the pseudo-Pythagorean writings. The three great lives of Pythagoras by Diogenes Laertius, Porphyry and Iamblichus are also discussed in detail, as is the significance of Pythagoras for the Middle Ages and Renaissance. (shrink)

This is the first comprehensive study for nearly 200 years of what remains of the writings of the Presocratic philosopher Philolaus of Croton. These fragments are crucial to our understanding of one of the most influential schools of ancient philosophy, the Pythagoreans; they also show close ties with the main lines of development of Presocratic thought, and represent a significant response to thinkers such as Parmenides and Anaxagoras. Professor Huffman presents the fragments and testimonia with accompanying translations and introductory chapters (...) and interpretive commentary. He not only produces further argument for the authenticity of much that used to be neglected, but also undertakes a critique of Aristotle's testimony, opening the way for a quite new reading of fifth-century Pythagoreanism in general and of Philolaus in particular. Philolaus is revealed as a serious natural philosopher. (shrink)

Archytas of Tarentum is one of the three most important philosophers in the Pythagorean tradition, a prominent mathematician, who gave the first solution to the famous problem of doubling the cube, an important music theorist, and the leader of a powerful Greek city-state. He is famous for sending a trireme to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361 BC. This 2005 study was the first extensive enquiry into Archytas' work in any language. It (...) contains original texts, English translations and a commentary for all the fragments of his writings and for all testimonia concerning his life and work. In addition there are introductory essays on Archytas' life and writings, his philosophy, and the question of authenticity. Carl A. Huffman presents an interpretation of Archytas' significance both for the Pythagorean tradition and also for fourth-century Greek thought, including the philosophies of Plato and Aristotle. (shrink)

Absolutely no one still believes that every physical interactionconsists of material bodies bumping into each other. Those who have tried to work out a completely mechanistic physics have been unable to explain common phenomena like liquidity, gravitation and magnetism. In fact, there is great reason to doubt that such a physics could ever account for attractive forces in general.

The prestige of science, derived from its claims to certainty, has adversely affected the humanities. There is, in fact, a “politics of certainty”. Our ability to predict events in a limited sphere has been idealized, engendering dangerous illusions about our power to control nature and eliminate time. In addition, the perception and propagation of science as a bearer of certainty has served to legitimate harmful forms of social, sexual, and political power. Yet, as Ilya Prigogine has argued, renewed attention to (...) the irreducible reality of time has brought us to “the end of certainty”. As we enter the age of uncertainty, there is disagreement about how science should be understood and communicated. Some scientists cling to the ideal of certainty, while others emphasize the creative potential of spontaneity, novelty, and surprise. (shrink)

For theorists in search of a political theology that is more responsive to the challenges now facing Western democracies, this book tenders a new political economy anchored in a theory of value. The political theology of the future, Carl Raschke argues, must draw on a powerful, hidden impetus--the "force of God"--to frame a new value economy. It must also embrace a radical, "faith-based" revolutionary style of theory that reconceives the power of the "theological" in political thought and action. Raschke (...) ties democracy's retreat to the West's failure to confront its decadence and mobilize its vast spiritual resources. Worsening debt, rising unemployment, and gross income inequality have led to a crisis in political representation and values that twentieth-century theorists never anticipated. Drawing on the thought of Hegel and Nietzsche as well as recent work by Michel Foucault, Jacques Derrida, Jean-Joseph Goux, Giorgio Agamben, and Alain Badiou, among others, Raschke recasts political theology for a new generation. He proposes a bold, uncompromising critical theory that acknowledges the enduring significance of Marx without his materialism and builds a vital, more spiritually grounded relationship between politics and the religious imaginary. (shrink)

The Pythagorean Precepts by Aristotle's pupil, Aristoxenus of Tarentum, present the principles of the Pythagorean way of life that Plato praised in the Republic. They are our best guide to what it meant to be a Pythagorean in the time of Plato and Aristotle. The Precepts have been neglected in modern scholarship and this is the first full edition and translation of and commentary on all the surviving fragments. The introduction provides an accessible overview of the ethical system of the (...) Precepts and their place not only in the Pythagorean tradition but also in the history of Greek ethics as a whole. The Pythagoreans thought that human beings were by nature insolent and excessive and that they could only be saved from themselves if they followed a strictly structured way of life. The Precepts govern every aspect of life: e.g. procreation, abortion, child rearing, friendship, religion, desire and even diet. (shrink)

Publication of The Alchemy of the Word in 1979 brought the deconstructive philosophy of Jacques Derrida into the arena of theological discourse & marked the end of theology as it had been understood by many. This work, revised & reissued as The End of Theology, is an important contribution to understanding the possibilities of a creative postmodern secular theology. The first chapter examines the aims & the shortcomings of language analysis as used in the examination of religious & theological statements. (...) The second chapter investigates the broader spectrum of modern theories about the nature of language. The third chapter recapitulates the rudiments of Heidegger's thought. The fourth chapter moves out of Heidegger & toward a resolution of the problems of meaning & interpretation in proposing a "radical hermeneutics." The fifth chapter discusses the way in which a radical hermeneutics must undermine conventional theological procedures & secure a view of religious speech that is prior to "God-language" or to the "Word of God." Such a view is directed to what Heidegger takes as the "ordinary" logos that is both a pre-Christian & a post-Christian context of "revelation." The final chapter criticizes Heidegger's own "mystifications" about language & endeavors to take his thought one major step beyond. Carl Raschke is professor of religious studies at the University of Denver & senior editor of the Journal for Cultural & Religious Theory. His major books include The End of Theology, Fire & Roses: Postmodernity & the Thought of the Body, The Engendering God, Painted Black & Theological Thinking. (shrink)

One of the most prominent African American intellectuals of the twentieth century, W. E. B. Du Bois continues to influence the understanding of race relations in the United States. In this deeply personal introduction to the man and his ideas, esteemed scholar Carl A. Grant reflects on how Du Bois's work has illuminated his own life practices as a Black student, teacher, assistant principal, and professor. Sharing the story of a brilliant man's life contribution to teaching about race and (...) the ideologies and methodologies of racism in education and social and political thought, Grant begins his narrative with a broad overview of Du Bois's life and scholarship, before turning more specifically to Du Bois's theory of an educational system. The book concludes with an examination of Du Bois's curriculum model, predicated upon the work of the NAACP, the Harlem Renaissance, and Du Bois's own writings, as well as a discussion of the lasting legacy of Du Bois's educational and social theory in the present day. Ideal for graduate-level courses in curriculum theory, educational foundations, and education history, Du Bois and Education provides an in-depth examination of Du Bois's scholarship, social criticism, and political thought as they relate to his educational theory. (shrink)

_Black Intellectual Thought in Education_ celebrates the exceptional academic contributions of African-American education scholars Anna Julia Cooper, Carter G. Woodson, and Alain Leroy Locke to the causes of social science, education, and democracy in America. By focusing on the lives and projects of these three figures specifically, it offers a powerful counter-narrative to the dominant, established discourse in education and critical social theory--helping to better serve the population that critical theory seeks to advocate. Rather than attempting to "rescue" a few (...) African American scholars from obscurity or marginalization, this powerful volume instead highlights ideas that must be probed and critically examined in order to deal with prevailing contemporary educational issues. Cooper, Woodson, and Locke’s history of engagement with race, democracy, education, gender and life is a dynamic, demanding, and authentic narrative for those engaged with these important issues. (shrink)

In a long note in his epoch-making book on ancient Pythagoreanism Walter Burkert raised some grave doubts about the authenticity of Archytas Fr. 1 which have recently been challenged in an article by A. C. Bowen. In this paper I have two goals. First, I will evaluate Burkert's doubts and the success of some of Bowen's arguments against them. Second, I will present a further consideration that both clarifies the text of the fragment and also removes the most serious problem (...) raised by Burkert. The upshot of both these points is to increase the likelihood that the fragment is authentic. I reproduce the text of just the first part of the fragment as given in DK followed by the text as it appears in the two primary sources, Nicomachus and Porphyry. (shrink)

In a long note in his epoch-making book on ancient Pythagoreanism Walter Burkert raised some grave doubts about the authenticity of Archytas Fr. 1 which have recently been challenged in an article by A. C. Bowen. In this paper I have two goals. First, I will evaluate Burkert's doubts and the success of some of Bowen's arguments against them. Second, I will present a further consideration that both clarifies the text of the fragment and also removes the most serious problem (...) raised by Burkert. The upshot of both these points is to increase the likelihood that the fragment is authentic. I reproduce the text of just the first part of the fragment as given in DK followed by the text as it appears in the two primary sources, Nicomachus and Porphyry. (shrink)