For several terms at Cambridge in 1939, Ludwig Wittgenstein lectured on the philosophical foundations of mathematics. A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were (...) largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary. (shrink)

Morrison offers an illuminating study of two linked traditions that have figured prominently in twentieth-century thought: Buddhism and the philosophy of Nietzsche. Nietzsche admired Buddhism, but saw it as a dangerously nihilistic religion; he forged his own affirmative philosophy in reaction against the nihilism that he feared would overwhelm Europe. Morrison shows that Nietzsche's influential view of Buddhism was mistaken, and that far from being nihilistic, it has notable and perhaps surprising affinities with Nietzsche's own project of the (...) transvaluation of all values. (shrink)

In an influential article, A. I. Sabra identified an intellectual trend from twelfth and thirteenth-century Andalusia which he described as the ‘‘Andalusian revolt against Ptolemaic astronomy.” Philosophers such as Ibn Rushd , Ibn Tufayl , and Maimonides objected to Ptolemy’s theories on philosophic grounds, not because of shortcomings in the theories' predictive accuracy. Sabra showed how al-Bitrūjī's Kitāb al-Hay'a attempted to account for observed planetary motions in a way that met the philosophic standards of those philosophers and others. In Nūr (...) al-‘ālam , the subject of this article, Joseph ibn Joseph ibn Nahmias endeavoured to improve upon al-Bitrūjī’s models. Levi Ben Gerson's Hebrew writings on astronomy criticized al-Bitrūjī, but Ibn Nahmias did not mention them. Nūr al-‘ālam deserves attention, too, because it is the first Arabic text on theoretical astronomy by a Jewish author to come to light. In the body of this article, I will describe and analyze Ibn Nahmias’ theory, from Nūr al-‘ālam , for the motion of the sun. (shrink)

Introduction -- Reconstructing Nīsābūrī's early education -- Nīsābūrī's early scientific thought -- Nīsābūrī's early religious thought -- Astrology motivating inductions about God's power -- Nīsābūrī's later scientific thought -- The impact of science on Nīsābūrī's religious thought -- The limits of science's influence on Nīsābūrī's religious thought -- Conclusion.

This chapter examines various Islamic perspectives on natural theology, and briefly outlines the reasons why the philosophy of Ibn Rusdh does not represent a definition of natural theology in Islam. It then discusses varieties of natural theology and Islam; Kalām texts and revelation; al-Ghazālī's criticism of philosophers; Nizām al-Dīn al-Nīsābūrī's views on the reasoned study of nature; natural theology and religious obligations; Sharī'a and natural law; and reactions to Darwin in the nineteenth- and early twentieth-century Near East.

In an influential article, A. I. Sabra identified an intellectual trend from twelfth and thirteenth-century Andalusia which he described as the ‘‘Andalusian revolt against Ptolemaic astronomy.” Philosophers such as Ibn Rushd, Ibn Tufayl, and Maimonides objected to Ptolemy’s theories on philosophic grounds, not because of shortcomings in the theories' predictive accuracy. Sabra showed how al-Bitrūjī's Kitāb al-Hay'a attempted to account for observed planetary motions in a way that met the philosophic standards of those philosophers and others. In Nūr al-‘ālam, the (...) subject of this article, Joseph ibn Joseph ibn Nahmias endeavoured to improve upon al-Bitrūjī’s models. Levi Ben Gerson's Hebrew writings on astronomy criticized al-Bitrūjī, but Ibn Nahmias did not mention them. Nūr al-‘ālam deserves attention, too, because it is the first Arabic text on theoretical astronomy by a Jewish author to come to light. In the body of this article, I will describe and analyze Ibn Nahmias’ theory, from Nūr al-‘ālam, for the motion of the sun. (shrink)

The article aims to develop the philosophy of Emmanuel Levinas as a valuable new perspective in understanding the triune drama of the Resurrection. Firstly, the juxtaposition of Levinas’ thought and Christian theology will be argued for, followed by a development of von Balthasar’s Trinitarian theology of the Resurrection. Especially, Levinas’ non-phenomenological notion of “otherness” will be used to offer an understanding of the Risen Christ’s “Otherness” as communicating the non-phenomenality of Holy Saturday to the disciples. As a result, we discover (...) significant theological openings towards a vision of a Biblical God free from the constraints of ontological thinking and phenomenal experience. (shrink)

Throughout the biological and biomedical sciences there is a growing need for, prescriptive ‘minimum information’ (MI) checklists specifying the key information to include when reporting experimental results are beginning to find favor with experimentalists, analysts, publishers and funders alike. Such checklists aim to ensure that methods, data, analyses and results are described to a level sufficient to support the unambiguous interpretation, sophisticated search, reanalysis and experimental corroboration and reuse of data sets, facilitating the extraction of maximum value from data sets (...) them. However, such ‘minimum information’ MI checklists are usually developed independently by groups working within representatives of particular biologically- or technologically-delineated domains. Consequently, an overview of the full range of checklists can be difficult to establish without intensive searching, and even tracking thetheir individual evolution of single checklists may be a non-trivial exercise. Checklists are also inevitably partially redundant when measured one against another, and where they overlap is far from straightforward. Furthermore, conflicts in scope and arbitrary decisions on wording and sub-structuring make integration difficult. This presents inhibit their use in combination. Overall, these issues present significant difficulties for the users of checklists, especially those in areas such as systems biology, who routinely combine information from multiple biological domains and technology platforms. To address all of the above, we present MIBBI (Minimum Information for Biological and Biomedical Investigations); a web-based communal resource for such checklists, designed to act as a ‘one-stop shop’ for those exploring the range of extant checklist projects, and to foster collaborative, integrative development and ultimately promote gradual integration of checklists. (shrink)

The question, What category does the differentia belong to? is a difficult problem in Aristotelian metaphysics. For example, is the differentia of a substance itself a substance, or e.g. a quality? The range of previous interpretations of Aristotle on this point are comprehensively surveyed. Based primarily on evidence in the Categories, this paper argues for an answer to this question.

According to anti-atomism, we represent color properties (e.g., red) in virtue of representing color relations (e.g., redder than). I motivate anti-atomism with a puzzle involving a series of pairwise indistinguishable chips. I then develop two versions of anti-atomism.