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)

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)

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)

This chapter outlines David Lewis's favored foundational account of linguistic representation, and outlines and briefly evaluates variations and modifications. It gives an opinionated exegesis of Lewis's work on the foundations of reference: his interpretationism. The author looks at the way that the metaphysical distinction between natural and non‐natural properties came to play a central role in his thinking about language. Lewis's own deployment of this notion has implausible commitments. The chapter briefly considers a buck‐passing strategy involving fine‐grained linguistic conventions. Lewis (...) was no fan of primitive intentionality. Much of the Lewisian framework remains attractive. The overall select‐and‐project method, with its promise to deal even‐handedly with all linguistic intentionality, and its epistemic tractability, should be retained. Post‐Lewisian interpretationism results from emphasizing and retaining some of the virtues of Lewis's original proposal promises (e.g. universality and epistemic tractability), while compromising on others (e.g. metaphysical principle). (shrink)

I propose to examine the possible relevance of phenomenological method to the consideration of another approach to philosophy which is usually thought of as the descendant of a tradition of thought quite alien to it. This second approach I shall call “the anti-linguistic method.” The name constitutes a terminological safeguard against the dangerous step of ascribing a definite methodological view to the Wittgenstein of the Investigations, although the anti-linguistic method seems to me to be close to what Wittgenstein’s method would (...) have been, had he allowed himself to talk of a method instead of employing the elaborate philosophical conceit of “therapy.” By the method of phenomenology I understand Husserl’s method of “reduction,” which I shall summarize later. Initially I must characterize the method which I shall take to be the distinctive mark of anti-linguistic philosophy. (shrink)

Taking away grains from a heap of rice, at what point is there no longer a heap? It seems small changes – removing a single grain – can’t make a difference to whether or not something is a heap; but big changes obviously do. How can this be, since big changes are nothing but small changes chained together?

Are interpersonal comparisons of desire possible? Can we give an account of how facts about desires are grounded that underpins such comparisons? This paper supposes the answer to the first question is yes, and provides an account of the nature of desire that explains how this is so. The account is a modification of the interpretationist metaphysics of representation that the author has recently been developing. The modification is to allow phenomenological affective valence into the “base facts” on which correct (...) interpretation is grounded. To use this extra resource within that theory to vindicate interpersonal comparisons, we will need to appeal rational connections between level of valence and level of desire, which this paper sets out and examines. (shrink)

This article investigates the relationship between political revolutions and the evolution of politics. It discusses the circularity within the concept of revolution through Jacques Derrida’s theory of sovereignty as particularly per Rogues – Two Essays on Reason and The Beast and the Sovereign. Derrida’s notions of wheel and ipseity display ontological prerogatives and evolutionary limits of political revolutions possibly coinciding with reversals hard to turn into linear evolutions, excluding rather than reaffirming circularity. Political revolutions show such incapacity to become evolutionary (...) for politics when lacking ontological substance and resting upon formal contingencies such as new techniques. An ‘alturnative’ notion of sovereignty is proposed as a heuristic criterion to gauge political events’ ‘revolutionary’ quality. This undermines the (r)evolutionary nature of political turns, like those associated with the contemporary digitalisation of politics. The Italian Five Stars Movement’s parable is a case in point of digital political turns whose effect is non-evolutionary for politics. (shrink)

This work is a study in the new field of paraconsistent logics. The authors attempt to give a formal characterization of the notions of indeterminate possible worlds and inconsistent possible worlds. The characterization works by constructing the non-standard worlds out of combinations of standard possible worlds either by taking those statements as true in a non-standard world which are true in both of two standard worlds, which generates indeterminate worlds, or by taking those statements as true in a non-standard world (...) which are true in either of two standards worlds, which generates inconsistent worlds. (shrink)

Eight articles written by members of the Tulane philosophy department. The contributions range from a discussion of classifications of supposition in medieval logic by Louise Nisbet Roberts and a comparatively lengthy consideration of the relationship between universals and individuals by James K. Feibleman to an attempt by Paul G. Morrison to clarify in a restricted system the expressions, 'invariance,' 'homogeneity,' and 'heterogeneity.'--R. P.