Freedom and the Rule of Law takes a critical look at the historical beginnings of law in the United States, and how that history has influenced current trends regarding law and freedom. Anthony Peacock has compiled articles that examine the relationship between freedom and the rule of law in America. The rule of law is fundamental to all liberal constitutional regimes whose political orders recognize the equal natural rights of all.

This essay critically examines Joseph Rouse's arguments against, what he dubs, the "legitimation project", which are the attempts to delimit and justify the scientific enterprise by means of global, "a priori" principles. Stipulating that a more adequate picture of science can be obtained by viewing it as a continuously transforming pattern of situated activities, Rouse believes that only by refocusing attention upon the actual practice of science can philosophers begin to detach themselves from the irresolvable epistemological problems that have remained (...) the primary byproduct of the traditional philosophical approach. On closer inspection, however, Rouse's project appears susceptible to the criticism that it is either too relativistic to do the work he envisioned for it, or that it participates in the very same legitimation venture that it was intended to replace (in addition to its own brand metaphysical/epistemological problems). This unexpected outcome, moreover, suggests that such legitimation projects may be an integral component of the very practice of science, contrary to Rouse estimate. (shrink)

Times have changed since Pfleiderer, in 1883, after summing up Neoplatonism in three contemptuous sentences, concludes, “In this convulsed state, entirely destitute of contents, consciousness has disappeared, and with it the very possibility of the religious relation, in favour of an orgiastic tumult of feeling.” Had Pfleiderer ever read a word of Plotinus or Proclus? If not, he had many to keep him company among the philosophers of his generation, though to be sure, Hegel, Schopenhauer, and Hartmann realized the importance (...) of the latest era in Greek philosophy. Jowett, in his introductions to Plato, never shows the slightest interest in what Platonism became under the Roman Empire. Edward Caird had certainly read Plotinus; but his lectures upon him in his Evolution of Theology in the Greek Philosophers , though highly praised at the time, are even more misleading than the ignorant neglect of writers like Pfleiderer. (shrink)

Times have changed since Pfleiderer, in 1883, after summing up Neoplatonism in three contemptuous sentences, concludes, “In this convulsed state, entirely destitute of contents, consciousness has disappeared, and with it the very possibility of the religious relation, in favour of an orgiastic tumult of feeling.” Had Pfleiderer ever read a word of Plotinus or Proclus? If not, he had many to keep him company among the philosophers of his generation, though to be sure, Hegel, Schopenhauer, and Hartmann realized the importance (...) of the latest era in Greek philosophy. Jowett, in his introductions to Plato, never shows the slightest interest in what Platonism became under the Roman Empire. Edward Caird had certainly read Plotinus; but his lectures upon him in his Evolution of Theology in the Greek Philosophers, though highly praised at the time, are even more misleading than the ignorant neglect of writers like Pfleiderer. (shrink)

ABSTRACT. The objectivity of physics has been called into question by social theorists, Kuhnian relativists, and by anomalous aspects of quantum mechanics. Here we focus on one neglected background issue, the categorical structure of the language of classical physics. The first half is an historical overview of the formation of the language of classical physics, beginning with Aristotle's Categories and the novel idea of the quantity of a quality introduced by medieval Aristotelians. Descartes and Newton at-tempted to put the new (...) mechanics on an ontological foundation of atomism. Euler was the pivotal figure in basing mechanics on a macroscopic concept of matter. The second scientific revolution, led by Laplace, took mechanics as foundational and attempted to fit the Baconian sciences into a framework of atomistic mechanism. This protracted effort had the unintended effect of supplying an informal unification of physics in a mixture of ordinary language and mechanistic terms. The second half treats LCP as a linguistic para-site that can attach itself to any language and effect mutations in the host without chang-ing its essential form. This puts LCP in the context of a language of discourse and sug-gests that philosophers should concentrate more on the dialog between experimenters and theoreticians and less on analyses of theories. This orientation supplies a basis for treating objectivity. (shrink)

BOOK REVIEWS 295 underscore God's existence sola ratione actualizes the biblical narrative, not by request- ing personal satisfaction as he hopes to find the sought-after argument, but, in good monastic-penitential fashion, by having this very argument command redemption for all of humanity. Risking far more than personal disappointment, Anselm's quest for God sola ratione merges prayer and proof to such an extent that any distinction must forthwith be abandoned. Schufreider approaches the Proslogion as a mixture of prayer and proof, but (...) he is not ready to abandon their distinction. Consequently, he not only isolates chapters 2-4 from chapter l, but also from chapters 5-26. On 2o8ff. he speaks of Anselm's "theologizing" of the ontological reality of GOd in those later chapters. In a recent article Stephen Gersh has suggested that the earlier and later parts of the Proslogion are connected by the following unstated premiss: "when two terms are compared as greater and lesser, then God corresponds to the greater. ''1 Whether or not one accepts this premiss, it suppresses in Anselmian fashion the distinction between prayer and proof in favor of an approach sola ratione. In the concluding chapter , Schufreider positions Anselm's "rational mysticism" between the unsystematic but intuitive argumentation of Augustine and the systematic reasoning which expressly lacks vision of Aquinas . Although Schufreider is painting with.. (shrink)

This article provides a material enactment of educational theory to explore how we might do educational theory differently by defamiliarising the familiar. Theory is often assumed to be abstract, located solely in the realm of ideas and separate from practice. However, this view of theory emerges from a set of ontological and epistemological assumptions of separating meaning from matter that are taken to be foundational, when this need not be the case. Drawing upon what variously might be termed materialist, performative (...) or post‐human positions, the article suggests that it is possible to re‐enact theory as a matter‐ing practice—of matter and meaning. The assumption of a separation that divides theory from practice is challenged in this article, which suggests that theory matters by being entangled with the material and that a separation of matter from meaning is an effect. This approach enacts things as matters of concern by contrast with the representation of objects as matters of fact. In this way, educational theory becomes a form of responsible experimentation rather than simply a representation of others. Some implications for education are outlined. (shrink)

This paper responds to Antje du-Bois Pedain’s discussion of the wrongfulness constraint on the criminal law. Du-Bois Pedain argues that the constraint is best interpreted as stating that φing is legitimately criminalised only if φing is wrongful for other-regarding reasons. We take issue with du-Bois Pedain’s arguments. In our view, it is neither a necessary nor sufficient condition of legitimate criminalisation that φing is wrongful in du-Bois Pedain’s sense. Rather, it is a necessary condition of legitimate criminalisation that φing is (...) what we call bare wrongful —that is, that the reasons in favour of φing are defeated by the reasons against. Though du-Bois Pedain is critical of this view, we argue that her criticisms do not convince. (shrink)

One way to do socially relevant investigations of science is through conceptual analysis of scientific terms used in special-interest science (SIS). SIS is science having welfare-related consequences and funded by special interests, e.g., tobacco companies, in order to establish predetermined conclusions. For instance, because the chemical industry seeks deregulation of toxic emissions and avoiding costly cleanups, it funds SIS that supports the concept of "hormesis" (according to which low doses of toxins/carcinogens have beneficial effects). Analyzing the hormesis concept of its (...) main defender, chemical-industry-funded Edward Calabrese, the paper shows Calabrese and others fail to distinguish three different hormesis concepts, H, HG, and HD. H requires toxin-induced, short-term beneficial effects for only one biological endpoint, while HG requires toxin-induced, net-beneficial effects for all endpoints/responses/subjects/ages/conditions. HD requires using the risk-assessment/regulatory default rule that all low-dose toxic exposures are net-beneficial, thus allowable. Clarifying these concepts, the paper argues for five main claims. (1) Claims positing H are trivially true but irrelevant to regulations. (2) Claims positing HG are relevant to regulation but scientifically false. (3) Claims positing HD are relevant to regulation but ethically/scientifically questionable. (4) Although no hormesis concept (H, HG, or HD) has both scientific validity and regulatory relevance, Calabrese and others obscure this fact through repeated equivocation, begging the question, and data-tri mm ing. Consequently (5) their errors provide some undeserved rhetorical plausibility for deregulating low-dose toxins. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviews 91 A SURVEY OF FREE THOUGHT Chad Trainer 1006 Davids Run Phoenixville, pa 19460, usa stratof{[email protected] Paul Edwards. God and the Philosophers. Edited by Timothy J. Madigan. New York: Prometheus Books, 2009. Pp. 330. isbn 978-1-59102-618-1 (hb). us$28.98. zaul Edwards (1923–2004) is most famous as the editor of the magisterial PEncyclopedia of Philosophy. He was one of three coauthors of its lengthy entry on Bertrand Russell. In 1957, (...) Edwards also edited Bertrand Russell’s Why I Am Not a Christian. A collection of his writings entitled God and the Philosophersz has been recently published, edited by Tim Madigan. Timothy Madigan is a previous editor of Free Inquiry who would visit Ed­ wards when travelling to New York City and who had the privilege over the years of reading several drafts of God and the Philosophers, which Edwards knew would be his Wnal project (p. 8). Madigan explains: “Never one to hide his own unbelief, Edwards often com­ mented that his two main goals were to demolish the inXuence of Heidegger and keep alive the memory of William Reich, the much-reviled psychoanalyst whose critiques of religion Edwards felt still remained valid” (p. 10). God and the Philosophersz is probably best appreciated as a very readable survey that is basically a patchwork of Edwards’ various musings on some of the West’s more iconoclastic philosophers. The work is not a systematic compendium and is probably of most value to those inclined to free thought and making their ini­ tial forays into the history of philosophy. The order in which Edwards discusses the thinkers is chronological, but his method of selection is idiosyncratic, especially in the earlier chapters. It is un­ clear why medieval Wgures like Maimonides and Aquinas are includedz in this col­ lection and great ancient independent thinkers like Xenophanes of Colophon and Strato of Lampsacus are excludedz. In any case, Edwards nowhere explains his criteria, or method, for selecting the thinkers he discusses. Edwards credits Russell with being “probably the most inXuential unbeliever of the twentieth century” (p. 253). And the personal inXuence of Russell on Ed­ wards is clear from Edwards’ mention that, while he himself was already “mov­ ing in the direction of unbeliefz”, reading three of Russell’s critiques of religion “Wxed me for good” (p. 253). Not only does Edwards devote an entire chapter to Russell but he cites him December 2, 2009 (5:28 pm) E:\CPBR\RUSSJOUR\TYPE2901\russell 29,1 060 red.wpd E:\CPBR\RUSSJOUR\TYPE2901\russell 29,1 060 red.wpd 92 Reviews throughout the book. In the chapter on Hume, Edwards presents the Natural History of Religion’s observation of “religionists’z” insecurity regarding their own beliefs as corresponding to Russell’s view that “believers hate and persecute their critics because they dimly realize that their own beliefs are myths” (p. 96). Ed­ wards takes both Schopenhauer (p. 179) and Spencer (p. 242) to task for assum­ ing that something has no value if it is not permanent and, on both occasions, credits Russell with having a superior rival view. The one occasion where Russell evidently stuns Edwards as being more in the camp of the believers rather than the non-believers is Russell’s discussion of Spinoza’s equation of a mind conceiving something “under a form” of eternity with that mind being eternal. As Edwards sees it, Russell was “apparently under such a spell of Spinoza that he [Russell] reports this view without one word of dissent. My own dissent is very simple: if consciousness cannot exist without the body, no part of it can survive and be Wlled with ‘eternal thoughts’ of God or Nature or anything else” (p. 37). Perhaps Edwards’ most poignant invocation of Russell is at the close of the chapter on Nietzsche. After detailing the “romantic cult of war” and “transition to modern totalitarianism”asamong Nietzsche’s legacies, Edwards illustrates the moral high ground with which German and Austrian establishmentarians could counter contrarian claims that “God is dead”, whereas “[i]n Anglo-Saxon coun­ tries intelligent adolescents have the great fortune of having Bertrand Russell as their guide to unbelief minus... (shrink)

‘Globalization’ has become in recent years one of the central themes of social scientific debates. Social theories of globalization may be regarded as specific academic and analytic manifestations of wider forms of ‘global consciousness’ to be found in the social world today. These are ways of thinking and perceiving which emphasize that the whole world should be seen as ‘one place’, its various geographically disparate parts all being interconnected in various complex ways. In this article we set out how both (...) a general ‘ecumenical sensibility’ involving such ways of thinking, and its specifically academic variant, an ‘ecumenical analytic’, are simultaneously responses to ‘globalizing conditions’ and also products of the latter. We demonstrate how social theories of globalization, locatable in the overall set we call the ‘ecumenical analytic’, are reflexive thought-products, in that they both seek to investigate, and are made possible by, ‘globalizing conditions’. Rejecting the view that both an ecumenical sensibility and an ecumenical analytic are solely products of modernity, we show how such modes of consciousness and analysis were present in the period of Greek history between the death of Alexander the Great and the rise of the Roman Empire. We show how at that period a socio-political situation akin in certain ways to modern ‘globalizing conditions’ generated both an ecumenical sensibility and an ecumenical analytic, the latter most forcefully represented by a revolutionary new genre in historiography called Universal History. By examining the ideas of its most famous practitioner, the historian Polybius, we demonstrate that Universal History both provided a framework for understanding what we today would call ‘globalization’, and exhibited a remarkable degree of reflexive awareness about its own conditions of possibility. We seek to show that an attentiveness to ‘global’ processes and a reflexive understanding of what makes that form of thinking possible in the first place, are not solely confined to modernity but were identifiable features of intellectual production in the Hellenistic period of ancient Greece. In this way we argue that scholars today should not imagine that the contemporary ‘global turn’ in social thought is either unique or wholly historically unprecedented. (shrink)

A provocative critique of Western attitudes about the Orient, this history examines the ways in which the West has discovered, invented, and sought to control the East from the 1700s to the present.

Mathematical notation includes a vast array of signs. Most mathematical signs appear to be symbolic, in the sense that their meaning is arbitrarily related to their visual appearance. We explored the hypothesis that mathematical signs with iconic aspects—those which visually resemble in some way the concepts they represent—offer a cognitive advantage over those which are purely symbolic. An early formulation of this hypothesis was made by Christine Ladd in 1883 who suggested that symmetrical signs should be used to convey commutative (...) relations, because they visually resemble the mathematical concept they represent. Two controlled experiments provide the first empirical test of, and evidence for, Ladd's hypothesis. In Experiment 1 we find that participants are more likely to attribute commutativity to operations denoted by symmetric signs. In Experiment 2 we further show that using symmetric signs as notation for commutative operations can increase mathematical performance. (shrink)

We examined a large set of conditional inference data compiled from several previous studies and asked three questions: How is normative performance related to intelligence? Does negative conclusion bias stem from Type 1 or Type 2 processing? Does implicit negation bias stem from Type 1 or Type 2 processing? Our analysis demonstrated that rejecting denial of the antecedent and affirmation of the consequent inferences was positively correlated with intelligence, while endorsing modus tollens inferences was not; that the occurrence of negative (...) conclusion bias was related to the extent of Type 2 processing; and that the occurrence of implicit negation bias was not related to the extent of Type 2 processing. We conclude that negative conclusion bias is, at least in part, a product of Type 2 processing, while implicit negation bias is not. (shrink)

We investigated whether mathematicians typically agree about the qualities of mathematical proofs. Between-mathematician consensus in proof appraisals is an implicit assumption of many arguments made by philosophers of mathematics, but to our knowledge the issue has not previously been empirically investigated. We asked a group of mathematicians to assess a specific proof on four dimensions, using the framework identified by Inglis and Aberdein (2015). We found widespread disagreement between our participants about the aesthetics, intricacy, precision and utility of the (...) proof, suggesting that a priori assumptions about the consistency of mathematical proof appraisals are unreasonable. (shrink)

An enormous intellectual adventure. In this groundbreaking new book, the American biologist Edward O. Wilson, considered to be one of the world's greatest living scientists, argues for the fundamental unity of all knowledge and the need to search for consilience --the proof that everything in our world is organized in terms of a small number of fundamental natural laws that comprise the principles underlying every branch of learning. Professor Wilson, the pioneer of sociobiology and biodiversity, now once again breaks (...) out of the conventions of current thinking. He shows how and why our explosive rise in intellectual mastery of the truths of our universe has its roots in the ancient Greek concept of an intrinsic orderliness that governs our cosmos and the human species--a vision that found its apogee in the Age of Enlightenment, then gradually was lost in the increasing fragmentation and specialization of knowledge in the last two centuries. Drawing on the physical sciences and biology, anthropology, psychology, religion, philosophy, and the arts, Professor Wilson shows why the goals of the original Enlightenment are surging back to life, why they are reappearing on the very frontiers of science and humanistic scholarship, and how they are beginning to sketch themselves as the blueprint of our world as it most profoundly, elegantly, and excitingly is. (shrink)

What do mathematicians mean when they use terms such as ‘deep’, ‘elegant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians' appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics.

Biophilia is Edward O. Wilson's most personal book, an evocation of his own response to nature and an eloquent statement of the conservation ethic. Wilson argues that our natural affinity for life―biophilia―is the very essence of our humanity and binds us to all other living species.

Mathematical explanations are poorly understood. Although mathematicians seem to regularly suggest that some proofs are explanatory whereas others are not, none of the philosophical accounts of what such claims mean has become widely accepted. In this paper we explore Wilkenfeld’s suggestion that explanations are those sorts of things that generate understanding. By considering a basic model of human cognitive architecture, we suggest that existing accounts of mathematical explanation are all derivable consequences of Wilkenfeld’s ‘functional explanation’ proposal. We therefore argue that (...) the explanatory criteria offered by earlier accounts can all be thought of as features that make it more likely that a mathematical proof will generate understanding. On the functional account, features such as characterising properties, unification, and salience correlate with explanatoriness, but they do not define explanatoriness. (shrink)

In recent times developments in the natural sciences and in the sphere of environmental politics have compelled social scientists, and also some natural scientists, to rethink the relations that hitherto have been held, in Western thought generally and within particular disciplines, to characterize ‘nature’ on the one side and ‘culture’ on the other. This article considers the history of this conceptual boundary and looks at new conceptualizations of nature/culture, stimulated by developments both in biotechnology and in the ongoing controversies about (...) environmental degradation. It argues that while some of the contributions to reconfiguring, or abolishing, the nature/ culture division have been productive and stimulating of new ways of conceiving the world, there has nonetheless been an unfortunate tendency for social scientists to bring to bear inherited analytic dispositions on biotechnological and environmental matters. Instead of using these issues as means of challenging social scientific disciplinary dogmas and of engaging in constructive rapprochement with natural scientists, social scientists have in their analyses of such matters often merely asserted the hegemony of ‘culture’ over ‘nature’, and thus in effect the superiority of social scientific over natural scientific conceptualizations of the world. Far from overcoming the nature/culture boundary, social scientists have too often merely asserted the primacy of the sorts of subject matters and analytic techniques they feel comfortable with, rather than subjecting their practices to fully reflexive self-scrutiny. (shrink)

In this imaginative and comprehensive study, Edward Casey, one of the most incisive interpreters of the Continental philosophical tradition, offers a philosophical history of the evolving conceptualizations of place and space in Western thought. Not merely a presentation of the ideas of other philosophers, _The Fate of Place_ is acutely sensitive to silences, absences, and missed opportunities in the complex history of philosophical approaches to space and place. A central theme is the increasing neglect of place in favor of (...) space from the seventh century A.D. onward, amounting to the virtual exclusion of place by the end of the eighteenth century. Casey begins with mythological and religious creation stories and the theories of Plato and Aristotle and then explores the heritage of Neoplatonic, medieval, and Renaissance speculations about space. He presents an impressive history of the birth of modern spatial conceptions in the writings of Newton, Descartes, Leibniz, and Kant and delineates the evolution of twentieth-century phenomenological approaches in the work of Husserl, Merleau-Ponty, Bachelard, and Heidegger. In the book's final section, Casey explores the postmodern theories of Foucault, Derrida, Tschumi, Deleuze and Guattari, and Irigaray. (shrink)

Historically people with learning difficulties1 have been either included in research without their consent or excluded from research that affects their treatment and care. Over the last 20 years, however, it has been recognised that to exclude the voice of people with learning difficulties in research that reflects their lived experiences challenges our notion of ethical practice. Cognitive ability has traditionally been one of the key factors in determining ability to consent. This paper identifies, through work with a group of (...) men with learning difficulties, the impact of different ways of presenting information to prospective participants on their ability to understand key issues in relation to participation in research and hence their ability to give informed consent2. (shrink)

In this imaginative and comprehensive study, Edward Casey, one of the most incisive interpreters of the Continental philosophical tradition, offers a philosophical history of the evolving conceptualizations of place and space in Western thought. Not merely a presentation of the ideas of other philosophers, _The Fate of Place_ is acutely sensitive to silences, absences, and missed opportunities in the complex history of philosophical approaches to space and place. A central theme is the increasing neglect of place in favor of (...) space from the seventh century A.D. onward, amounting to the virtual exclusion of place by the end of the eighteenth century. Casey begins with mythological and religious creation stories and the theories of Plato and Aristotle and then explores the heritage of Neoplatonic, medieval, and Renaissance speculations about space. He presents an impressive history of the birth of modern spatial conceptions in the writings of Newton, Descartes, Leibniz, and Kant and delineates the evolution of twentieth-century phenomenological approaches in the work of Husserl, Merleau-Ponty, Bachelard, and Heidegger. In the book's final section, Casey explores the postmodern theories of Foucault, Derrida, Tschumi, Deleuze and Guattari, and Irigaray. (shrink)

In this article, we report a study in which 109 research-active mathematicians were asked to judge the validity of a purported proof in undergraduate calculus. Significant results from our study were as follows: (a) there was substantial disagreement among mathematicians regarding whether the argument was a valid proof, (b) applied mathematicians were more likely than pure mathematicians to judge the argument valid, (c) participants who judged the argument invalid were more confident in their judgments than those who judged it valid, (...) and (d) participants who judged the argument valid usually did not change their judgment when presented with a reason raised by other mathematicians for why the proof should be judged invalid. These findings suggest that, contrary to some claims in the literature, there is not a single standard of validity among contemporary mathematicians. (shrink)

Many of the methods commonly used to research mathematical practice, such as analyses of historical episodes or individual cases, are particularly well-suited to generating causal hypotheses, but less well-suited to testing causal hypotheses. In this paper we reflect on the contribution that the so-called hypothetico-deductive method, with a particular focus on experimental studies, can make to our understanding of mathematical practice. By way of illustration, we report an experiment that investigated how mathematicians attribute aesthetic properties to mathematical proofs. We demonstrate (...) that perceptions of the aesthetic properties of mathematical proofs are, in some cases at least, subject to social influence. Specifically, we show that mathematicians’ aesthetic judgements tend to conform to the judgements made by others. Pedagogical implications are discussed. (shrink)

The Scottish Mental Health Arts and Film Festival has seen hundreds of arts, public and community groups coproduce over 300 events to over 25,000 audience members. Integral to this arts-based approach, in contrast to social marketing or public education models, is the notion that mental health is an essentially contested concept whereby meanings are negotiated and debate encouraged. With emerging evidence that the festival is an ef ective way of engaging people intellectually and emotionally, we explore ethical issues, challenges and (...) paradoxes that have emerged as the festival has developed. Consideration is given to issues of power, purpose, opportunity costs, reach, impact, programming risks, and participation from those with experience of mental ill-health. Throughout, we explore practical implications for funding, managing, programming, marketing and evaluation of this and similar endeavours. (shrink)

Through a selection of primary sources, this article demonstrates the political and legal languages which articulated monarchist ideas in interwar Yugoslavia. Variations on the theme emerged in different periods. First, the national and so democratic character of the monarch and monarchy was a prevalent image at the end of the First World War and in the first decade of the Yugoslav state’s existence. During the domestic political crises in the second half of the 1920s, the language of monarchism shifted toward (...) discourses of stability and public order. After the declaration of the royal dictatorship in January 1929, the language of monarchism became fully invested in expressing the monarch’s absolute political authority, legally inviolable character, and the resulting ‘unity of state and nation’. For the political Right, the king embodied the spirit of integral Yugoslavism. While the language of monarchism could serve disparate political ideologies – as in the liberal monarchist emigration after spring 1941 – it was rather primarily linked to the political visions of the Right in the final decade of interwar Yugoslavia. (shrink)

Nonsymbolic comparison tasks are commonly used to index the acuity of an individual's Approximate Number System (ANS), a cognitive mechanism believed to be involved in the development of number skills. Here we asked whether the time that an individual spends observing numerical stimuli influences the precision of the resultant ANS representations. Contrary to standard computational models of the ANS, we found that the longer the stimulus was displayed, the more precise was the resultant representation. We propose an adaptation of the (...) standard model, and suggest that this finding has significant methodological implications for numerical cognition research. (shrink)

A common description of a mathematical proof is as a logically structured sequence of assertions, beginning from accepted premises and proceeding by standard inference rules to a conclusion. Does this description match the language of proofs as mathematicians write them in their research articles? In this chapter, we use methods from corpus linguistics to look at the prevalence of imperatives and instructions in mathematical preprints from the arXiv repository. We find thirteen verbs that are used most often to form imperatives (...) in proofs, and that these show up significantly more often within proofs than in the surrounding mathematical writing. We also show that there are many more verbs used to form a diverse selection of instructions in proofs. These findings are at odds with the view of proofs as sequences of assertions. Instead, we argue in favour of the recipe model of proofs: that proofs are like recipes, giving instructions for mathematical actions to be carried out. (shrink)

This volume continues this discussion with particular reference to medieval philosophy.Inglis shows that the modern historiography of medieval philosophy had ...

Discusses Indian Buddhist philosophy in three phases of its development.

Two experiments are reported which investigate the factors that influence how persuaded mathematicians are by visual arguments. We demonstrate that if a visual argument is accompanied by a passage of text which describes the image, both research-active mathematicians and successful undergraduate mathematics students perceive it to be significantly more persuasive than if no text is given. We suggest that mathematicians’ epistemological concerns about supporting a claim using visual images are less prominent when the image is described in words. Finally we (...) suggest that empirical studies can make a useful contribution to our understanding of mathematical practice. (shrink)

After defining a standard modal language and semantics, we offer some clear examples of logical and analytic truths that are not necessary. These examples: (a) are far simpler than the ones cited in the literature, (b) show that a popular conception of logical truth in modal languages is incorrect, and (c) show that there are contingent truths knowable ``a priori'' that do not depend on fixing the reference of a term.

This article calls for an end to the use of the term ‘invasive species’, both in the scientific and public discourse on wildlife conservation. There are two broad reasons for this: the first problem with the invasive species narrative is that this demonisation of ‘invasives’ is morally wrong, particularly because it usually results in the unjust killing of the animals in question. Following on from this, the second problem is that the narrative is also incoherent, both from scientific and philosophical (...) perspectives. At the heart of both of these issues is the problem that the invasive species narrative oversimplifies what are in fact very complex biological processes. As a result, the policies carried out with the stated aim of ‘controlling’ these animals are often unethical. In light of the current global species decline, this article asserts that the way we think and talk about these animals should be changed and the term ‘invasive species’ should be discontinued, in the hope that this leads to changes in practice. (shrink)

This is the first biography of the last and greatest British idealist philosopher, R. G. Collingwood, a man who both thought and lived at full pitch. Best known today for his philosophies of history and art, Collingwood was also a historian, archaeologist, sailor, artist, and musician. A figure of enormous energy and ambition, he took as his subject nothing less than the whole of human endeavor, and he lived in the same way, seeking to experience the complete range of human (...) passion. In this vivid and swiftly paced narrative, Fred Inglis tells the dramatic story of a remarkable life, from Collingwood's happy Lakeland childhood to his successes at Oxford, his archaeological digs as a renowned authority on Roman Britain, his solo sailing adventures in the English Channel, his long struggle with illness, and his sometimes turbulent romantic life. In a manner unheard of today, Collingwood attempted to gather all aspects of human thought into a single theory of practical experience, and he wrote sweeping accounts of history, art, science, politics, metaphysics, and archaeology, as well as a highly regarded autobiography. Above all, he dedicated his life to arguing that history--not science--is the only source of moral and political wisdom and self-knowledge. Linking the intellectual and personal sides of Collingwood's life, and providing a rich history of his milieu, History Man also assesses Collingwood's influence on generations of scholars after his death and the renewed recognition of his importance and interest today. (shrink)

The struggle to create and sustain meaning in our everyday lives is fought using cultural ingredients to spin the webs of meaning that keep us going. To help reveal the complexity and intricacy of the webs of meaning in which they are suspended, Tom Inglis interviewed one-hundred people in their native home of Ireland to discover what was most important and meaningful for them in their lives. Inglis believes language is a medium: there is never an exact correspondence (...) between what is said and what is felt and understood. Using a variety of theoretical lenses developed within sociology and anthropology, Inglis places their lives within the context of Ireland's social and cultural transformations, and of longer-term processes of change such as increased globalisation, individualisation, and informalisation. (shrink)

In this paper I am going to try to indicate my notion concerning the nature and subject-matter of psychology. I am a behaviorist. I hold that psychology does not seek descriptions and intercommunications concerning immediate experience per se. Such descriptions and attempts at direct intercommunications may be left to the arts and to metaphysics. Psychology seeks, rather, the objectively stateable laws and processes governing behavior. Organisms, human and sub-human, come up against environmental stimulus situations and to these stimulus situations they, (...) after longer or shorter intervals of time, behave. The laws and processes determining this their behavior are stateable in objective terms. Even in the cases where the organism is oneself, these determining causal factors can and must—for the purposes of psychology—be stated objectively. It is true that in these latter instances, in which the animal in question is oneself, one may in one's rôle, not of a psychologist, but of an artist or a metaphysician, attempt to describe and convey to another man one's own facts of immediate experience. But such a description and report of immediate experiences, except in so far as this report is itself a form of behavior and therefore like all other behaviors the basis for an investigation of the objective laws and processes underlying it, essentially new to the picture. Experience qua experience, while of concern and interest to the man in the street, the philosopher and the poet, does not enter as such into the laws and equations of psychology,—in so far, at any rate, as psychology is to be considered as a science. (shrink)

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

v. 1. Classical contributions to cosmopolitanism -- v. 2. Key contemporary analyses of cosmopolitanism -- v. 3. Cosmopolitans and cosmopolitanisms -- v. 4. Contested cosmopolitanisms.