This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, with comparisons between the various approaches included where appropriate. Constructive mathematics is now enjoying a revival, with interest from not only logicans but also category theorists, recursive function theorists and theoretical computer scientists. This account for non-specialists in these and other disciplines.

An anthology of readings in panpsychism, spanning two millennia.

This paper argues that professionals who make boundary-related decisions should be guided by relationship-based practice. In our roles as service users and professionals, drawing from our lived experiences of professional relationships, we argue we need to move away from distance-based practice. This includes understanding the boundary stories and narratives that exist for all of us – including the people we support, other professionals, as well as the organisations and systems within which we work. When we are dealing with professional boundary (...) issues, we should centre relationship-building skills that are central to many other aspects of our work. Skills that foster relationships at all levels – between professionals, service users, and services – need to be revalued. Our final recommendation is to create, develop, and foster safer spaces within and outside of organisations, as well as inter-professionally, for the discussion and exploration of boundary-related issues and practice. We are interested in hearing from those with experiences of being marginalised by boundaries so that they can inform a reshaping of our collective ideas around boundary related practices. To foster relationship-based practices in organisations, we have outlined several recommendations here; however, we recognize that these do not go far enough, and that collective action is needed to inform systemic change. (shrink)

Almost traditionally, it seems, accounts of the development of the concepts of work and energy have tended to describe them within the classical framework of Newtonian mechanics. They are seen as the end products of the celebratedvis-vivadispute in the eighteenth century: the outcome of a debate within the confines of the science of rational mechanics. I would like to suggest that this may be to take too narrow a view of the case. It is to project backwards our present specialist (...) arrangement of scientific knowledge, our present divisions between the sciences, and to assume that past development was strictly guided by these divisions. And this is to make questionable historical and sociological assumptions. (shrink)

This is a criticism of quine's treatment of mass terms such as "water", "gold", Etc. In word and object. Instead of becoming singular terms referring to a "scattered object", It is argued that they either become general terms as subjects of sentences or retain their unique status as ascribed to an indicated place.

This paper attempts to outline the logical structure of imperatives. It criticizes the prevailing view that this structure is isomorphic with that for indicatives. For "mixed" imperatives with constituents in both indicative and imperative moods (e.G., Conditional imperatives with indicative antecedents) there are features unique to imperatives. These features are specified, And consequences of them are traced. Finally, Formation rules for imperatives are stated.

This article traces the career path and personality of a chancery official or secretary in the service of the Gonzaga, the ruling dynasty of Mantua, in the middle years of the fifteenth century. It relates Giovanni Arrivabene to the contemporary social, political and cultural context of this secondary northern Italian power or signoria but touches the wider Italian world at many points, particularly the papal court, whether in Rome or other locations, where Giovanni’s talented younger brother served first as the (...) secretary of Cardinal Francesco Gonzaga and later as an apostolic secretary. The comparison between the two brothers and their interdependence as property owners is a recurring theme. Giovanni emerges with evident limitations which hampered the succession to his father’s superior role in the chancery, where other privileged families also tended to prevail. Humanist educated and efficient, he seems to have been a bureaucrat of routine abilities, not quite astute enough to outpace certain departmental rivals or to avoid being tainted by association with some possibly corrupt practice which caused loss of favour. His later rehabilitation, first as a provincial magistrate concerned with criminal jurisdiction and later as an estate management official, illustrates that private relationships within the narrow world of a civic quasi despotic government were all important. (shrink)

Einstein, in his “Zur Elektrodynamik bewegter Körper”, gave a physical (operational) meaning to “time” of a remote event in describing “motion” by introducing the concept of “synchronous stationary clocks located at different places”. But with regard to “place” in describing motion, he assumed without analysis the concept of a system of co-ordinates.In the present paper, we propose a way of giving physical (operational) meaning to the concepts of “place” and “co-ordinate system”, and show how the observer can define both the (...) place and time of a remote event. Following Einstein, we consider another system “in uniform motion of translation relatively to the former”. Without assuming “the properties of homogeneity which we attribute to space and time”, we show that the definitions of space and time in the two systems are linearly related. We deduce some novel consequences of our approach regarding faster-than-light observers and particles, “one-way” and “two-way” velocities of light, symmetry, the “group property” of inertial reference frames, length contraction and time dilatation, and the “twin paradox”. Finally, we point out a flaw in Einstein’s argument in the “Electrodynamical Part” of his paper and show that the Lorentz force formula and Einstein’s formula for transformation of field quantities are mutually consistent. We show that for faster-than-light bodies, a simple modification of Planck’s formula for mass suffices. (Except for the reference to Planck’s formula, we restrict ourselves to Physics of 1905.). (shrink)

I.Carl Schmitt's The Concept of the Political (1927; revised 1932 and 1933) has come to be widely recognized as a work of rare insight into the formative logic of the state. Much less apparent is that implicit within this theoretical distillation is a new type of political history. There is every indication—given the philosophical, theological, and aesthetic aspects of Schmitt's writings, no less than his overtly personal beliefs in this regard—that a history of the political relative to the modern state, (...) which is the focus of his historical interest, would entail more than the mere rarefaction of traditional, pragmatic…. (shrink)

This article begins from the assumption that what was once an integral dimension of progress—the development of literature and of art more generally—now lies outside its scope. The essay falls into three parts that juxtapose French with German intellectual history. The first part examines the notion of literary progress developed by Charles Perrault and Fontenelle, as well as the opposition to it by Boileau and other antiquarians, during the querelle des Anciens et des Modernes in the later seventeenth century. The (...) second part treats the reception of those arguments during the eighteenth century by J. C. Gottsched, J. J. Bodmer, and J. J. Breitinger. Special attention is given to the paradox that Gottsched, the leader of the German antiquarians, and Bodmer, the leader of the German progressives, were equally devoted to the Leibnizian-Wolffian philosophical system and thus that German Romanticism, heavily indebted to Bodmer's poetics, had roots in rationalist philosophy. The essay's third part discusses ideas of literary progress in the writings of the early Romantics J. G. Herder and Friedrich Schlegel. As these discussions show, the conception of general progress was formed in a field that has since dissociated itself from progress's march. (shrink)

This paper is an interpretation and defense of Putnam’s claim that reductionist sentences identifying experiences with physical events or processes are meaningless. Discourses are formulated within frameworks that are characterized by their methods of justification, types of term introduction, and vocabularies. Examples of both meaningful intra-framework and meaningless cross-framework identities are considered, along with examples of theoretical identities across sub-frameworks. In agreement with Putnam, mental/physical identities are classified as cross-framework. But I qualify Putnam’s thesis by arguing that they can be (...) meaningful to theextent they provide guides to beneficial social actions.’. (shrink)