The Gongsun Longzi is often considered the only extant work of the Classical Chinese “School of Names”, an early intellectual tradition mainly concerned with logic and the philosophy of language. The Gongsun Longzi is a heterogeneous collection of five chapters that include short treatises and largely fictive dialogues between an anonymous persuader and his opponent, which typically revolve around a paradoxical claim. Its value as a testimony to Early Chinese philosophy, however, is somewhat controversial due to the intricate textual history (...) of the text and our limited knowledge about its intellectual backgrounds. This volume gathers contributions by leading specialists in the fields of Classical Chinese philosophy, philology, logic, and linguistics. Besides an overview of the scholarly literature on the topic and a detailed account of the reception of the text throughout time, it presents fresh insights into philological and philosophical problems raised by the Gongsun Longzi and other closely-related texts equally attributed to the “School of Names”. (shrink)

Contemporary theory of international politics faces a twofold problem: the critical engagement with legacies of national power politics in connection to 20th Century International Relations and the regeneration of notions of humanity. This book contributes to this engagement by a genealogy of thoughts on war, peace, and ethics"--Provided by publisher.

We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises (...) its refined composition and rigorous internal structure. (shrink)

The book demonstrates for the first time that transculturality – the mixed constitution of cultures – is by no means only a characteristic of the present, but has de facto determined the composition of cultures since time immemorial. This is demonstated using examples from the arts across all cultures and continents.

This book is about the interrelationship between nature, semiosis, metarepresentation and (self-)consciousness, and the role played by metarepresentation in ...

Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least time, the (...) principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. (shrink)

This series of images forms part of the ongoing project Soft Ground, Hard Light, which speculates on a multiscalar spatial ontology of photography emanating from the Arditurri silver mine complex in the Basque Country. Evoking the mountainous massif around Arditurri where silver ore and galena have been extracted since Roman presence in the area, the depicted topographies are, in fact, data transcriptions from atomic force microscopy (AFM) probing the analogue film stock of an early 1930s experiment in 3D cinema, Cine (...) en Relieve, by the Basque cinematographer Teófilo Mingueza. In contrast to optical or electron microscopy, AFM uses a scanning probe to physically touch the specimen, recording its surface undulations at the atomic scale of a nanometre, or a billionth of a metre. As a haptic operation based on direct contact between instrument and sample, between apparatus and referent, AFM is literally a contact print, a ‘blind’ scan that senses not the visual content of the recorded image but ‘feels’ its underlying material substrate of silver nanoparticles within the 35 mm film emulsion. The resulting image assemblies visualize a topography resulting from the intra-action between the silver nanoparticles and the scanning probe as much as its transcription through the particular parameters afforded by the AFM analysis software. Hard Light, Soft Ground was initiated during an artist’s residency at Tabakalera Centre for Contemporary Culture, Donostia-San Sebastián, and is currently in production as part of the wider research project Esper Syndrome: Archaeotopologies of the Image at the Royal College of Art, funded by the AHRC through the London Arts & Humanities Partnership. With additional thanks to the Basque Film Archive and Gustavo Ariel Schwartz at the Materials Physics Centre, Donostia-San Sebastián. (shrink)

This roundtable discussion is based on an online symposium – The Promise of Photography: Scale, Measure and Proportion in a Conflicted Visual Milieu – which took place on 17 September 2021. Since its inception, photography has promised to set things to scale, to grant them measure and proportion, a series of promises that have also entailed moments of irrationality or conflict that persist in and continue to shape the era of global networked digital imaging technologies. The symposium started out from (...) the diagnosis that, whilst photography continues to promise an ordered, proportionate and measured world in which things can be set to their proper scale, it also acts in many ways as an agent of dismeasure, disproportion and the unscalable. In light of this, the roundtable discussion presented here examines a range of different meanings that scale, measure and proportion have accrued in the photographic context and sets out to explore conceptual frameworks and research methodologies through which the current situation might be understood. (shrink)

We provide a finite axiomatization of the consequence , i.e. of the set of common sequential rules for and . Moreover, we show that has no proper non-trivial strengthenings other than and . A similar result is true for , but not, e.g., for +.

We provide a finite axiomatization of the consequence $\vdash ^{\wedge}\cap \vdash ^{\vee}$ , i.e. of the set of common sequential rules for $\wedge $ and $\vee $ . Moreover, we show that $\vdash ^{\wedge}\cap \vdash ^{\vee}$ has no proper non-trivial strengthenings other than $\vdash ^{\wedge}$ and $\vdash ^{\vee}$ . A similar result is true for $\vdash ^{\leftrightarrow}\cap \vdash ^{\rightarrow}$ , but not, e.g., for $\vdash ^{\leftrightarrow}\cap \vdash ^{+}$.

This essay explores the way in which early Christian writers held an eschatological understanding of what it is to be human, something that is to be attained, through the transformation of death and resurrection, and something that requires our assent. In this context, the article offers a new reading of the late fourth-century work entitled On the Human Image of God (otherwise known in English as On the Making of Man) by Gregory of Nyssa. It argues that Gregory structured his (...) text in parallel to the three parts of Timaeus’ speech in Plato's dialogue. The resulting picture sees creation as a dynamic ascent from the lower forms of life to the higher, a growth which is recapitulated in the life-span of each human being, and also the growth of the human race into the totality of human beings that together constitute the human being in the image of God, the body of Christ. (shrink)

Aristotle's Categories can easily seem to be a statement of a naïve, pre-philosophical ontology, centered around ordinary items. Wolfgang-Rainer Mann argues that the treatise, in fact, presents a revolutionary metaphysical picture, one Aristotle arrives at by (implicitly) criticizing Plato and Plato's strange counterparts, the "Late-Learners" of the Sophist. As Mann shows, the Categories reflects Aristotle's discovery that ordinary items are things (objects with properties). Put most starkly, Mann contends that there were no things before Aristotle. The author's argument consists (...) of two main elements. First, a careful investigation of Plato which aims to make sense of the odd-sounding suggestion that things do not show up as things in his ontology. Secondly, an exposition of the theoretical apparatus Aristotle introduces in the Categories--an exposition which shows how Plato's and the Late-Learners' metaphysical pictures cannot help but seem inadequate in light of that apparatus. In doing so, Mann reveals that Aristotle's conception of things--now so engrained in Western thought as to seem a natural expression of common sense--was really a hard-won philosophical achievement. Clear, subtle, and rigorously argued, The Discovery of Things will reshape our understanding of some of Aristotle's--and Plato's--most basic ideas. (shrink)