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.

In this paper we argue for the contribution that deconstruction can make towards an understanding of complex systems. We begin with a description of what we mean by complexity and how Derrida’s thought illustrates a sensitivity towards the problems we face when dealing with complex systems. This is especially clear in Derrida’s deconstruction of the structuralist linguistics of Ferdinand de Saussure. We compare this critique with the work of Edgar Morin, one of the foremost thinkers of contemporary complexity and argue (...) for the possible contributions that both thinkers provide towards an understanding of complex phenomena in the world. We then move on to illustrate the particular economy of thinking we are forced to engage with when dealing with complex systems. This economy is inspired by Derrida’s deconstruction of Bataille’s general economy. This economy illustrates the fundamental nature of critique in the process of dealing with complex systems, the third concept we explore in this paper. The process of critique illustrates the necessity for both cutting apart and weaving together of economies in order to maintain the possibility for divergent ways of being in the world. We conclude with the ethical implications of dealing with complex systems and some first steps towards an ‘ethics of complexity’. (shrink)

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)

Responding to Kunneman’s argument that the notion of ‘ethical complexity’ introduces an existential and ethical turn in the field of complexity thinking, it is argued that Kunneman’s concept of ‘diapoiesis’ corresponds to a critical interpretation of ‘complexity thinking’. By applying critical complexity thinking to the notion of voluntary work, Kunneman explores the possibility of rearticulating the notion of voluntary work outside the boundaries of the static economic paradigm of consumption and production of labor. He redefines voluntary work in terms of (...) the many tensions that emerge as a result of belonging to a number of spheres simultaneously. Reconfigured by what can be called a ‘dialogical hermeneutics of complexity thinking’ Kunneman exposes the moral narrative that underpins the ethical imperative that is inextricably linked to ‘civic meaningfulness’. (shrink)

Open peer commentary on the article “Loving the Earth by Loving a Place: A Situated Approach to the Love of Nature” by Laura Candiotto. Abstract: We highlight the radicalness of Candiotto’s proposal, by following the flow of the conceptual devices that create a new language for deepening ways of thinking and enacting our relation with the Earth, in terms of loving sense-making, enactive listening, and becoming native.

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 $\vdash ^{\leftrightarrow}\cap \vdash ^{+}$.

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)