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This paper concludes a three part series by reimagining processes of emergence along the lines of a formal 'blueprint' for the 'logic' of these processes, a topic surprisingly neglected even within the camp of those advocating some form of emergence. This formalism is presented according to the following conceptual strategy. First, the explanatory gap of emergence, the presence of which is one of the main defining characteristics of emergent phenomena, is interpreted in terms of uncomputability, an idea introduced in complexity science in order to supplement the more traditional features of unpredictability, nondeducibility, and irreducibility. Uncomputability is traced back to a method devised by Georg Cantor in a very different context. I label Cantor's formalism a type of 'self-transcending construction' (STC), a phrase coined by an early commentator on Cantor's work. Next, I examine how Cantor's STC was appropriated, respectively, in the work of Gbdel and Turing on undecidability and uncomputability. Next, I comment on how self-transcending constructions derive a large measure of their potency via a kind of 'flirtation' with paradox in a manner similar to what Gbdel and Turing had done. Finally, I offer some suggestions on how the formalism of an STC can shed light on the nature of macro-level emergent wholes or integrations. This formalism is termed a 'self-transcending construction' a term derived from the anti-diagonalization method devised by George Cantor in 1891 and then utilized in the limitative theorems of Godel and Turing., Hollow rhetoric or substantive concept? ...but we have that in physics as well--physics is all emergent! Niels Bohr (Pavarini, Koch, & Schollwolk, 2013; footnote, p.1) While talking with a prominent [...]

Cantor's STC in the limitative theorems of Godel and Turing We have gone over the inner workings of Cantor's self-transcending construction, whose potency in generating radically novel outcome by way [...]

Para a minha querida Carolina: De toda a correnteza Que tudo vai levar... Rio que vai pro mar (por Bebel Gilberto 'Canqao Rio') Certainly, by not using language we could [...]

EMERGENCE, QUALITY, AND THE LIMITATIONS OF ORDINARY NOVELTY There is nothing new in novelty... C. W. Berenda (1953) Gotshalk's Proto-emergentism Dilman Walter Gotshalk, who lived from 1901 to 1973 (see [...]

Originally published as Rorty, R.M. (1961). 'The limits of reductionism,' in I.C. Lieb (ed.), Experience, Existence, and the Good, Carbondale, IL: Southern Illinoise University Press, pp. 100-116. Reprinted with kind [...]

This paper lays-out an approach for probing the nature of complex systems through focusing on parameters in relation to variables and understanding parameters in terms of contexts and constraints. Rather than starting from a set of preconceived abstract principles in order to build up a philosophical conceptualization of complex systems, the paper instead starts with the praxis of working with complex system through the means of modeling, intervening, and leading them. From this grounding in praxis, the paper offers a set of conceptual tools for more effectively understanding and hence working with complex systems, including guidelines into a philosophy of complex systems. This paper is meant to the first of two related papers. The first, the one presented here, looks primarily at the role of parameters in mathematics and the relation of parameters to contexts and constraints. The paper turns to the study of semantics in linguistics as to help unpack the role of parameters and contexts in complex systems. The second paper will present case studies utilizing the conceptual tools developed in the first paper. In particular the follow-up paper will look at various aid programs around the world being used to fight poverty and low quality of life conditions. It is hoped that a complexity science lens can make such programs more effective., There's Chomsky up on the top shelf, next to Plato. Ray Jackendoff (2011) Introduction Content And Context At first glance, the opening quote may seem a strange thing to say, [...]

As the 21st century enters its second decade, social systems of all types and from across the globe are undergoing profound changes. The global economic system was shaken in 2008 [...]

Just as now can't reveal the mystery of tomorrow. Stevie Wonder, 'As' Often, analytical approaches ... [have] either been devoted to the macro level, or the micro level. The interest [...]

A Review of The Dialectical Tragedy of the Concept of Wholeness: Ludwig von Bertalanffy's Biography Revisited written by David Pouvreau reviewed by Jeffrey Goldstein published by ISCE Publishing ISBN 9780981703282 [...]

E:CO has a New Subtitle This issue signifies the start of volume number 11, a feat showing not just how far E:CO has come in a relatively short amount of [...]

Walter Buckley (with an introduction by David Schwandt & Jeffrey A. Goldstein). Although the phrase 'complex adaptive system' is one usually thought to have been coined at the Santa Fe [...]

This paper looks at how ideas, constructs, methods and insights coming out of the sciences of complex systems can be applied to the study of social entrepreneurship. At present, there [...]

The First International Conference on Social Entrepreneurship, Systems Thinking, and Complexity held at Adelphi University This special issue of E:CO emerged out of papers given at The First International Conference [...]

A Review of Reinventing the Sacred: A New View of Science, Reason, and Religion written by Stuart Kauffman reviewed by Jeffrey A. Goldstein published by Basic Books ISBN 9780465003006 (2008) [...]

I find this issue, 10.2, of E:CO striking not only for its abundance of complexity research and theory being applied across quite diverse types of systems, but also for its [...]

'Diversely to treat of matters is as good and better as to treat them conformably.' -Montaigne, Essays Diversity of contents I was struck with just how much this issue of [...]

Originally published in Barnard, C. I. (1938). The Functions of the Executive, ISBN 0674328035 (2005), pp. 8-21. The E:CO editorial team would like to thank Harvard University Press for their [...]

Background The Classical Paper of this issue was written in 1939 by the philosopher W. T. Stace who argued against the metaphysical viability of emergence in a manner similar to [...]

A mathematical formalism for emergence As described in the editorial opening the first issue, E:CO is aiming at the intersection of three gaps: * The distance between academic theory and [...]

W. Ross Ashby Originally published as Ashby, W. R. (1962). 'Principles of the self-organizing system,' in Principles of Self-Organization: Transactions of the University of Illinois Symposium, H. Von Foerster and [...]

We see that the intellect, so skillful in dealing with the inert, is awkward the moment it touches the living. Henri Bergson (1983:165) The concept of emergence is playing an [...]

The Paradox Principles How High-Performance Companies Manage Chaos, Complexity, and Contradiction to Achieve Superior Results Price Waterhouse Change Integration Team (Irwin, 1996) A recent marketing gambit among business book publishers [...]

Emergence, as in the title of this new journal, refers to the arising of novel and coherent structures, patterns, and properties during the process of self-organization in complex systems. Emergent [...]

Introduction In the previous issue, ECO's classic paper and my introduction to was Robert May's pioneering work in chaos theory, in particular an exploration of the by now iconic logistic [...]

In this and the next issue of E:CO, we are reprinting two classic papers emanating from and even generating much of the ground swell of burgeoning enthusiasm for chaos theory forty years ago. Yes, it's been that long! These papers were among the first to explore the nature of bifurcation, attractors, and chaos as discovered in complex systems through developing new mathematical tools and conceptual frameworks. These papers are truly foundational in their ramifications and implications and yet come across as fresh as if they were written yesterday., Introduction The routes by which its aficionados have come to complexity science are many and varied but several prototypes of complex systems stand out as salient 'attractors' of interest (for [...]

Introduction This Special Issue is special for several reasons. The first concerns its content, the application of complexity sciences to the study of leadership. Although ideas and methods from the [...]

Risking the claim of redundancy, I find myself again needing to express my amazement at just how rich this issue's contents have turned out to be. It's like a buffet [...]

Even a quick perusal of the contents of this issue of E:CO cannot but reveal it to be, in Ovid's wonderful phrase, 'an embarrassment of riches,' or, as a similar [...]

The three papers in this section touch in one way or another on epistemological concerns involved in the study of complex systems. Why the apparently special relevance of epistemology for [...]

'In science one becomes enlightened not by discovering ways to believe things that make no sense but by identifying things that one does not understand and doing experiments to clarify [...]

Albert Einstein once pointed out,' The results of scientific research very often force a change in the philosophical view of problems which extend far beyond the restricted domain of science [...]