This article examines the intellectual and institutional factors that contributed to the col- laboration of neuropsychiatrist Warren McCulloch and mathematician Walter Pitts on the logic of neural networks, which culminated in their 1943 publication, “A Logical Calculus of the Ideas Immanent in Nervous Activity.” Historians and scientists alike often refer to the McCulloch–Pitts paper as a landmark event in the history of cybernetics, and fundamental to the development of cognitive science and artificial intelligence. This article seeks to bring some historical context to the McCulloch–Pitts collaboration itself, namely, their intellectual and scientific orientations and backgrounds, the key concepts that contributed to their paper, and the institutional context in which their collaboration was made. Al- though they were almost a generation apart and had dissimilar scientific backgrounds, McCulloch and Pitts had similar intellectual concerns, simultaneously motivated by issues in philosophy, neurology, and mathematics. This article demonstrates how these issues converged and found resonance in their model of neural networks. By examining the intellectual backgrounds of McCulloch and Pitts as individuals, it will be shown that besides being an important event in the history of cybernetics proper, the McCulloch– Pitts collaboration was an important result of early twentieth-century efforts to apply mathematics to neurological phenomena.

Excerpt: As a young man worrying about the fundamental questions of philosophy, metaphysics, and epistemology, McCulloch set himself the goal of developing an “experimental epistemology”: how can one really understand the mind in terms of the brain? More particularly, he sought to discover “A Logical Calculus Immanent in Nervous Activity.” The present paper will seek to provide some sense of McCulloch’s search for the logic of the nervous system, but will also show that his papers contain contributions to experimental epistemology which provide great insight into the mechanisms of nervous system function without fitting into the mold of a logical calculus. Moreover, McCulloch was not only a scientist but also a storyteller, poet, and memorable “character. ” I will thus interleave a number of characteristic anecdotes into the more objective attempts at scientific history that follow.

Self-referential systems theory does not provide for a concept of intelligence. There is even a certain resistance to intelligence that seems to block any explicit exchange of concepts with artificial systems theory. The paper describes the intelligence service in self-referential systems as the self-referential and, hence, paradoxical switching from the self-reference of these systems to other-reference. How this might work is shown by means of G. Spencer Brown’s calculus of indications and Heinz von Foerster’s notion of double closure.

Key words: george spencer-brown, heinz von foerster, intelligence, self-reference, systems

With reference to three seminal books on cybernetics, communication theory and the calculus of distinctions, this article discusses some main threads in Niklas Luhmann’s sociological systems theoretical thinking. It argues that the systems theory, despite its still lively reputation in some quarters of the humanities, is not technocracy’s last attempt to cope with the complexity of modern society. Rather, it is an inquiry into the improbability of communication and into its translation into social structure, or better, into social form.

Key words: causality, communication, cybernetics, distinction, form

The paper looks at a combination of systems theory, cybernetics, and sociological theory in search of a tool for inquiring into contemporary social forms. The idea of observing networks, drawing on Heinz von Foerster’s and Niklas Luhmann’s notion of observing systems and Harrison C. White’s network calculus of identity and control, is outlined to enable basic sociological intuitions about social forms to be integrated with an understanding of both complexity and recursivity organizing our perspective on the human condition in a precarious world. Social forms are shown to gain robustness not from substantial identity but from relational ambiguity. Observing networks, or so the hypothesis goes, combine bodies, minds, society, and – soon perhaps – intelligent machines. The paper looks at how an understanding of complexity, recursivity, system, form, and network may help flesh out the calculus of our human condition.

Key words: complexity, form, network, recursivity, society, system

The paper looks once more at the understanding and definition of autopoiesis as developed by Humberto R. Maturana, Francisco J. Varela, and Ricardo Uribe. We will focus on the question whether George Spencer-Brown’s Laws of Form presents us with a possibility of translating Maturana’s definition into a kind of a calculus. We look at Maturana’s emphasis on components, networks, and boundaries and try to figure out how this emphasis can translate into an understanding of form that knows about self-reference, paradox, and play.

Key words: autopoiesis, calculus, form, network, value.

Self-reference and recursion characterize a vast range of dynamic phenomena, particularly biological automata. In this paper we investigate the dynamics of self-referent phenomena using the Extended Calculus of Indications (ECI) of Kauffman and Varela, who have applied the ECI to mathematics, physics, linguistics, perception, and cognition. Previous studies have focused on the algebraic structure of the ECI, and on form dynamics using only the arithmetic of Spencer-Brown. We here examine the temporal behavior of self-referent or reentrant forms using the full power of the ECI to represent tangled hierarchies and multiple enfolded dimensions of space-time. Further, we explore the temporal convolution of static and recursive states in coherent fluctuation, providing a foundation for going beyond the Turing model of computation in finite automata. Novel results are presented on the structure of reentrant forms and the canonical elements of form eigenbehavior, the characteristic self-determined dynamic inherent in reentrant forms.

The present issue is a memorial issue for Francisco Varela both as a scholar and as a colleague. Varela passed away in his home in Paris on May 28 2001. He was part of the editorial board of this journal and thus in this memorial issue we would like to look into his heritage. Most of the papers we present have authors that have known and worked with Varela in some period of their and his life: Ranulph Glanville, Louis Kauffman, Andreas Weber. Weber makes the case that Varela’s thinking can provide a foundation for biosemiotics and as such it provides a further foundation for the cybersemiotic project. Most interesting and promising is his comparison with Varela’s concept of the organism and Bruno Latour’s concept of quasi-objects. The other articles all have some relationship to Varela’s elaboration on the work of Spencer-Brown. Using the metaphor of the Uroboros, Marks-Tarlow, Robertson, and Combs explore the notion of re-entry in Varela’s ‘A Calculus for Self-Reference ’ and his contribution to a theory of consciousness. In their articles, Glanville and Kauffman reflect upon their experience working with Varela on joint papers.

Context: Non-dualistic thinking is an alternative to realism and constructivism. Problem: In the absence of a distinct definition of the term “description,” the question comes up of what exactly can be included in non-dualistic descriptions, and in how far the definition of this term affects the relation between theory and empirical practice. Furthermore, this paper is concerned with the question of whether non-dualism and dualism differ in their implications. Method: I provide a wider semantic framework for the term “description” by means of George Spencer Brown’s terminology in his calculus of indications as laid out in Laws of Form. The connection of descriptions and distinctions enables descriptions to comprise reflections and language as well as empirical observations. Results: Non-dualism can be thought of in different ways but still has essential elements in common with dualism. Implications: Non-dualism, as well as dualism, is an argumentation technique suitable for specific situations, but without significant differences in implications.

Key words: Distinction and indication, neutralistic basis, temporal paradox, re-entry, semantic, empirical and operational non-dualism

A research effort aimed at the development and unification of the prerequisite underlying theoretical foundations for an adequate approach to knowledge elicitation from repertory grid data is described. A theory of confirmation that incorporates the basic tenets of personal construct psychology directly into the logic as a basis for the determination of relevance is offered, thus strengthening the logic and extending personal construct psychology. These largely theoretical developments are applied to the representation and analysis of repertory grid data. The concept of an alpha -plane is introduced as a binary decomposition of repertory grid data that furnishes the realization of construct extensions (or ranges of convenience) needed to determine the range of relevance of a particular generalization or hypothesis. In addition, they provide the uniquely determined string of incidences required by any application of Bundy’s truth functional incidence calculus. The theories are applied to the design and construction of NICOD-a semiautomated medical knowledge acquisition system. The system has been successfully employed in the elicitation of valuable heuristic radiological knowledge (mammography) that the domain experts (radiologists) were otherwise unable to articulate.