Context: Humberto Maturana has generated a coherent and extensive explicatory matrix that encompasses his research in neurophysiology, cognition, language, emotion, and love. Purpose: Can we formulate a map of Maturana’s work in a manner that is consistent with the systemic matrix it represents and that serves as an aid for understanding Maturana’s philosophy without reifying its representation? Method: Our arguments are based on experience gained from teaching and presentations. Results: We present a map that that represents Maturana’s main contributions as clusters of notions clustered according to how we see them to be related to each other as a projection of a matrix of ideas onto a two-dimensional space. We claim that there are many paths through these clusters of ideas. Though ideas relevant to individuals are obtained from various partial perspectives, a deep understanding of any element is dependent on an understanding of the whole matrix. Furthermore, we summarize the contributions to this special issue on Maturana.

Key words: generative process, matrix of concepts, systemic, conceptual map, pedagogy

Context: By proposing to regard objects as “tokens for eigenbehavior,” von Foerster’s seminal paper opposes the intuitive subject-object dualism of traditional philosophy, which considers objects to be instances of an external world Problem: We argue that this proposal has two implications, one for epistemology and one for the demarcation between the natural sciences and the humanities. Method: Our arguments are based on insights gained in computational models and from reviewing the contributions to this special issue. Results: Epistemologically, von Foerster’s proposal suggests that what is called “reality” could be seen as an ensemble of eigenforms generated by the eigenbehavior that arises in the interaction of multiple dynamics. Regarding science, the contributions to this special issue demonstrate that the concept of eigenbehavior can be applied to a variety of disciplines from the formal and natural sciences to the humanities. Its universal applicability provides a strong argument for transdisciplinarity, and its emphasis on the observer points in the direction of an observer-inclusive science. Implications: Thinking in eigenbehavior may not only have implications for tearing down the barriers between sciences and humanities (although a common methodology based on von Foerster’s transdisciplinary approach is still to crystalize), a better understanding of eigenbehaviors may also have profound effects on our understanding of ourselves. This also opens the way to innovative behavior design/modification technologies.

Key words: Eigenbehavior, eigenform, Heinz von Foerster, computational philosophy, scientific methodology, observer-inclusive science, transdisciplinarity, nondualism

Excerpt: In 8 March 2007 Ernst von Glasersfeld attains the age of 90. In celebration of this, we take great pride in publishing this festschrift as our way of saying thank you, and of sending greetings and our affection to this remarkable, honest and modest man. A festschrift is a particular publication, and we have a particular approach. We require that in the all pieces we will publish, the work of von Glasersfeld will take centre stage. We also invite two types of contribution: the more normal academic paper, and more anecdotal pieces which carry a more personal message. We are grateful to our authors for helping us realise a festschrift that attains these aims. We add our thanks, too, to photographers, artists and poets who have enriched the von Glasersfeld related material we have been able to publish, which, we believe, enhances the general quality.

Key words: Ernst von Glasersfeld, radical constructivism

Context: The journal Constructivist Foundations celebrates ten years of publishing articles on constructivist approaches, in particular radical constructivism. Problem: In order to preserve the sustainability of radical constructivism and regain its appeal to new generations of researchers, we set up a new course of action for and with the radical constructivist community to study its innovative potential. This new avenue is “second-order science.” Method: We specify two motivations of second-order science, i.e., the inclusion of the observer, and self-reflexivity that allows second-order science to operate on the products of normal or first-order science. Also, we present a short overview of the contributions that we have collected for this inaugural issue on second-order science. Results: These six initial contributions demonstrate the potential of the new set of approaches to second-order science across several disciplines. Implications: Second-order science is believed to be a cogent concept in the evolution of science, leading to a new wave of innovations, novel experiments and a much closer relationship with current research in the cognitive neurosciences in particular, and with evolutionary and complexity theories in general.

Key words: Radical constructivism, second-order science, observer, self-reflexivity

Context: Many recent research areas such as human cognition and quantum physics call the observer-independence of traditional science into question. Also, there is a growing need for self-reflexivity in science, i.e., a science that reflects on its own outcomes and products. Problem: We introduce the concept of second-order science that is based on the operation of re-entry. Our goal is to provide an overview of this largely unexplored science domain and of potential approaches in second-order fields. Method: We provide the necessary conceptual groundwork for explorations in second-order science, in which we discuss the differences between first- and second-order science and where we present a roadmap for second-order science. The article operates mainly with conceptual differentiations such as the separation between three seemingly identical concepts such as Science II, Science 2.0 and second-order science. Results: Compared with first-order science, the potential of second-order science lies in 1. higher levels of novelty and innovations, 2. higher levels of robustness and 3. wider integration as well as higher generality. As first-order science advances, second-order science, with re-entry as its basic operation, provides three vital functions for first-order science, namely a rich source of novelty and innovation, the necessary quality control and greater integration and generality. Implications: Second-order science should be viewed as a major expansion of traditional scientific fields and as a scientific breakthrough towards a new wave of innovative research. Constructivist content: Second-order science has strong ties with radical constructivism, which can be qualified as the most important root/origin of second-order science. Moreover, it will be argued that a new form of cybernetics is needed to cope with the new problems and challenges of second-order science.

Key words: Philosophy of science, methodology of science, first-order science, second-order science, Science 2.0, Science II, new cybernetics, second-order cybernetics, scientific novelty, re-entry

Context: Although second-order cybernetics was proposed as a new way of cybernetic investigations around 1970, its general status and its modus operandi are still far from obvious. Problem: We want to provide a new perspective on the scope and the currently available potential of second-order cybernetics within today’s science landscapes. Method: We invited a group of scholars who have produced foundational work on second-order cybernetics in recent years, and organized an open call for new approaches to second-order cybernetics. The accepted contributions are discussed and mapped. We also investigate the relations between second-order cybernetics and second-order science. Results: We present a coherent outlook on the scope of second-order cybernetics today, identify a general methodology of science (with second-order cybernetics as a special instance) and show that second-order cybernetics can be used in a large number of disciplines that go well beyond purely scientific domains. These results are based on a new epistemic mode “from within,” which can be traced back directly to von Foerster. We also arrived at the conclusion that from its early years onwards second-order cybernetics was developed in two different ways, so that second-order cybernetics and second-order science operate in different domains. Implications: Both the coherent perspective of the scope of second-order cybernetics with a new five-part agenda and the outline for a general methodology of science based on a new epistemic mode that was created within and for second-order cybernetics demonstrate the growing importance of reflexivity in science, which, so far, has not been widely recognized.

Key words: Second-order cybernetics, second-order science, observers, endo-mode, reflexive domains, scientific methodology, Heinz von Foerster, Ranulph Glanville

This paper discusses the notion of representation and outlines the ideas and questions which led to the organization of this volume. We argue for a distinction between the classical view of referential representation, and the alternative concept of system-relative representation. The latter refers to situated cognitive processes whose dynamics are merely modulated by their environment rather than being instructed and determined by it.

Both the system theory of evolution and the epistemology of radical constructivism provide fertile inspiration for enhancements of artificial life. Within this paper I will demonstrate that (a) one can move the emphasis on sensory information processing to a more expectation-driven algorithm; and (b) that a separation between the operational closed brain on the one hand and sensors and motor elements on the other hand will enable the study of cognitive mechanisms independent of the actual environment.

Excerpt: The aim of the Constructivist Artificial Life Model (CALM) presented here is to bring artificial life to a cognitive level, i.e. to the level of the organization and evolution of increasingly complex behaviors. In this context, cognition denotes the ability of individuals to survive in their environment and to construct a viable worldview in the sense of constructivism. First, the motivational aspects that led to the formulation of CALM are presented. These are based on ethology, on the systems theory of evolution and on radical constructivism. The model is presented in detail in Section 3. Section 4 describes an example environment in which agents equipped with the constructivist cognitive apparatus have to prove themselves. Finally, in Sections 5 and 6, a summary of the model and an outlook on possible extensions is given.