In a previous paper, an interpretation of spirituality along constructivist lines was proposed (Gash and Shine Thompson, 2002). One of the lines of exploration discussed personal transformation as a possible consequence of an experience of an epiphany – a moment of grace. Epiphanies are first, grounded in constructivist psychology as moments when a person shifts levels to reach new understandings (Gregory Bateson, 1987). Epiphanies are also moments of insight that allow the possibility of personal transformation, and hence potentially desirable experiences of spiritual growth. In the present paper we outline a series of experiences of epiphanies in children’s learning in the context of a project on constructionist learning led by one of us – Deirdre Butler. The purpose of the paper is to make a case for the importance of such moments as providing opportunities for personal growth, encapsulated in the title of the project EmpoweringMinds. Relevance: The value of wonder in education; using digital technology in classrooms

Key words: Constructivism, spirituality, children, creative learning

Discourse about smart algorithms and digital social agents still refers primarily to the construction of artificial intelligence that reproduces the faculties of individuals. Recent developments, however, show that algorithms are more efficient when they abandon this goal and try instead to reproduce the ability to communicate. Algorithms that do not “think” like people can affect the ability to obtain and process information in society. Referring to the concept of communication in Niklas Luhmann’s theory of social systems, this paper critically reconstructs the debate on the computational turn of big data as the artificial reproduction not of intelligence but of communication. Self-learning algorithms parasitically take advantage – be it consciously or unaware – of the contribution of web users to a “virtual double contingency.” This provides society with information that is not part of the thoughts of anyone, but, nevertheless, enters the communication circuit and raises its complexity. The concept of communication should be reconsidered to take account of these developments, including (or not) the possibility of communicating with algorithms.

Key words: social algorithms, big data, artificial intelligence, neural networks, deep learning, double contingency, systems theory.

Excerpt: I would like to present a view of software development as an insight-building process in terms of multiperspectivity, self-organization and dialogue, drawing on epistemological ideas that have emerged from the discourse in Rational Constructivism.

Key words: Radical Constructivism, multiperspectivity, software development, design, Heinz von Foerster

Context: W. R. Ashby’s work on homeostasis as the basic mechanism underlying all kinds of physiological as well as cognitive functions has aroused renewed interest in cognitive science and related disciplines. Researchers have successfully incorporated some of Ashby’s technical results, such as ultrastability, into modern frameworks (e.g., CTRNN networks). Problem: The recovery of Ashby’s technical contributions has left in the background Ashby’s far more controversial non-technical views, according to which homeostatic adaptation to the environment governs all aspects of all forms of life. This thesis entails that life is fundamentally “heteronomous” and it is conceptually at odds with the autopoiesis framework adopted by Ashby’s recent defenders as well as with the primacy of autonomy in human life that most of the Western philosophical tradition upholds. The paper argues that the use of computer simulations focused on the more conceptual aspects of Ashby’s thought may help us recover, extend and consequently assess an overall view of life as heteronomy. Method: The paper discusses some computer simulations of Ashby’s original electro-mechanical device (the homeostat) that implement his techniques (double-feedback loops and random parameter-switching). Results: First simulation results show that even though Ashby’s claims about homeostatic adaptivity need to be slightly weakened, his overall results are confirmed, thereby suggesting that an extension to virtual robots engaged in minimal cognitive tasks may be successful. Implications: The paper shows that a fuller incorporation of Ashby’s original results into recent cognitive science research may trigger a philosophical and technical reevaluation of the traditional distinction between heteronomous and autonomous behavior. Constructivist content: The research outlined in the paper supports an extended constructionist perspective in which agency as autonomy plays a more limited role.

Key words: Second-order cybernetics, autonomy and agency, general homeostasis thesis, W. R. Ashby, homeostat, concept simulation

Problem: Is constructivism contradicted by the reductionist determinism inherent in digital computation? Method: Review of examples from dynamical systems sciences, agent-based modeling and artificial intelligence. Results: Recent scientific insights seem to give reason to consider constructivism in line with what computation is adding to our knowledge of interacting dynamics and the functioning of our brains. Implications: Constructivism is not necessarily contradictory to digital computation, in particular to computer-based modeling and simulation. Constructivist content: When viewed through the lens of computation, in many of its aspects constructivism seems in line with what currently is held to be valid in science.

Key words: Computation, observation, emergence, downward causation, simulation, modeling, artificial intelligence, robotics

Problem: The inclusion of the observer into scientific observation entails a vicious circle of having to observe the observer as dependent on observation. Second-order science has to clarify how its underlying circularity can be scientifically conceived. Method: Essayistic and conceptual analysis, sporadically illustrated with agent-based experiments. Results: Second-order science – implying science in general – is fundamentally and ineluctably circular. Implications: The circularity of second-order science asks for analytical methods able to cope with phenomena of complex causation and “synchronous asynchrony,” such as tools for analyzing non-linearly interacting dynamics, decentralized, clustered networks and in general, systems of complex interacting components.

Key words: Observer dependency, second-order science, complexity, information, intentionality

Context: Referring to a recent proposition by Kauffman about the “fundamental nature of circularity in cybernetics and in scientific work in general,” I try to advance this insight with the help of system scientific concepts and a computational model. Problem: Often circularity seems to be taken as a metaphor that does not provide a firm epistemological base that fosters analysis. Method: The methodology builds on mathematics, computer-based modeling, and reasoning. Results: By building on conceptual suggestions for grasping the micro-macro difference of complex systems in terms of computational power, circularity can be conceived of as an emerging macro-level phenomenon. Implications: I show that the seemingly irritating - and traditionally evaded - concept of circularity is a fundamental and ubiquitous phenomenon in complex systems that can be grasped on a firm physical basis open to computational analysis. The proposal could support constructivist reasoning and help to eventually bridge the disconcerting gap between the humanities and natural sciences. Constructivist content: Circularity is a fundamental principle in the conception of second-order cybernetics and in particular in the observation of observing systems, as suggested by von Foerster. Trying to set it up on a firm analytical basis could advance the constructivist approach and further support it in becoming the contemporary scientific epistemology it deserves to be.

Key words: Circularity, micro-/macro difference, emergent phenomena