The paper presents the most general aspects of scientific modeling and shows that social systems naturally include different belief systems. Belief systems differ in a variety of respects, most notably in the selection of suitable qualities to encode and the internal structure of the observables. The following results emerge from the analysis: conflict is explained by showing that different models encode different qualities, which implies that they model different realities; explicitly connecting models to the realities that they encode makes it (...) possible to clarify the relations among models; by understanding that social systems are complex one knows that there is no chance of developing a maximal model of the system; the distinction among different levels of depth implicitly includes a strategy for inducing change; identity-preserving models are among the most difficult to modify; since models do not customarily generate internal signals of error, strategies with which to determine when models are out of synch with their situations are especially valuable; changing the form of power from a zero sum game to a positive sum game helps transform the nature of conflicts. (shrink)

In the introduction we explain why the relation between the Object and the Subject is a crucial problem of philosophy. The key point in understanding the Object-Subject relation is the vision on Reality that humans shared in different periods of the historical time. We next describe some historical aspects concerning the transdisciplinary concept of “level of Reality”, namely in relation with the work of John of the Ladder, Nicolai Hartmann and especially Werner Heisenberg. We finally analyze a unified theory of (...) levels of Reality - the transdisciplinary approach, with its three axioms: levels of Reality, logic of included middle and complexity. We describe an important consequence of the transdisciplinary approach: the existence of a zone of non-resistance, which plays the role of a third between the Subject and the Object. This Hidden Third is an interaction term which allows the unification of the transdisciplinary Subject and the transdisciplinary Object while preserving their difference. (shrink)

The paper presents color as a case study for the analysis of phenomena that pertain to several levels of reality and are typically framed by different sciences and disciplines. Color, in fact, is studied by physics, biology, phenomenology and aesthetics, among others. Our thesis is that color is a different entity for each level of reality, and that for this reason color generates different observables in the epistemologies of the different sciences. By analysing color as a paradigmatic case of an (...) entity naturally spreading over different levels of reality, the paper raises the question as to whether making explicit the usually implicit ontological assumptions embedded within the different observables exploited by the different sciences may eventually clarify some of the difficulties of developing a comprehensive theory of color. (shrink)

Following a previous article published in Biological Theory, in this study we present a mathematical theory for a science of qualities as directly perceived by living organisms, and based on morphological patterns. We address a range of qualitative phenomena as observables of a psychological system seen as an impredicative system. The starting point of our study is the notion that perceptual phenomena are projections of underlying invariants, objects that remain unchanged when transformations of a certain class under consideration are applied. (...) The study develops with the observables, the entailed total order and metric, whence the algebra and the geometry of such a science, presenting a formal phenomenological model for phenomena that are not rigidly Euclidean. We show how non-Euclidean perception can have many useful Euclidean formalizations, as well as locally-homeomorphic-to-Euclidean-space models. The mathematical models we provide are tested on the basis of results from experimental psychology, in particular from the field of color, time, and space perception. (shrink)

Poems are treated by translators as hierarchical multilevel systems. Here we propose the notion of “multilevel poetry translation” to characterize such cases of poetry translation in terms of selection and rebuilding of a multilevel system of constraints across languages. Different levels of a poem correspond to different sets of components that asymmetrically constrain each other (e. g., grammar, lexicon, syntactic construction, prosody, rhythm, typography, etc.). This perspective allows a poem to be approached as a thinking-tool: an “experimental lab” which submits (...) language to unusual conditions and provides a scenario to observe the emergence of new patterns of semiotic behaviour as a result. We describe this operation as a problem-solving task, and exemplify with Augusto de Campos’ Portuguese translation of John Donne’s poem “The Expiration.”. (shrink)