Complex impure systems: Sheaves, freeways, and chains

Fundamental to the approach of Complex Impure Systems is the definition of the concept of an s-impure set as a set of perceptual beliefs or denotative significances (relative beings) of material and/or energetic real objects (absolute beings). But any Subject not only the subject S perceives objects O as significances, and he perceives the existing relations between these significances or, alternatively, he infers them. The study of these relations, conceived not as a singular relation between singular objects, but as sheaves of relations in both directions and forming relational freeways, will be studied here. In this work, we approach the structure of the system, from a synchronous point of view, as a first approach to this class of systems. VC 2016 Wiley Periodicals, Inc. Complexity 000: 00–00, 2016

[1]  Jorge Mateu,et al.  Mathematical approach to the concept of environment: Open systems and processes , 2002, Int. J. Gen. Syst..

[2]  Robert-Alain de Beaugrande,et al.  Einfuhrung in die Textlinguistik , 1973 .

[3]  Manuel Alfonseca,et al.  Evolving a predator-prey ecosystem of mathematical expressions with grammatical evolution , 2015, Complex..

[4]  Seth Lloyd,et al.  Information measures, effective complexity, and total information , 1996 .

[5]  Josep Lluis Usó-Doménech,et al.  A logic-mathematical point of view of the truth: Reality, perception, and language , 2015, Complex..

[6]  N. Cocchiarella Science Without Numbers: A Defence of Nominalism , 1984 .

[7]  Carlos Gershenson Comments to neutrosophy , 2001 .

[8]  B. C. Patten Environs: Relativistic Elementary Particles for Ecology , 1982, The American Naturalist.

[9]  Bernard C. Patten,et al.  Systems Approach to the Concept of Environment , 1978 .

[10]  Penelope Maddy,et al.  Set theoretic naturalism , 1996, Journal of Symbolic Logic.

[11]  Hans-Joachim Ziock,et al.  A definition of information, the arrow of information, and its relationship to life , 2011, Complex..

[12]  Josep Lluis Usó-Doménech,et al.  Causality in H -semiotic systems of ecosystems: Routes and tours , 2002, Int. J. Gen. Syst..

[13]  H. Putnam What is mathematical truth , 1975 .

[14]  A. Burks,et al.  Collected Papers of Charles Sanders Peirce Vols. VII and VIII. , 1960 .

[15]  Josep Lluis Usó-Doménech,et al.  An introduction to alysidal algebra (III) , 2012, Kybernetes.

[16]  S. Ariel,et al.  Introduction to Theoretical Linguistics. , 1968 .

[17]  David MacCallum Conclusive reasons that we perceive sets , 2000 .

[18]  Josep Lluis Usó-Doménech,et al.  System-linkage: Structural Functions and Hierarchies , 1998, Cybern. Syst..

[19]  Daniel Berend,et al.  An introduction to alysidal algebra (II) , 2012, Kybernetes.

[20]  Carlos Gershenson,et al.  Complexity measurement of natural and artificial languages , 2013, Complex..

[21]  Morris,et al.  EL SIGNO , 2014 .

[22]  J. L. Usó-Doménech,et al.  Reality, Systems and Impure Systems , 2014 .

[23]  Josué Antonio Nescolarde-Selva,et al.  Semiotic Vision of Ideologies , 2014 .

[24]  Hartry Field,et al.  Realism, Mathematics, and Modality , 1989 .

[25]  Noam Chomsky,et al.  Aspects of the Theory of Syntax , 1970 .

[26]  Daniel Berend,et al.  An introduction to alysidal algebra (I) , 2012, Kybernetes.

[27]  Josep Lluis Usó-Domènech,et al.  EPISTEMOLOGICAL AND MATHEMATICAL CONSIDERATIONS ON THE STRUCTURE OF H-SEMIOTIC SYSTEMS , 2002, Cybern. Syst..

[28]  Carlos Gershenson,et al.  Complexity and information: Measuring emergence, self-organization, and homeostasis at multiple scales , 2012, Complex..

[29]  Penelope Maddy,et al.  Realism in mathematics , 1991 .

[30]  J. L. Usó-Doménech,et al.  Linguistic Knowledge of Reality: A Metaphysical Impossibility? , 2015 .