Abstract
Impure systems contain Objects and Subjects: Subjects are human beings. We can distinguish a person as an observer (subjectively outside the system) and that by definition is the Subject himself, and part of the system. In this case he acquires the category of object. Objects (relative beings) are significances, which are the consequence of perceptual beliefs on the part of the Subject about material or energetic objects (absolute beings) with certain characteristics.The IS (Impure System) approach is as follows: Objects are perceptual significances (relative beings) of material or energetic objects (absolute beings). The set of these objects will form an impure set of the first order. The existing relations between these relative objects will be of two classes: transactions of matter and/or energy and inferential relations. Transactions can have alethic modality: necessity, possibility, impossibility and contingency. Ontic existence of possibility entails that inferential relations have Deontic modality: obligation, permission, prohibition, faculty and analogy. We distinguished between theorems (natural laws) and norms (ethical, legislative and customary rules of conduct).
Similar content being viewed by others
References
Agazzi, E. (1992). Some philosophical implications of Gödel’s theorem. In D. Miévill (Ed.), Kurt Gödel Actes du Colloque, Neuchâtel, 13–14 juin 1991 (vol. 7. 129–159). Travaux de Logique.
Benacerraf, P. (1973). Mathematical truth. Journal of Philosophy, 19, 661–679.
Booth, R. (November 2002). Pre-ents, ents and generalised rational consequence. A thesis submitted to the University of Manchester for the degree of Doctor of Philosophy in the Faculty of Science.
Borhek, J. T., & Curtis, R. F. (1983). A sociology of belief. Malabar, FL: Robert E. Krieger Publishing Company.
Chandler, D. (1998). Semiótica para principiantes. Ediciones Abya-Yala. Quito. Ecuador (in Spanish).
de Beaugrande, R. A., & Dressler, W. U. (1997). 1981. Einführung in die Textlinguistik. Spanihs Trad., Introducción a la lingüística del texto. Barcelona: Ariel.
de Saussure, F. (1984). Curso de lingüística general. Barcelona: Planeta (in Spanish).
Eco, U. (1976). El Signo (p. 193). Barcelona: Editorial Labor (in Spanish).
Field, H. (1980). Science without numbers: A defense of nomilanism. Pricenton: Princeton University Press.
Field, H. (1989). Realism, mathematics and modality. Oxford: Blackwell.
Gershenson, C. (2001). Comments to neutrosophy. In Proceedings of the first international conference on neutrosophy, neutrosophic logic, set, probability and statistics, University of New Mexico, Gallup, December 1–3.
Halpern, M. (1985). A guide to modal logics of knowledge and belief. In Proceedings of the IJCAI (pp. 480–496).
LeShan, L. (1942). Time Orientation and Social Class. J. Abn. Soc. Psychol, 47, 589–592.
LeShan, L., & Margenau, H. (1982). Einstein’s space and Van Gogh’s sky. New York: MacMillan.
Lloret-Climent, M., Usó-Doménech, J. L., Patten, B. C., & Vives-Maciá, F. (2002). Causality in H-semiotic systems of ecosystems. routes and tours. International Journal of General Systems, 31(2), 119–130.
Lloret-Climent, M., Villacampa, Y. and Usó-Doménech, J. L. (1998). System-Linkage: Structural functions and hierarchies. Cybernetics and Systems: An International Journal, 29, 29–39.
Maccallum, D. (2000). Conclusive reasons that we perceive sets. International Studies in the Philosophy Of Science, 14(1), 26–42.
Maddy, P. (1990). Realism in mathematics. Oxford: Clarendon Press.
Maddy, P. (1996). Set theoretic naturalism. Journal of Symbolic Logic, 61, 490–514.
Meinong, A. (1960[1904]). Über Gegenstandtheorie. Barth: Leipzig. J.A. (in German).
Nescolarde-Selva, J. (2010). A systemic vision of belief systems and ideologies. Doctoral Thesis, Universidad de Alicante, Alicante, Spain.
Nescolarde-Selva, J., & Usó-Domènech, J. L. (2012). An introduction to alysidal algebra (III). Kybernetes, 41(10), 1638–1649.
Nescolarde-Selva, J., & Usó-Domènech, J. L. (2013). Semiotic vision of ideologies. Foundations of Science. doi:10.1007/s10699-013-9329-8.
Nescolarde-Selva, J., Vives-Macía, F., Usó-Domènech, J. L., & Berend, D. (2012a). An introduction to alysidal algebra (I). Kybernetes, 41(1/2), 21–34.
Nescolarde-Selva, J., Vives-Macía, F., Usó-Domènech, J. L., & Berend, D. (2012b). An introduction to alysidal algebra (II). Kybernetes, 41(5/6), 780–793.
Patten, B. C. (1978). Systems approach to the concept of Environment. Ohio Journal of Science, 78(4), 206–222.
Patten, B. C. (1982). Environs: Relativistic elementary particles for ecology. The American Naturalist, 119, 179–219.
Peirce, C. S. (1958). In C. Hartshorne, P. Weiss, & A. W. Burks (Eds.), Collected papers of Charles Sanders Peirce (vols. 1–8, pp. 1931–1958). Cambridge, MA: Harvard University Press.
Quine, W. V. O. (1969). Epistemology naturalised. In Ontological relativity. New York: Columbia University Press.
Sastre-Vazquez, P., Usó-Domènech, J. L., Villacampa, Y., Mateu, J., & Salvador, P. (1999). Statistical linguistic laws in ecological models. Cybernetics and Systems: An International Journal, 30(8), 697–724.
Usó-Domènech, J. L., Lloret-Climent, M., Vives-Maciá, F., Patten, B. C., & Sastre-Vazquez, P. (2002). Epistemological and mathematical considerations on the structure of H-semiotic systems. Cybernetics and Systems: An International Journal, 33(5), 507–535.
Usó-Domènech, J. L., & Mateu, J. (2004). Teoría del Medio Ambiente: Modelización. Publicaciones de la Universitat Jaume I. Colección Medio Ambiente, Vol. 3 (in Spanish).
Usó-Domènech, J. L., Mateu, J., & Patten, B. C. (2002). Mathematical approach to the concept of environment: Open systems and processes. International Journal of General Systems, 31(3), 213–223.
Usó-Domènech, J. L., & Nescolarde-Selva, J. (2012). Mathematics and semiotical theory of ideological systems. Saarbruken: Lambert Academic Publishing.
Usó-Domènech, J. L., Stübing, G., López Vila, J., & Sastre Vázquez, P. (2002). Comportamiento de Arbustos Pirófitos en el Paraje Natural Desert de les Palmes. (Prologue by B.C. Patten) Edita Fundación Dávalos-Fletcher. Castellón de la Plana (in Spanish).
Usó-Domènech, J. L., & Villacampa, Y. (2001). Semantics of complex structural systems: Presentation and representation. A synchronic vision of language L(MT). International Journal of General Systems, 30(4), 479–501.
Villacampa, Y., Usó-Domènech, J. L., Mateu, J., Vives, F., & Sastre, P. (1999). Generative and recognoscitive grammars in ecological models. Ecological Modelling, 117, 315–332.
Villacampa-Esteve, Y., Usó-Domènech, J. L., Castro-Lopez-M, A., & Sastre-Vazquez, P. (1999). A text theory of ecological models. Cybernetics and Systems: An International Journal, 30(7), 587–607.
Wittgenstein, L. (1972). Tractatus logico-philosophicus. London: Routledge & Kegan Paul.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nescolarde-Selva, J., Usó-Doménech, J.L. Reality, Systems and Impure Systems. Found Sci 19, 289–306 (2014). https://doi.org/10.1007/s10699-013-9337-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10699-013-9337-8