Epistemological and Mathematical Considerations on the Structure of H-Semiotic Systems

Usó-Doménech, J. L.; Lloret-Climent, Miguel; Vives-Macià, Francisco; Patten, Bernard C.; Sastre-Vazquez, P.

doi:10.1080/01969720290040740

Cited by 15 publications

(8 citation statements)

References 14 publications

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“…The concept of alysidal (from the Greek αλυσιδα: chain) set is essential in the approach of DIS ‐ Deontical Impure Systems, in order to be able to formulate a theory of connection of systems, inputs from H′ environment and outputs to H″ environment (Lloret‐Climent et al , 2002; Patten, 1978, 1982; Usó‐Domènech et al , 2002a, b; Usó‐Domènech and Mateu, 2004).…”

Section: Definition 17mentioning

confidence: 99%

An introduction to alysidal algebra (I)

et al. 2012

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PurposeThe purpose of this paper is to provide an introduction to alysidal algebra. Deontical impure systems are systems whose object set is formed by an s‐impure set, whose elements are perceptuales significances (relative beings) of material and/or energetic objects (absolute beings) and whose relational set is freeways of relations, formed by sheaves of relations going in two‐way directions. Objects and freeways form chains.Design/methodology/approachThe paper looks at the mathematical and logical development of human society structure.FindingsExistence of relations with positive imperative modality (obligation) would constitute the skeleton of the system. Negative imperative modality (prohibition) would be the immunological system of protection of the system. Modality permission the muscular system, that gives the necessary flexibility to the system, in as much to the modality faculty its neurocerebral system, because it allows him to make decisions. Transactions of energy, money, merchandise, population, etc. would be the equivalent one to the sanguineous system. These economic transactions and inferential relations, depend, as well, on the existence of a legislative body with their obligations, prohibitions and permissions that regulate them.Originality/valueThe concepts of alysidal set are introduced, whose elements are chains and coupling function between alysidal sets. Environment is formed as well by different DIS. That is to say, by an alysidal set whose elements are simultaneously systems. Specific interchanges (stimulus‐response) leave certain nodes and act on certain nodes of the alysidal sets (stimulus environment‐DIS‐response environment). The paper defines a special coupling function, denominated gnorpsic function, that can be used for algebraic operations between alysidal sets.

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Section: Definition 17mentioning

confidence: 99%

An introduction to alysidal algebra (I)

et al. 2012

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“…In this section, we will outline causal link theory following Lloret-Climent et al (1998, 2002), Patten et al (1976) and Usó-Domènech et al (2002a, 2002b, 2014, 2016).…”

Section: Causal Link and Causal Chainmentioning

confidence: 99%

Causality in complex systems

Usó-Doménech¹,

Nescolarde-Selva

Lloret-Climent

2017

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Purpose The purpose of this paper is the study of the causal relationship. The concept called “naive” causality can be stated more generally as the belief (or knowledge) that results follow actions, and that these results are not random, but are consistently linked with causes. The authors have thus formed a very general and precarious concept of causality, but one that appropriately reflects the meaning of causality at the level of common sense. Design/methodology/approach Mathematical and logical development of the causality in complex systems. Findings There are three aspects of rationality that give the human mind a unique vision of reality: quantification: reduction of phenomena to quantitative terms; cause and effect: causal relationship, which allows predicting; and the necessary and valid use of (deterministic) mechanical models. This work is dedicated to the second aspect, that of causality, but at present leaves aside the discussion of possibility-necessity, proposing a modification to philosophical synthesis of causality specified by Bunge (1959), with contributions made by Patten et al. (1976) and LeShan and Margenau (1982). Originality/value Causality is an epistemological category, because it concerns the experience and knowledge of the human subject, without being necessarily a property of reality.

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“…In the same way as in the impure system, a Subject S could perceive it as closed or open, according to whether or not he ignores the existence of an environment H-theoretically external to it. We suppose the existence of both environments H 0 and H 00 [16][17][18][19][20][21][22][23][24][25][26][27]. Nevertheless, although a subject S conceives how something can be chaotic, and anarchic they also are structures.…”

Section: Notementioning

confidence: 99%

“Unintended effects”: A theorem for complex systems

2014

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Unintended effects are well known to economists and sociologists and their consequences may be devastating. The main objective of this article is to formulate a mathematical theorem, based on G€ odel's famous incompleteness theorem, in which it is shown, that from the moment deontical modalities (prohibition, obligation, permission, and faculty) are introduced into the social system, responses are allowed by the system that are not produced, however, prohibited responses or unintended effects may occur.

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Epistemological and Mathematical Considerations on the Structure of H-Semiotic Systems

Cited by 15 publications

References 14 publications

An introduction to alysidal algebra (I)

An introduction to alysidal algebra (I)

Causality in complex systems

“Unintended effects”: A theorem for complex systems

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