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  1. Dialectical Hegelian Logic and Physical Quantity and Quality.J. L. Usó-Doménech, J. A. Nescolarde-Selva & H. Gash - 2022 - Foundations of Science 27 (2):555-572.
    In Ontology, quality determines beings. The quality-quantity bipolarity reveals that a conceptual logical comprehension that can include negation must be a dialectical logic. Quality is a precise characteristic of something capable of augmentation or diminution while remaining identical through differences or quantitative changes. Thus, quality and in opposition quantity are inextricably linked, giving definition to each other, so constituting a logical bipolarity. The theory is that a magnitude G is never separated from secondary qualities α and β, and therefore, a (...)
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  • Systems and Beliefs.Hugh Gash - 2016 - Foundations of Science 21 (1):177-187.
    Systems thinking provides insights into how ideas interact and change, and constructivism is an example of this type of systemic approach. In the 1970s constructivism emphasised the development of mathematical and scientific ideas in children. Recently constructivist ideas are applied much more generally. Here I use this approach to consider beliefs and their role in conflicts and the conditions needed for reconciliation. If we look at Reality in terms of how we construct it as a human cognitive process, we recognise (...)
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  • What are Belief Systems?J. L. Usó-Doménech & J. Nescolarde-Selva - 2015 - Foundations of Science 21 (1):147-152.
    In beliefs we live, we move and we are [...] the beliefs constitute the base of our life, the land on which we live [...] All our conduct, including the intellectual life, depends on the system of our authentic beliefs. In them [...] lies latent, as implications of whatever specifically we do or we think [...] the man, at heart, is believing or, which is equal, the deepest stratum of our life, the spirit that maintains and carries all the others, (...)
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  • Explanation versus Understanding: On Two Roles of Dynamical Systems Theory in Extended Cognition Research.Katarzyna Kuś & Krzysztof Wójtowicz - forthcoming - Foundations of Science:1-26.
    It is widely believed that mathematics carries a substantial part of the explanatory burden in science. However, mathematics can also play important heuristic roles of a different kind, being a source of new ideas and approaches, allowing us to build toy models, enhancing expressive power and providing fruitful conceptualizations. In this paper, we focus on the application of dynamical systems theory (DST) within the extended cognition (EC) field of cognitive science, considering this case study to be a good illustration of (...)
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  • Belief operationalization for empirical research in psychological sciences.Eduardo Camina, Javier Bernacer & Francisco Guell - 2020 - Foundations of Science 26 (2):325-340.
    The most common definition of belief is taken from analytical philosophy, which understands it as a proposition that is considered as true. Such a broad definition is ambiguous for some fields of empirical research, like psychology, which deals with the mental state of the believer when holding the belief. This article aims to reach an operationalization of beliefs to pinpoint their distinctive features with respect to similar concepts. We summarize the most influential interpretations of belief in psychology and psychiatry, which (...)
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  • “Unintended effects”: A theorem for complex systems.J. L. Usó-Doménech, J. Nescolarde-Selva & M. Lloret-Climent - 2016 - Complexity 21 (2):342-354.
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  • Mathematics, Philosophical and Semantic Considerations on Infinity : Dialectical Vision.José-Luis Usó-Doménech, Josué Antonio Nescolarde-Selva, Mónica Belmonte-Requena & L. Segura-Abad - 2017 - Foundations of Science 22 (3):655-674.
    Human language has the characteristic of being open and in some cases polysemic. The word “infinite” is used often in common speech and more frequently in literary language, but rarely with its precise meaning. In this way the concepts can be used in a vague way but an argument can still be structured so that the central idea is understood and is shared with to the partners. At the same time no precise definition is given to the concepts used and (...)
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  • Revealing the Face of Isis.J. L. Usó-Doménech & J. Nescolarde-Selva - 2014 - Foundations of Science 19 (3):311-318.
    This reply to Gash’s (Found Sci 2014) commentary on Nescolarde-Selva and Usó-Doménech (Found Sci 2014b) answers the questions raised and at the same time opens up new questions.
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  • Mathematical Logic of Notions and Concepts.J. L. Usó-Doménech & J. A. Nescolarde-Selva - 2019 - Foundations of Science 24 (4):641-655.
    In this paper the authors develop a logic of concepts within a mathematical linguistic theory. In the set of concepts defined in a belief system, the order relationship and Boolean algebra of the concepts are considered. This study is designed to obtain a tool, which is the metatheoretical base of this type of theory.
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  • Ideological Complex Systems: Mathematical Theory.Josué Antonio Nescolarde-Selva, José Luis Usó-Doménech & Miguel Lloret-Climent - 2016 - Complexity 21 (2):47-65.
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  • Ideological systems and its validation: a neutrosophic approach.Josue Nescolarde-Selva & Jose Luis Uso-Domenech - 2015 - Neutrosophic Sets and Systems 9:31-43.
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  • Textual Theory and Complex Belief Systems: Topological Theory.J. Nescolarde-Selva & J. L. Usó-Doménech - 2016 - Foundations of Science 21 (1):153-175.
    In order to establish patterns of materialization of the beliefs we are going to consider that these have defined mathematical structures. It will allow us to understand better processes of the textual, architectonic, normative, educative, etc., materialization of an ideology. The materialization is the conversion by means of certain mathematical correspondences, of an abstract set whose elements are beliefs or ideas, in an impure set whose elements are material or energetic. Text is a materialization of ideology and it is any (...)
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  • Myth, language, and complex ideologies.Josué Antonio Nescolarde-Selva & Josep-Lluis Usó-Doménech - 2014 - Complexity 20 (2):63-81.
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  • A logic-mathematical point of view of the truth: Reality, perception, and language.Josué Antonio Nescolarde-Selva, Josep-Lluis Usó-Doménech & Hugh Gash - 2015 - Complexity 20 (4):58-67.
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