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  1.  34
    A Theorical Point of View of Reality, Perception, and Language.Josué Antonio Nescolarde-Selva, Josep-Lluis Usó-Doménech & Hugh Gash - 2014 - Complexity 20 (1):27-37.
  2.  5
    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.
  3.  19
    Fixed or Probable Ideas?Hugh Gash - 2014 - Foundations of Science 19 (3):283-284.
    This commentary on Nescolarde-Selva and Usó-Doménech (Found Sci, 2013) raises questions about the dynamic versus static nature of the model proposed, and in addition asks whether the model might be used to explain ethical flexibility and rigidity.
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  4.  16
    Constructivism, Truth and Reality.Hugh Gash - 2014 - Foundations of Science 19 (3):307-309.
    This commentary to Nescolarde-Selva and Usó-Doménech’s (Reality, systems and impure systems. Foundations of Science 2013) links ideas in their paper to radical constructivism and raises two questions. (1) Would it be helpful to substitute the constructivist notion of viability for the traditional notion of truth with its connotations of relating language and reality? (2) Is the link made to issues in ontological philosophy important since the implicit constructivist epistemology of the paper considers mathematical ideas are just as real as ideas (...)
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  5.  3
    Author’s Response: Sustainability, Populism, and Constructivism.Hugh Gash - 2020 - Constructivist Foundations 16 (1):032-035.
    : In my response, I focus on themes that recur in the commentaries: Radical constructivism’s neutrality and the need for and value of sustainability; education and sustainability….
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  6.  4
    Constructivism, Fast Thinking, Heuristics and Sustainable Development.Hugh Gash - 2020 - Constructivist Foundations 16 (1):001-012.
    Context: Radical constructivism prioritises the processes by which people make sense of their experience and people construct different worlds based on their individual experiences. Problem: It ….
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  7.  1
    Distancing and Emerging Epiphanies.Hugh Gash - 2021 - Constructivist Foundations 16 (3):258-260.
    The experience of fragility is part of the uncertainty surrounding the Covid epidemic. I see Depraz’s experience as involving two types of cognitive processes, one lighter than the other. The ….
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  8.  19
    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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  9.  19
    Mathematical Perspectives on Liar Paradoxes.José-Luis Usó-Doménech, Josué-Antonio Nescolarde-Selva, Lorena Segura-Abad, Kristian Alonso-Stenberg & Hugh Gash - 2021 - Logica Universalis 15 (3):251-269.
    The liar paradox is a famous and ancient paradox related to logic and philosophy. It shows it is perfectly possible to construct sentences that are correct grammatically and semantically but that cannot be true or false in the traditional sense. In this paper the authors show four approaches to interpreting paradoxes that illustrate the influence of: the levels of language, their belonging to indeterminate compatible propositions or indeterminate propositions, being based on universal antinomy and the theory of dialetheism.
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  10.  10
    Ontological Argument and Infinity in Spinoza’s Thought.J. L. Usó-Doménech, J. A. Nescolarde-Selva & Hugh Gash - 2020 - Foundations of Science 25 (2):385-400.
    If the words in Spinoza’s Ethics are considered as symbols, then certain words in the definitions of the Ethics can be replaced with symbols from set theory and we can reexamine Spinoza’s first definitions within a logical–mathematical frame. The authors believe that, some aspects of Spinoza’s work can be explained and illustrated through mathematics. A semantic relation between the definitions of the philosopher and set theory is presented. It is explained each chosen symbol. The ontological argument is developed through modal (...)
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