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Joseph Kouneiher

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  •  18
    The Mathematical Descriptions of Truth and Change
    with Newton da Costa
    Foundations of Science 25 (3): 647-670. 2020.
    Our aim in this paper is to replace the old concept of truth in mathematics, based on the Set Structure provided with idea of true and false characterized by the presence of a characteric function \, by a mathematical structures founded on the idea of Topos, the triple structure \\}\) and the notion of Gradual Truth or Steps from the truth. Our motivations is to understand the mathematical structures underlying the emergence’s mechanism and phenomena. We think that this approach could be useful …Read more
    Science, Logic, and Mathematics
  •  26
    Topological Foundations of Physics
    In Wuppuluri Shyam & Francisco Antonio Dorio (eds.), The Map and the Territory: Exploring the Foundations of Science, Thought and Reality, Springer. pp. 245-271. 2018.
    Topology and geometry have played an important role in our theoretical understanding of quantum field theories. One of the most interesting applications of topology has been the quantization of certain coupling constants. In this paper, we present a general framework for understanding the quantization itself in the light of group cohomology. This analysis of the cohomological aspects of physics leads to reconsider the very foundations of mechanics in a new light.
  •  51
    Propositional manifolds and logical cohomology
    with A. P. M. Balan
    Synthese 125 (1-2): 147-154. 2000.
    In this note, we outline a definition of propositional manifold and logical cohomology. An application is also considered for mathematics: two Boole algebras of mathematical propositions are non equivalent if their two cohomologies are not isomorphic.
    Philosophy of Linguistics