4 found
Order:
  1.  43
    Quasi-set theory: a formal approach to a quantum ontology of properties.Federico Holik, Juan Pablo Jorge, Décio Krause & Olimpia Lombardi - 2022 - Synthese 200 (5):1-26.
    In previous works, an ontology of properties for quantum mechanics has been proposed, according to which quantum systems are bundles of properties with no principle of individuality. The aim of the present article is to show that, since quasi-set theory is particularly suited for dealing with aggregates of items that do not belong to the traditional category of individual, it supplies an adequate meta-language to speak of the proposed ontology of properties and its structure.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  2.  61
    An Approach to QST-based Nmatrices Semantics.Juan Pablo Jorge, Federico Holik & Décio Krause - 2023 - Principia: An International Journal of Epistemology 27 (3):539-607.
    This paper introduces the theory QST of quasets as a formal basis for the Nmatrices. The main aim is to construct a system of Nmatrices by substituting standard sets by quasets. Since QST is a conservative extension of ZFA (the Zermelo-Fraenkel set theory with Atoms), it is possible to obtain generalized Nmatrices (Q-Nmatrices). Since the original formulation of QST is not completely adequate for the developments we advance here, some possible amendments to the theory are also considered. One of the (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  3.  67
    Lógica cuántica, Nmatrices y adecuación, I (3rd edition).Juan Pablo Jorge & Federico Holik - 2022 - Teorema: International Journal of Philosophy 41 (3):65-88.
    In this paper we discuss the notions of adequacy and truth functionality in quantum logic from the point of view of a non-deterministic semantics. We give a characterization of the degree of non-functionality which is compatible with the propositional structure of quantum theory, showing that having truth-functional connectives, together with some assumptions regarding the relation of logical consequence, commits us to the adequacy of the interpretation sets of these connectives. An advantage of our proof is that it is independent of (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  4.  31
    Open Problems in the Development of a Quantum Mereology.Federico Holik & Juan Pablo Jorge - 2023 - In Jonas R. B. Arenhart & Raoni W. Arroyo (eds.), Non-Reflexive Logics, Non-Individuals, and the Philosophy of Quantum Mechanics: Essays in Honour of the Philosophy of Décio Krause. Springer Verlag. pp. 157-176.
    Mereology deals with the study of the relations between wholes and parts. In this work we will discuss different developments and open problems related to the formulation of a quantum mereology. In particular, we will discuss different advances in the development of formal systems aimed to describe the whole-parts relationship in the context of quantum theory.
    Direct download  
     
    Export citation  
     
    Bookmark