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Browsing Wydział Filozofii i Nauk Społecznych / Faculty of Philosophy and Social Sciences by Author "Gruszczyński, Rafał"

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Browsing Wydział Filozofii i Nauk Społecznych / Faculty of Philosophy and Social Sciences by Author "Gruszczyński, Rafał"

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  • From Contact Relations to Modal Operators, and Back 
    Gruszczyński, Rafał; Menchon, Maria Paula (Springer, 2023-04-06)
    One of the standard axioms for Boolean contact algebras says that if a region x is in contact with the join of y and z , then x is in contact with at least one of the two regions. Our intention is to examine a stronger ...
  • Grzegorczyk and Whitehead Points: The Story Continues 
    Gruszczyński, Rafał; Martinez, Santiago Jockwich (Springer, 2024-02-16)
    The paper is devoted to the analysis of two seminal definitions of points within the region-based framework: one by Whitehead (1929) and the other by Grzegorczyk (Synthese, 12(2-3), 228-235 1960). Relying on the work of ...
  • How to define a mereological (collective) set 
    Gruszczyński, Rafał; Pietruszczak, Andrzej (2010-12-30)
    As it is indicated in the title, this paper is devoted to the problem of defining mereological (collective) sets. Starting from basic properties of sets in mathematics and differences between them and so called conglomerates ...
  • Mereology then and now 
    Gruszczyński, Rafał; Varzi, Achille C. (2015-12-12)
    This paper offers a critical reconstruction of the motivations that led to the development of mereology as we know it today, along with a brief description of some questions that define current research in the field.
  • Parts of Falling Objects: Galileo’s Thought Experiment in Mereological Setting 
    Gruszczyński, Rafał (Springer, 2020-05-29)
    This paper aims to formalize Galileo’s argument (and its variations) against the Aristotelian view that the weight of free-falling bodies influences their speed. I obtain this via the application of concepts of parthood ...
  • Space, points and mereology. On foundations of point-free Euclidean geometry 
    Gruszczyński, Rafał; Pietruszczak, Andrzej (2009-11-30)
    This article is devoted to the problem of ontological foundations of three-dimensional Euclidean geometry. Starting from Bertrand Russell’s intuitions concerning the sensual world we try to show that it is possible to build ...
  • The Sum Relation as a Primitive Concept of Mereology 
    Gruszczyński, Rafał; Li, Dazhu (Springer, 2024-07-01)
    Mereology in its formal guise is usually couched in a language whose signature contains only one primitive binary predicate symbol representing the part of relation, either the proper or improper one. In this paper, we put ...

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