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Updating Classical Mereology

In C. Glymour, D. Westerstahl & W. Wang (eds.), Logic, Methodology and Philosophy of Science. Proceedings of the 13th International Congress. King’s College (2009)

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  1. A metaphysical foundation for mathematical philosophy.Wójtowicz Krzysztof & Skowron Bartłomiej - 2022 - Synthese 200 (4):1-28.
    Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern is that even if formal tools serve to clarify reasoning, they themselves contribute nothing new or relevant to philosophy. We defend mathematical philosophy against such concerns here by appealing to its metaphysical foundations. Our thesis is that mathematical philosophy can be founded on the phenomenological theory of ideas as developed by Roman Ingarden. From this platonist perspective, the “unreasonable effectiveness of mathematics in (...)
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  • Teoria kategorii i niektóre jej logiczne aspekty (Category theory and some of its logical aspects).Mariusz Stopa - 2018 - Philosophical Problems in Science 64:7-58.
    [The paper is in Polish, an English abstract is given only for information.] This article is intended for philosophers and logicians as a short partial introduction to category theory and its peculiar connection with logic. First, we consider CT itself. We give a brief insight into its history, introduce some basic definitions and present examples. In the second part, we focus on categorical topos semantics for propositional logic. We give some properties of logic in toposes, which, in general, is an (...)
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  • On the Mereological Structure of Complex States of Affairs.Thomas Mormann - 2012 - Synthese 187 (2):403-418.
    The aim of this paper is to elucidate the mereological structure of complex states of affairs without relying on the problematic notion of structural universals. For this task tools from graph theory, lattice theory, and the theory of relational systems are employed. Our starting point is the mereology of similarity structures. Since similarity structures are structured sets, their mereology can be considered as a generalization of the mereology of sets..
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