Fusions in Intuitionistic Mereology

Journal of Philosophical Logic 53 (6):1463-1494 (2024)
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Abstract

This paper investigates two intuitionistic mereological systems based on Tarski’s axiomatisation of general mereology. These systems use two intuitionistically non-equivalent formalisations of the notion of fusion. I study extensionality and supplementation properties as well as some variants of these systems, and defend parthood as a suitable primitive notion for intuitionistic mereology if working with Tarski’s axiomatisation. Furthermore, I arrive at an equi-interpretability result for one of the atomistic variants with intuitionistic plural logic. I discuss to what extent these results support the philosophical pertinence of the mereological systems under investigation as intuitionistic theories of parthood, thereby reacting to a conceptual challenge that we are confronted with when engaging in intuitionistic mereology.

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References found in this work

Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
The least discerning and most promiscuous truthmaker.Jonathan Schaffer - 2010 - Philosophical Quarterly 60 (239):307 - 324.
Logical Pluralism.J. C. Beall & Greg Restall - 2005 - Oxford, GB: Oxford University Press. Edited by Greg Restall.
Nominalist platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
Towards a Theory of Part.Kit Fine - 2010 - Journal of Philosophy 107 (11):559-589.

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