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Title: Extension and Self-Connection
Authors: Blumson, Ben Richard Kelsey 
Singh, Manikaran
Issue Date: 18-May-2021
Publisher: Nicolaus Copernicus University
Citation: Blumson, Ben Richard Kelsey, Singh, Manikaran (2021-05-18). Extension and Self-Connection. Logic and Logical Philosophy. ScholarBank@NUS Repository.
Abstract: If two self-connected individuals are connected, it follows in classical extensional mereotopology that the sum of those individuals is self-connected too. Since mainland Europe and mainland Asia, for example, are both self-connected and connected to each other, mainland Eurasia is also self-connected. In contrast, in non-extensional mereotopologies, two individuals may have more than one sum, in which case it does not follow from their being self-connected and connected that the sum of those individuals is self-connected too. Nevertheless, one would still expect it to follow that a sum of connected self-connected individuals is self-connected too. In this paper, we present some surprising countermodels which show that this conjecture is incorrect.
Source Title: Logic and Logical Philosophy
ISSN: 14253305
DOI: 10.12775/LLP.2021.008
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