Extension and Self-Connection

Logic and Logical Philosophy 30 (3):435-59 (2021)
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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.

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Ben Blumson
National University of Singapore

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References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
Parts: A Study in Ontology.Peter M. Simons - 1987 - Oxford, England: Clarendon Press.
Process and reality: an essay in cosmology.Alfred North Whitehead - 1929 - New York: Free Press. Edited by David Ray Griffin & Donald W. Sherburne.

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