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Logic and Logical Philosophy

Extension and Self-Connection
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  3. Vol. 30 No. 3 (2021): September /
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Extension and Self-Connection

Authors

  • Ben Blumson National University of Singapore https://orcid.org/0000-0002-2469-3150
  • Manikaran Singh

DOI:

https://doi.org/10.12775/LLP.2021.008

Keywords

mereology, mereotopology, extensionalism, universalism, connection, self-connection

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.

References

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Logic and Logical Philosophy

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Published

2021-05-18

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1.
BLUMSON, Ben & SINGH, Manikaran. Extension and Self-Connection. Logic and Logical Philosophy [online]. 18 May 2021, T. 30, nr 3, s. 435–459. [accessed 31.3.2023]. DOI 10.12775/LLP.2021.008.
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