TY - JOUR AU - Blumson, Ben AU - Singh, Manikaran PY - 2021/05/18 Y2 - 2024/03/28 TI - Extension and Self-Connection JF - Logic and Logical Philosophy JA - LLP VL - 30 IS - 3 SE - Articles DO - 10.12775/LLP.2021.008 UR - https://apcz.umk.pl/LLP/article/view/LLP.2021.008 SP - 435-459 AB - <p class="p1">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.</p> ER -