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Examples
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We label this stronger theory EM, for Extensional Mereology, the attribute ˜extensional™ being justified precisely by the exclusion of countermodels that, like the one in Figure 3, contain distinct objects with the same proper parts.
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Mereology, assumes protothetic and ontology as logically prior theories, and has the term “part of” as its sole primitive concept.
Lvov-Warsaw School Wole&324;ski, Jan 2009
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Mereology is supposed to be ontologically neutral.
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We shall label the resulting mereological theory MM, for Minimal Mereology.
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Mereology occupies a prominent role also in the writings of medieval ontologists and scholastic philosophers such as Garland the Computist, Peter Abelard,
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PrzeglÄ d Filozoficzny, and, eschewing mathematical symbolism, was dedicated to an up-to-date exposition of Mereology.
StanisÅaw LeÅniewski Simons, Peter 2007
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Both Mereology and Ontology presuppose a deeper logical layer, comprising a propositional logic of connectives like ˜if™,
StanisÅaw LeÅniewski Simons, Peter 2007
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With Protothetic launched, LeÅniewski could now look back on his system of foundations and see that it consisted of a hierarchy of three systems, developed in reverse order: Protothetic, introducing connectives, quantifiers and higher functions; Ontology, introducing the new category of names, with the new primitive ˜is™, and Mereology, based on a primitive mereological functor such as
StanisÅaw LeÅniewski Simons, Peter 2007
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It was in Mereology, LeÅniewski's oldest system, that there were the most varied developments.
StanisÅaw LeÅniewski Simons, Peter 2007
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LeÅniewski later dropped the term ˜mnogoÅÄ™ and instead invented the term ˜Mereology™, meaning ˜theory of parts™, an irregular coinage from the Greek μεÏÎÏ, part, in order to differentiate his view from what he ironically called
StanisÅaw LeÅniewski Simons, Peter 2007
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