I propose a new theory of mereology based on a mereological reflection principle. Reflective mereology has natural fusion principles but also refutes certain principles of classical mereology such as Universal Fusion and Fusion Uniqueness. Moreover, reflective mereology avoids Uzquiano’s cardinality problem–the problem that classical mereology tends to clash with set theory when they both quantify over everything. In particular, assuming large cardinals, I construct a model of reflective mereology and second-order ZFCU with Limitation of Size. In the model, classical mereology holds when the quantifiers are restricted to the urelements.

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反射分体学

我提出了一种基于分体反射原理的分体学新理论。反射分体学具有自然融合原理，但也驳斥了经典分体学的某些原理，如普遍融合和融合唯一性。此外，反射分体学避免了 Uzquiano 的基数问题——经典分体学在对所有事物进行量化时往往与集合论发生冲突的问题。特别是，假设大基数，我构建了反射分体学模型和具有大小限制的二阶 ZFCU。在该模型中，当量词仅限于 urelements 时，经典分体学成立。