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Mereology then and now

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Gruszczyński R., Varzi A. C.

Logic and Logical Philosophy

2015

vol. 24

issue 4 Mereology and Beyond

409-427

This paper offers a critical reconstruction of the motivations that led to the development of mereology as we know it today, along with a brief description of some questions that define current research in the field.

Abelian mereology

75%

Cotnoir A. J.

Logic and Logical Philosophy

2015

vol. 24

issue 4 Mereology and Beyond

429-447

In classical extensional mereology, composition is idempotent: if x is part of y, then the sum of x and y is identical to y. In this paper, I provide a systematic and coherent formal mereology for which idempotence fails. I first discuss a number of purported counterexamples to idempotence that have been put forward in the literature. I then discuss two recent attempts at sketching non-idempotent formal mereology due to Karen Bennett and Kit Fine. I argue that these attempts are incomplete, however, and there are many open issues left unresolved. I then construct a class of models of a non-idempotent mereology using multiset theory, consider their algebraic structure, and show how these models can shed light on the open issues left from the previous approaches.

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2 Logic and Logical Philosophy

2 2015

1 Cotnoir A. J.

1 Gruszczyński R.

1 Varzi A. C.

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Mereology then and now

Abelian mereology