Mereology and Identity

Carrara, Massimiliano; Lando, Giorgio

doi:10.1007/s11229-020-02592-5

Cited by 2 publications

(2 citation statements)

References 33 publications

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“…Let us then consider two ways in which the relation of being the same portion of reality can be independently characterised: in terms of atomic parts and in terms of spatiotemporal location. Both specifications are hinted at in the literature about CAI in which the relation is commonly discussed, but we should keep in mind that in order to serve its current purpose the relation of 5 Wallace (2011), Cotnoir (2014), and Carrara and Lando (2021) are introductions to the debate about CAI.…”

Section: Plural Abstraction Of Mereological Sumsmentioning

confidence: 99%

Thin Mereological Sums, Abstraction, and Interpretational Modalities

Lando

2022

Theoria

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Some tools introduced by Linnebo to show that mathematical entities are thin objects can also be applied to nonmathematical entities, which have been thought to be thin as well for a variety of reasons. In this paper, I discuss some difficulties and opportunities concerning the application of abstraction and interpretational modalities to mereological sums. In particular, I show that on one hand some prima facie attractive candidates for the role of an explanatory plural abstraction principle for mereological sums (in terms of pluralities of summed entities) are not really explanatory; on the other hand, singular abstraction principles (in terms of single summed entities) are materially inadequate. Nonetheless, explanatory criteria of identity and conditions of existence for mereological sums are provided by classical extensional mereology independent of abstraction principles. Thus, given classical extensional mereology, the reasons why, according to Linnebo, mathematical abstracted entities are thin also hold for mereological sums. Finally, I contend that interpretational modalities can be used to characterise the process by which a subject adds sums of previously admitted entities to the domain of quantification.

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Section: Plural Abstraction Of Mereological Sumsmentioning

confidence: 99%

Thin Mereological Sums, Abstraction, and Interpretational Modalities

Lando

2022

Theoria

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“…In the previous section we saw that the gluon of an object is identical with all the parts of the object. This is a kind of one-many identity that might remind some readers of the Composition as Identity debate [see for a survey Carrara and Lando, 2021]. According to the strong version of Composition as Identity (CAI), a whole is literally identical to all its parts (taken collectively), i.e.…”

Section: Mereology For Gluon Theorymentioning

confidence: 99%