Schumm, Alexander and Rohloff, Waldmar and Piccinini, Gualtiero (2020) Composition as Trans-Scalar Identity. [Preprint]

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Abstract

We define mereologically invariant composition as the relation between a whole object and its parts when the object retains the same parts during a time interval. We argue that mereologically invariant composition is identity between a whole and its parts taken collectively. Our reason is that parts and wholes are equivalent measurements of a portion of reality at different scales in the precise sense employed by measurement theory. The purpose of these scales is the numerical representation of primitive relations between quantities of being. To show this, we prove representation and uniqueness theorems for composition. Thus, mereologically invariant composition is trans-scalar identity.

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Item Type:	Preprint
Creators:	Creators Email ORCID Schumm, Alexander atsf44@mail.umsl.edu Rohloff, Waldmar rohloffw@umsl.edu Piccinini, Gualtiero piccininig@umsl.edu
Keywords:	composition, identity, mereology, scale, measurement, partition
Subjects:	General Issues > Scientific Metaphysics General Issues > Reductionism/Holism
Depositing User:	Gualtiero Piccinini
Date Deposited:	18 Oct 2020 02:42
Last Modified:	18 Oct 2020 02:42
Item ID:	18253
Subjects:	General Issues > Scientific Metaphysics General Issues > Reductionism/Holism
Date:	14 October 2020
URI:	https://philsci-archive.pitt.edu/id/eprint/18253

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