Quantity Tropes and Internal Relations

Erkenntnis:1-16 (forthcoming)
Authors
Antti Keskinen
University of Tampere
Markku Keinänen
University of Tampere
Jani Hakkarainen
University of Tampere
Abstract
In this article, we present a new conception of internal relations between quantity tropes falling under determinates and determinables. We begin by providing a novel characterization of the necessary relations between these tropes as basic internal relations. The core ideas here are that the existence of the relata is sufficient for their being internally related, and that their being related does not require the existence of any specific entities distinct from the relata. We argue that quantity tropes are, as determinate particular natures, internally related by certain relations of proportion and order. By being determined by the nature of tropes, the relations of proportion and order remain invariant in conventional choice of unit for any quantity and give rise to natural divisions among tropes. As a consequence, tropes fall under distinct determinables and determinates. Our conception provides an accurate account of quantitative distances between tropes but avoids commitment to determinable universals. In this important respect, it compares favorably with the standard conception taking exact similarity and quantitative distances as primitive internal relations. Moreover, we argue for the superiority of our approach in comparison with two additional recent accounts of the similarity of quantity tropes.
Keywords tropes  quantities  internal relations  proportions  order
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DOI 10.1007/s10670-017-9969-0
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References found in this work BETA

The Metaphysics within Physics.Tim Maudlin - 2007 - Tijdschrift Voor Filosofie 69 (3):610-611.
A World of States of Affairs.John Heil & D. M. Armstrong - 1999 - Philosophical Review 108 (1):115.
Particulars in Particular Clothing: Three Trope Theories of Substance.Peter Simons - 1994 - Philosophy and Phenomenological Research 54 (3):553 - 575.

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Citations of this work BETA

Instantiation and Characterization: Problems in Lowe's Four-Category Ontology.Markku Keinänen - 2018 - In Timothy Tambassi (ed.), Studies in the Ontology of E.J. Lowe. Neunkirchen-Seelscheid: Editiones Scholasticae. pp. 109-124.

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