St Andrews Research Repository

St Andrews University Home
View Item 
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.

Abelian mereology

Thumbnail
View/Open
Cotnoir_2015_LLP_Abelian_CC.pdf (178.6Kb)
Date
2015
Author
Cotnoir, Aaron
Keywords
Universalism
Extensionality
Supplementation
Antisymmetry
Mereology
Parthood
Composition
B Philosophy (General)
Metadata
Show full item record
Abstract
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.
Citation
Cotnoir , A 2015 , ' Abelian mereology ' , Logic and Logical Philosophy . https://doi.org/10.12775/LLP.2015.006
Publication
Logic and Logical Philosophy
Status
Peer reviewed
DOI
https://doi.org/10.12775/LLP.2015.006
ISSN
1425-3305
Type
Journal article
Rights
Copyright (c) 2015 Logic and Logical Philosophy. This article is covered by a Creative Commons No-Derivatives licence (CC BY-ND). Licence details can be found here: https://creativecommons.org/licenses/by-nd/3.0/
Description
Date of Acceptance: 01/12/2015
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/6197

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

Advanced Search

Browse

All of RepositoryCommunities & CollectionsBy Issue DateNamesTitlesSubjectsClassificationTypeFunderThis CollectionBy Issue DateNamesTitlesSubjectsClassificationTypeFunder

My Account

Login

Open Access

To find out how you can benefit from open access to research, see our library web pages and Open Access blog. For open access help contact: openaccess@st-andrews.ac.uk.

Accessibility

Read our Accessibility statement.

How to submit research papers

The full text of research papers can be submitted to the repository via Pure, the University's research information system. For help see our guide: How to deposit in Pure.

Electronic thesis deposit

Help with deposit.

Repository help

For repository help contact: Digital-Repository@st-andrews.ac.uk.

Give Feedback

Cookie policy

This site may use cookies. Please see Terms and Conditions.

Usage statistics

COUNTER-compliant statistics on downloads from the repository are available from the IRUS-UK Service. Contact us for information.

© University of St Andrews Library

University of St Andrews is a charity registered in Scotland, No SC013532.

  • Facebook
  • Twitter