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Impossible Persons$
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Daniel Harbour

Print publication date: 2016

Print ISBN-13: 9780262034739

Published to MIT Press Scholarship Online: May 2017

DOI: 10.7551/mitpress/9780262034739.001.0001

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The Partition Problem Solved

The Partition Problem Solved

Chapter:
(p.65) 4 The Partition Problem Solved
Source:
Impossible Persons
Author(s):

Daniel Harbour

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262034739.003.0004

This chapter solves the partition problem of the previous chapter. It posits an ontology which is organised into nested power sets, denoted by two features (author, participant) and their host head. Crucially, these features are bivalent and their values denote operations between sets, allowing one set-denoting feature to act on another. The chapter shows that, once the systems can account for the most basic partitions, all and only the others follow, depending on a semantic parameter of order of composition.

Keywords:   monopartition, bipartition, tripartition, quadripartition, parameter

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