Counting partial objects
<p>In this thesis, I develop a theory of counting. Chapter 1 introduces the topic and explains why it is important to give a theory of counting whole and partial objects. Chapter 2 shows that giving a theory of counting is surprisingly difficult because counting has five special features: coun...
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| Format: | Thesis |
| Language: | English |
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2020
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| _version_ | 1797112841050783744 |
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| author | von Götz, AAM |
| author2 | Mandelkern, M |
| author_facet | Mandelkern, M von Götz, AAM |
| author_sort | von Götz, AAM |
| collection | OXFORD |
| description | <p>In this thesis, I develop a theory of counting. Chapter 1 introduces the topic and explains why it is important to give a theory of counting whole and partial objects. Chapter 2 shows that giving a theory of counting is surprisingly difficult because counting has five special features: counting is kind sensitive, source sensitive, context dependent, graded in felicity, and underspecified. Based on the observation that counting is tightly connected with the notion of <em>mentally merging</em> objects, I develop a theory of counting in Chapter 3 that accounts for all these features. Roughly speaking, we can count objects with respect to a predicate P iff we can merge them such that they form objects that are sufficiently similar to whole Ps and at most one partial P. Chapter 4 argues that this theory of counting performs better than its competitors. Chapter 5 refines the proposed theory in three ways, while Chapter 6 replies to six objections against the theory. Chapter 7 concludes these discussions by exploring potential future research questions.</p> |
| first_indexed | 2024-03-07T08:29:37Z |
| format | Thesis |
| id | oxford-uuid:b3f4be1d-b37e-469b-85c5-3259c0465ab2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:29:37Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | oxford-uuid:b3f4be1d-b37e-469b-85c5-3259c0465ab22024-03-05T07:57:07ZCounting partial objectsThesishttp://purl.org/coar/resource_type/c_7a1fuuid:b3f4be1d-b37e-469b-85c5-3259c0465ab2PhilosophyEnglishHyrax Deposit2020von Götz, AAMMandelkern, M<p>In this thesis, I develop a theory of counting. Chapter 1 introduces the topic and explains why it is important to give a theory of counting whole and partial objects. Chapter 2 shows that giving a theory of counting is surprisingly difficult because counting has five special features: counting is kind sensitive, source sensitive, context dependent, graded in felicity, and underspecified. Based on the observation that counting is tightly connected with the notion of <em>mentally merging</em> objects, I develop a theory of counting in Chapter 3 that accounts for all these features. Roughly speaking, we can count objects with respect to a predicate P iff we can merge them such that they form objects that are sufficiently similar to whole Ps and at most one partial P. Chapter 4 argues that this theory of counting performs better than its competitors. Chapter 5 refines the proposed theory in three ways, while Chapter 6 replies to six objections against the theory. Chapter 7 concludes these discussions by exploring potential future research questions.</p> |
| spellingShingle | Philosophy von Götz, AAM Counting partial objects |
| title | Counting partial objects |
| title_full | Counting partial objects |
| title_fullStr | Counting partial objects |
| title_full_unstemmed | Counting partial objects |
| title_short | Counting partial objects |
| title_sort | counting partial objects |
| topic | Philosophy |
| work_keys_str_mv | AT vongotzaam countingpartialobjects |