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Arbitrary reference

Abstract:

Two fundamental rules of reasoning are Universal Generalisation and Existential Instantiation. Applications of these rules involve stipulations (even if only implicitly) such as 'Let n be an arbitrary number' or 'Let John be an arbitrary Frenchman'. Yet the semantics underlying such stipulations are far from clear. What, for example, does 'n' refer to following the stipulation that n be an arbitrary number? In this paper, we argue that 'n' refers to a number-an ordinary, particular number suc...

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Publication status:
Published

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Publisher copy:
10.1007/s11098-010-9676-z

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Institution:
University of Oxford
Division:
HUMS
Department:
Philosophy Faculty
Role:
Author
Journal:
PHILOSOPHICAL STUDIES
Volume:
158
Issue:
3
Pages:
377-400
Publication date:
2012-04-01
DOI:
EISSN:
1573-0883
ISSN:
0031-8116
Source identifiers:
220783
Language:
English
Keywords:
Pubs id:
pubs:220783
UUID:
uuid:86b9db7f-e295-401a-bc44-8b0b81d9dd99
Local pid:
pubs:220783
Deposit date:
2012-12-19

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