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The Iterative Conception of Set

Abstract:

The use of tensed language and the metaphor of set 'formation' found in informal descriptions of the iterative conception of set are seldom taken at all seriously. Both are eliminated in the nonmodal stage theories that formalise this account. To avoid the paradoxes, such accounts deny the Maximality thesis, the compelling thesis that any sets can form a set. This paper seeks to save the Maximality thesis by taking the tense more seriously than has been customary (although not literally). A m...

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Publication status:
Published

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Publisher copy:
10.1007/s10992-012-9245-3

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Institution:
University of Oxford
Department:
Oxford, HUM, Philosophy, Philosophy NonPostholders
Journal:
JOURNAL OF PHILOSOPHICAL LOGIC
Volume:
42
Issue:
5
Pages:
697-725
Publication date:
2013-10-05
DOI:
EISSN:
1573-0433
ISSN:
0022-3611
URN:
uuid:a66c6b9f-1454-47fe-b5c8-0d8b95381f07
Source identifiers:
315250
Local pid:
pubs:315250

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