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6 - Fiction

Published online by Cambridge University Press:  05 June 2012

John Woods
Affiliation:
University of British Columbia, Vancouver
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Summary

Do I contradict myself? Very well then I contradict myself (I am large, I contain multitudes).

Walt Whitman, Leaves of Grass, 1855

I am clear that [the philosophy of mathematics] would have to be a fictionalist account, legitimizing the use of mathematics and all its intratheoretic distinctions in the course of that use, unaffected by disbelief in the entities mathematics purports to be about.

Bas van Fraassen, The Scientific Image, 1980

In this chapter, I want to try to rzedeem the pledge of stipulationism in (especially) the abstract sciences. At the same time, I wish to seek for consideration what might fairly be said to motivate the fundamental principle of dialethism, the existence, namely, of true contradictions. On the face of it, the place to pursue their objectives is in the theory of fiction, or in that branch of it known as the logic of fiction (Woods, 1974). Fiction is, or appears to be, a paradigm of truth-making stipulations, in the sentences made true by the author's sayso and those that follow from them under suitably constrained closure conditions. And fiction endorses, and thereby makes true, sentences having the character of contradictions – or so it would appear. A third reason for exploring the logic of fiction is the mere fact of fictionalism in the foundation of mathematics (Woods, 1974). It is a fact that summons up an initially attractive principle:

Fictionalism: Since fictionalism with regard to a theory T proposes that T's truths are secured and validated by analogy with how the truths of fiction themselves are secured and validated, fictionalism with respect to T cannot be an adequate semantic theory of T unless the theory of fiction borrowed by T's fictionalism is in its own right a semantically adequate theory of fiction.

Type
Chapter
Information
Paradox and Paraconsistency
Conflict Resolution in the Abstract Sciences
, pp. 196 - 227
Publisher: Cambridge University Press
Print publication year: 2002

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  • Fiction
  • John Woods, University of British Columbia, Vancouver
  • Book: Paradox and Paraconsistency
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511614002.008
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  • Fiction
  • John Woods, University of British Columbia, Vancouver
  • Book: Paradox and Paraconsistency
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511614002.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Fiction
  • John Woods, University of British Columbia, Vancouver
  • Book: Paradox and Paraconsistency
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511614002.008
Available formats
×