Abstract
It is widely held that there is a problem of talking about or otherwise representing things that not exist. But what exactly is this problem? This paper presents a formulation of the problem in terms of the conflict between the fact that there are truths about non-existent things and the fact that truths must be answerable to reality, how things are. Given this, the problem of singular negative existential statements is no longer the central or most difficult aspect of the problem of non-existence, despite what some philosophers say.
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Notes
Cartwright alludes here to the view that ‘about’ is ambiguous, a view held by Searle (1983) among others.
An example of a technical use of ‘about’ would be the kind of definition introduced by Smiley 1960.
I am indebted here to discussions with Bill Brewer.
Nature 293, 2 (1981). Thanks to Andrew Pomiankowski for bringing this to my attention.
For the purposes of this paper, I am assuming that fictional characters don’t exist. Some philosophers (e.g. van Inwagen 1977, Thomasson 2003) disagree. But even if they are right about fiction, they still need to explain non-fictional non-existence.
See Crane 2011a for a defence of the claim that we can think in a genuinely ‘singular’ way about non-existent objects.
I therefore use the word ‘myth’ in a way which is different from Salmon’s (1987), but I believe closer to its ordinary meaning.
Sir Ian Blair was the head of London’s Metropolitan Police Force from 2005 to 2008.
Quine’s remark would have to be modified to make room for plural terms and relational predications, but this does not affect the central point.
The literature on free logic is now vast. See Lambert 2003 for a useful collection of writings on the subject, and a clear introduction to the philosophical issues.
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Acknowledgments
Thanks to the audience at my Carnap Lectures in Bochum in March 2011 for helpful discussion, and to an anonymous referee for Philosophia for excellent critical comments.
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Crane, T. What is the Problem of Non-Existence?. Philosophia 40, 417–434 (2012). https://doi.org/10.1007/s11406-011-9354-1
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DOI: https://doi.org/10.1007/s11406-011-9354-1