ORIGINAL ARTICLE
Analyticity and Possible-World Semantics
Wlodek Rabinowicz
Received: 9 March 2006 / Accepted: 10 February 2010 / Published online: 7 March 2010
© Springer Science+Business Media B.V. 2010
Abstract Standard approaches to possible-world semantics allow us to define
necessity and logical truth, but analyticity is considerably more difficult to account
for. The source of this difficulty lies in the received model-theoretical conception of
a language interpretation. In intuitive terms, analyticity amounts to truth in virtue of
meaning alone, i.e. solely in virtue of the interpretation of linguistic expressions. In
other words, an analytic sentence should remain true under all variations of
‘extralinguistic reality’ as long as the interpretation is kept constant. However, the
received conception of an interpretation as a mapping from language to a model
frame hinders keeping the interpretation constant while varying other components
of the model. To make room for analyticity, the concept of an interpretation should
therefore be revised. The latter should be made richer in content than it has usually
been assumed. As a by-product, this revision also gives us a one-dimensional
analogue of the influential two-dimensional account of a priori. We are thus able to
map out the network of formal connections between the notions of analyticity,
apriority, logical truth and necessity.
1 Introduction
The aim of this paper is to consider how the notion of analyticity can be dealt with in
possible-world semantics. Semantics of this kind gives us a clear account of necessity
and logical truth, but analyticity turns out to be more difficult to account for.
An earlier version of this paper, entitled “Analyticity: An Unfinished Business in Possible-World
Semantics”, was published in H. Lagerlund, S. Lindstro ¨m and R. Sliwinski (eds), Modality Matters:
Twenty-Five essays in Honour of Krister Segerberg, Uppsala Philosophical Studies 53, Uppsala 2006,
pp. 345–58. The present version is considerably revised.
W. Rabinowicz (&)
Department of Philosophy, Lund University, Kungshuset, Lundaga ˚rd, 222 22 Lund, Sweden
e-mail: Wlodek.Rabinowicz@fil.lu.se
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Erkenn (2010) 72:295–314
DOI 10.1007/s10670-010-9216-4