Iterating Definiteness

Cian Dorr

in Cuts and Clouds

Published in print February 2010 | ISBN: 9780199570386
Published online May 2010 | e-ISBN: 9780191722134 | DOI:
Iterating Definiteness

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  • Philosophy of Mathematics and Logic
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This chapter argues that higher-order vagueness is universal: no sentence whatsoever is definitely true, definitely definitely true, definitely definitely definitely true, and so on ad infinitum. The argument, of which there are several versions, turns on the existence of Sorites sequences of possible worlds connecting the actual world to possible worlds where a given sentence is used in such a way that its meaning is very different. The chapter attempts to be neutral between competing accounts of the nature of vagueness and definiteness.

Keywords: higher-order vagueness; vagueness; definiteness; meaning; use

Chapter.  12984 words. 

Subjects: Philosophy of Mathematics and Logic ; Metaphysics

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