Token reflexivity and logic

Semiotica 2021 (240):241-259 (2021)
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Abstract

Token-reflexive theories of indexicals – words like ‘I,’ ‘here,’ and ‘today’ – are widely thought to face a problem in account for intuitively valid arguments involving indexicals. Yet all discussions of the problem with which I am familiar focus on particular examples or on particular rules of inference. In this paper, I first state the problem in its full generality, and then argue that two recent attempts to reject the problem fail. Finally, I consider the proposal by García-Carpintero that demonstratives – ‘this’ and ‘that’ – raise the same problem. I argue that while there are important similarities between the logic problem for token-reflexives and the role of demonstratives in logic, recent work on the logic of demonstratives can offer insights into logic that token-reflexive theories cannot.

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Geoff Georgi
West Virginia University

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References found in this work

Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 481-563.
Elements of symbolic logic.Hans Reichenbach - 1947 - London: Dover Publications.
Semantic relationism.Kit Fine (ed.) - 2007 - Malden, MA: Blackwell.
Afterthoughts.David Kaplan - 1989 - In J. Almog, J. Perry & H. Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 565-614.

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