On Woodruff’s Constructive Nonsense Logic

Studia Logica:1-20 (forthcoming)
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Abstract

Sören Halldén’s logic of nonsense is one of the most well-known many-valued logics available in the literature. In this paper, we discuss Peter Woodruff’s as yet rather unexplored attempt to advance a version of such a logic built on the top of a constructive logical basis. We start by recalling the basics of Woodruff’s system and by bringing to light some of its notable features. We then go on to elaborate on some of the difficulties attached to it; on our way to offer a possible solution to such difficulties, we discuss the relation between Woodruff’s system and two-dimensional semantics for many-valued logics, as developed by Hans Herzberger.

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Jonas R. B. Arenhart
Universidade Federal de Santa Catarina

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References found in this work

The Philosophical Basis of Intuitionistic Logic.Michael Dummett - 1978 - In Truth and other enigmas. Cambridge: Harvard University Press. pp. 215--247.
Off-Topic: A New Interpretation of Weak-Kleene Logic.Jc Beall - 2016 - Australasian Journal of Logic 13 (6).
Dimensions of truth.Hans G. Herzberger - 1973 - Journal of Philosophical Logic 2 (4):535 - 556.

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