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KripkeCenter: Susanne Bobzien

May 16, 2013 @ 4:15 pm - 6:15 pm

Saul Kripke Center Lecture
Susanne Bobzien (Yale)
“Kripke Semantics for Columnar Higher-Order Vagueness”
ABSTRACT:

Hierarchical higher-order vagueness leads to incoherence when it is used as a means to avoid a sharp boundary in the Sorites paradox (cf. Sainsbury 1990, Wright 1992, Shapiro 2006). The challenge is to provide a compositional notion of higher-order vagueness that (i) allows infinite higher orders, (ii) retains the desired relevance to the Sorites, (iii) allows for a model-theoretic representation that reflects such relevance, but (iv) does not run into any higher-order vagueness paradox. In some recent papers I have introduced the only type of higher-order vagueness that meets this challenge (“columnar higher-order vagueness”) and have set forth some of its elements. ┬áIn this paper, I explain what columnar higher-order vagueness is, give a formalization of its core properties in terms of an axiomatic modal system, and produce a Kripke semantics for its simplest (i.e. bivalent & classical) form together with a philosophical interpretation of the semantics. I finish with an illustration of how the semantics can be used as an infrastructure for epistemicist and non-epistemicist bivalent theories of vagueness and briefly touch upon possible modifications for three-valued logics.

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Details

Date:
May 16, 2013
Time:
4:15 pm - 6:15 pm
Event Category:

Venue

Room 7102
CUNY Graduate Center

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