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Andreas Ditter:聽听(2023),听Springer

In his paper 鈥楾he possibility of vagueness鈥� (Fine in Synthese 194(10): 3699鈥�3725, 2017), Kit Fine proposes a new logic of vagueness, CL, that promises to provide both a solution to the sorites paradox and a way to avoid the impossibility result from Fine (Philos Perspect 22(1):111鈥�136, 2008). The present paper presents a challenge to his new theory of vagueness. I argue that the possibility theorem stated in Fine (Synthese 194(10):3699鈥�3725, 2017), as well as his solution to the sorites paradox, fail in certain reasonable extensions of the language of CL. More speci铿乧ally, I show that if we extend the language with any negation operator that obeys reductio ad absurdum, we can prove a new impossibility result that makes the kind of indeterminacy that Fine takes to be a hallmark of vagueness impossible. I show that such negation operators can be conservatively added to CL and examine some of the philosophical consequences of this result. Moreover, I demonstrate that we can de铿乶e a particular negation operator that behaves exactly like intuitionistic negation in a natural and unobjectionable propositionally quanti铿乪d extension of CL. Since intuitionistic negation obeys reductio, the new impossibility result holds in this propositionally quanti铿乪d extension of CL. In addition, the sorites paradox resurfaces for the new negation.

Chapter in "". (2023) Federico L. G. Faroldi, Frederik Van De Putte (Eds.), Springer