This is Greg Restall’s website, with news, writings, links, and bite sized updates. For background look below.

Proof Theory and Meaning: the context of deducibility

“Proof Theory and Meaning: the context of deducibility,” p. 204–219 in Logic Colloquium 2007, ed. F. Delon, U. Kohlenbach, P. Maddy and F. Stephan, Cambridge University Press, 2010.

I examine Belnap’s two criteria of existence and uniqueness for evaluating putative definitions of logical concepts in inference rules, by determining how they apply in four different examples: conjunction, the universal quantifier, the indefinite choice operator and the necessity in the modal logic S5. This illustrates the ways that definitions may be evaluated relative to a background theory of consequence, and the ways that different accounts of consequence provide us with different resources for making definitions.


Author: Greg Restall
Status: Published in 2010

Local file: ptm-context.pdf (273KB)

Subjects: meaning proofs quantifiers sequents


I’m Greg Restall, and this is my website. I work in Philosophy at the University of Melbourne. Email: greg at; Post: School of of Philosophy, Anthropology and Social Inquiry, University of Melbourne, Parkville 3010, Australia.

Start at the home page—a summary of the site. The left column is news, archived on the news archive page. The central column contains recent items from the writing page, which lists my publications. These are also categorised by topic. You can follow my links at my account on delicious and occasional short snarky remarks at @consequently on twitter.

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This site is handcoded: I write text in Textmate, and Webby files things in the right place and uploads them to the server. This page was last modified on 2010-11-16 at 12:32AM.


Be kind, for everyone you meet is fighting a great battle.
— Philo of Alexandria