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‘Strenge’ Arithmetics

(with Robert K. Meyer) “ ‘Strenge’ Arithmetics,” Logique et Analyse 42 (1999) 205–220 (published in 2002).

We consider the virtues of relevant arithmetic couched in the logic E of entailment as opposed to R of relevant implication. The move to a stronger logic allows us to construct a complete system of true arithmetic, in which whenever an entailment A → B is not true (an example: 0=2 → 0=1 is not provable) then its negation ~(A → B) is true.

Details

Author: Robert K. Meyer and Greg Restall
Status: Published in 2002

Local file: strenge.pdf (160KB)

Subjects: mathematics models relevant logic

About

I’m Greg Restall, and this is my website. I work in Philosophy at the University of Melbourne. Email: greg at consequently.org; 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 2009-01-05 at 10:51AM.

Thought

O, such a deed / As from the body of contraction plucks / The very soul
— Hamlet, Act 3 Scene 4, lines 44-46.