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Assertion and Denial, Commitment and Entitlement, and Incompatibility (and some consequence)

“Assertion and Denial, Commitment and Entitlement, and Incompatibility (and some consequence),” Studies in Logic 1 (2008), 26–36.

In this short paper, I compare and contrast the kind of symmetricalist treatment of negation favoured in different ways by Huw Price (in “Why ‘Not’?”) and by me (in “Multiple Conclusions”) with Robert Brandom’s analysis of scorekeeping in terms of commitment, entitlement and incompatibility.

Both kinds of account provide a way to distinguish the inferential significance of ”A” and ”A is warranted” in terms of a subtler analysis of our practices: on the one hand, we assert as well as deny; on the other, by distingushing downstream commitments from upstream entitlements and the incompatibility definable in terms of these. In this note I will examine the connections between these different approaches.

Details

Author: Greg Restall
Status: Published in 2008

Local file: adcei.pdf (167KB)

Subjects: assertion entailment intuitionistic logic negation proofs sequents

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.

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Thought

There are two kinds of truths: those of reasoning and those of fact. The truths of reasoning are necessary and their opposite is impossible; the truths of fact are contigent and their opposites are possible.
— Gottfried Leibniz Monadology.