This is Greg Restall’s website, with news, writings, pictures, and links. For background see below.

Constructive Logic, Truth and Warranted Assertibility

“Constructive Logic, Truth and Warranted Assertibility,” Philosophical Quarterly, 51 (2001) 474–483.

Shapiro and Taschek have argued that simply using intuitionistic logic and its Heyting semantics, one can show that there are no gaps in warranted assertibility. That is, given that a discourse is faithfully modelled using Heyting”s semantics for the logical constants, that if a statement S is not warrantedly assertible, then its negation ~S is. Tennant has argued for this conclusion on similar grounds. I show that these arguments fail, albeit in illuminating ways. I will show that an appeal to constructive logic does not commit one to this strong epistemological thesis, but that appeals to semantics of intuitionistic logic nonetheless do give us certain conclusions about the connections between warranted assertibility and truth.

Details

Author: Greg Restall
Status: Published in 2001

Local file: conlogtr.pdf (385KB)

Subjects: assertion intuitionistic logic truth warrant

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

I make no secret of changing my mind on one or two important issues … I’ve never thought it a virtue to adopt a position and try to get famous as a person who defends that position, like a purveyor of a brand name, like you’re selling cornflakes.
— Hilary Putnam The Philosophers’ Magazine, Summer 2001.