Intuitively there are some kinds of statements you can't infer from some other kinds. You probably can't get general information from particular information, and maybe you can't get normative information from descriptive either. Gillian Russell and Greg Restall have shown how to make these barrier theses precise and immune to counterexamples, if the barriers don't divide the statements into two exhaustive groups. I explain why this happens, and extend their results to show how to make the divisions exhaustive by changing the consequence relation.
Monday, April 16, 2012
I’ve put another paper on my university page. It’s called ‘Barriers to Non-classical Implication’, and builds on some results in another paper by Greg Restall and Gillian Russell. You might understand mine better if you read theirs first. Even if you’d still understand mine fine I recommend you read theirs anyway if you like that sort of thing. It’s a delight. When I gave a talk on the material in my paper in February, this was the abstract: