A Computational Solution to the Problem of Reference. This project will attack the core problem of philosophy of language by developing and applying tools from the theory of algorithmic complexity. Groundbreaking pure research at the intersection of logic, language, information and computation is the lifeblood of commercial research and development in information technology and telecommunications. The project will foster a cross-fertilisation of ideas between philosophy, computer science, math ....A Computational Solution to the Problem of Reference. This project will attack the core problem of philosophy of language by developing and applying tools from the theory of algorithmic complexity. Groundbreaking pure research at the intersection of logic, language, information and computation is the lifeblood of commercial research and development in information technology and telecommunications. The project will foster a cross-fertilisation of ideas between philosophy, computer science, mathematics, linguistics and psychology, and will provide students with skills and analytic techniques that will be valuable in future pure and applied research.Read moreRead less
The logical and metaphysical challenge of vague language. Where do we draw the line between life and death, tall and short, right and wrong? The vagueness or indeterminacy of such concepts prohibits easy answers. This projects aims to provide a philosophical analysis of such concepts which abound in natural language with a view to showing that orthodox views in logic and metaphysics are challenged by their presence. This analysis is to be published as a monograph whose significance lies in the f ....The logical and metaphysical challenge of vague language. Where do we draw the line between life and death, tall and short, right and wrong? The vagueness or indeterminacy of such concepts prohibits easy answers. This projects aims to provide a philosophical analysis of such concepts which abound in natural language with a view to showing that orthodox views in logic and metaphysics are challenged by their presence. This analysis is to be published as a monograph whose significance lies in the fact that it provides one of only four book-length treatments of the matter and does so from an entirely novel perspective.Read moreRead less
Options For Proofs: New Perspectives on Propositional Logic. Philosophers and logicians recognise that proof is important, but they do not agree on what proofs are. Recent research in logic has greatly expanded our notion of proof, but this research is not unified. We need a coherent, general and applicable concept of proof. This project will unify the literature on proof and bring these insights to bear in the philosophy of language. It will show how proof can help analyse many features of ....Options For Proofs: New Perspectives on Propositional Logic. Philosophers and logicians recognise that proof is important, but they do not agree on what proofs are. Recent research in logic has greatly expanded our notion of proof, but this research is not unified. We need a coherent, general and applicable concept of proof. This project will unify the literature on proof and bring these insights to bear in the philosophy of language. It will show how proof can help analyse many features of language (more than just logical constants) but that the role of inference does not justify one kind of proof in preference to others.Read moreRead less