The Logical Theories of Robert Kilwardby. The project is to produce a monograph on the logical theories of Robert Kilwardby (d. 1279) as they are expounded in his commentary on Aristotle's Prior Analytics, analyzing them from the perspective of modern logic. Kilwardby's commentary - which has not been critically edited, translated, or extensively studied - is remarkable for its fidelity to Aristotle's text, and its innovations in logical theory. This forms part of a larger project jointly with D ....The Logical Theories of Robert Kilwardby. The project is to produce a monograph on the logical theories of Robert Kilwardby (d. 1279) as they are expounded in his commentary on Aristotle's Prior Analytics, analyzing them from the perspective of modern logic. Kilwardby's commentary - which has not been critically edited, translated, or extensively studied - is remarkable for its fidelity to Aristotle's text, and its innovations in logical theory. This forms part of a larger project jointly with Dr Henrik Lagerlund (Uppsala University), to do a critical edition, historical introduction, and English translation of Kilwardby's commentary, together with the present logical analysis.Read moreRead less
Idealism, Pragmatism, and the Historical Norms of Rationality. This project engages critically with the remarkable "normative pragmatics" of Robert Brandom, essentially the first analytic philosopher in a century to defend Hegel's "logic" from a modern logical perspective. It develops Brandom's suggested "inferentialist" interpretation of Hegel, but shows how a presupposition distorts both Brandom's reading of Hegel and his substantive account of the norms of reason. A corrective is developed on ....Idealism, Pragmatism, and the Historical Norms of Rationality. This project engages critically with the remarkable "normative pragmatics" of Robert Brandom, essentially the first analytic philosopher in a century to defend Hegel's "logic" from a modern logical perspective. It develops Brandom's suggested "inferentialist" interpretation of Hegel, but shows how a presupposition distorts both Brandom's reading of Hegel and his substantive account of the norms of reason. A corrective is developed on the basis of the later work of Brandom's mentor, Wilfrid Sellars. The corrected account shows how the norms of thought need not be eternal to be rational, but rather, are rational because of the way they are historical.Read moreRead less
Aristotle's Categories in the Byzantine, Arabic and Latin Traditions. High quality pure research is of national benefit because it adds to the depth of national culture and because it enhances our national profile overseas. When it involves collaboration with leading scholars at leading international universities, the enhancement is even greater. To understand the great religions that form part of our national identity, and their influence on philosophical thought, is of national benefit because ....Aristotle's Categories in the Byzantine, Arabic and Latin Traditions. High quality pure research is of national benefit because it adds to the depth of national culture and because it enhances our national profile overseas. When it involves collaboration with leading scholars at leading international universities, the enhancement is even greater. To understand the great religions that form part of our national identity, and their influence on philosophical thought, is of national benefit because it helps understand our place in today's world.Read moreRead less
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
Semantics, externalism and a priori truths. This project aims to discover more about the logical roots of a priori knowledge. Pure mathematicians and logicians discover truths which are not justified by inference from observations; philosophers traditionally have aspired to do likewise. Yet little is understood about what makes a priori knowledge possible. There is a growing branch of logic which studies what is known as "double indexing" and this promises to throw light on the a priori. Austral ....Semantics, externalism and a priori truths. This project aims to discover more about the logical roots of a priori knowledge. Pure mathematicians and logicians discover truths which are not justified by inference from observations; philosophers traditionally have aspired to do likewise. Yet little is understood about what makes a priori knowledge possible. There is a growing branch of logic which studies what is known as "double indexing" and this promises to throw light on the a priori. Australian philosophers have played a very salient role in the study of double indexing, and this project is well placed to make significant contributions in this area.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