Rationality and Resource Bounds in Logics for Intentional Attitudes. Formal philosophy is the discipline at the interface between traditional philosophy and modern mathematical logic. It has had a substantial impact in recent years and has benefited neighbouring disciplines, including computer science and artificial intelligence. It is a good example of how philosophical research can interact with more practical disciplines. This project will make substantial contributions to formal philosophy, ....Rationality and Resource Bounds in Logics for Intentional Attitudes. Formal philosophy is the discipline at the interface between traditional philosophy and modern mathematical logic. It has had a substantial impact in recent years and has benefited neighbouring disciplines, including computer science and artificial intelligence. It is a good example of how philosophical research can interact with more practical disciplines. This project will make substantial contributions to formal philosophy, which will in turn provide benefits in computer science and artificial intelligence, by providing a framework for logicians, computer scientists and researchers in artificial intelligence to discuss issues concerning knowledge, belief and rationality.Read moreRead less
Paraconsistent Foundations of Mathematics. In the English-speaking world, Australia is already the most prominent centre for paraconsistent research, known for development of radical new ideas advanced here in the last few decades. The program is ready to mature into its next phase, making important and lasting contributions to logic, philosophy, and mathematics. The Australian academy will derive international recognition for impressive new mathematics, and innovative philosophical explanations ....Paraconsistent Foundations of Mathematics. In the English-speaking world, Australia is already the most prominent centre for paraconsistent research, known for development of radical new ideas advanced here in the last few decades. The program is ready to mature into its next phase, making important and lasting contributions to logic, philosophy, and mathematics. The Australian academy will derive international recognition for impressive new mathematics, and innovative philosophical explanations of truth and proof. Read moreRead less
Logic, Abstraction and Construction. This is unashamedly a pure research project in logic. It aims to enhance our understanding of core issues in the nature of the world and how we can appropriately reason about it. Nevertheless, the techniques developed in logic inevitably find a home in applications in computer science, linguistics, mathematics and related fields. This project, in particular, will develop tools for realistically reasoning about the kinds of abstract or constructed objects on ....Logic, Abstraction and Construction. This is unashamedly a pure research project in logic. It aims to enhance our understanding of core issues in the nature of the world and how we can appropriately reason about it. Nevertheless, the techniques developed in logic inevitably find a home in applications in computer science, linguistics, mathematics and related fields. This project, in particular, will develop tools for realistically reasoning about the kinds of abstract or constructed objects one finds in mathematics, and with the vague or contradictory concepts we use in everyday discourse. In addition, the project will provide research training for postgraduate students, and it will strengthen an already internationally recognised research centre in philosophical logic.Read moreRead less
The Objects of Probabilities. Probabilities impact almost every aspect of our lives. Actuaries calculate probabilities of property loss due to bushfires, while climatologists warn that such probabilities will increase alarmingly. Probabilities abound in engineering, medicine, the law, the sciences and social sciences, and much philosophy. Yet we lack a proper understanding of the kinds of things that receive probabilities: the objects of probabilities. This project will provide such understandin ....The Objects of Probabilities. Probabilities impact almost every aspect of our lives. Actuaries calculate probabilities of property loss due to bushfires, while climatologists warn that such probabilities will increase alarmingly. Probabilities abound in engineering, medicine, the law, the sciences and social sciences, and much philosophy. Yet we lack a proper understanding of the kinds of things that receive probabilities: the objects of probabilities. This project will provide such understanding. It will rethink the foundations of probability and decision theory, with potential ramifications for the philosophy, science, and public policy that are based on these theories. It thus aims to strengthen Australia's research profile and international standing in these areas.Read moreRead less