The Role of Naturalism in Ontology and Scientific Methodology. Naturalism is the philosophical doctrine perhaps best described as a respect for the methods of the natural sciences. Although most contemporary philosophers would describe themselves as naturalists, exactly how this important doctrine is spelled out is a matter of much controversy. What is more, many substantial issues in both philosophy of science and in metaphysics depend crucially on how we understand naturalism. This project ....The Role of Naturalism in Ontology and Scientific Methodology. Naturalism is the philosophical doctrine perhaps best described as a respect for the methods of the natural sciences. Although most contemporary philosophers would describe themselves as naturalists, exactly how this important doctrine is spelled out is a matter of much controversy. What is more, many substantial issues in both philosophy of science and in metaphysics depend crucially on how we understand naturalism. This project will investigate the various conceptions of naturalism, looking at both their motivations and their implications for philosophy and scientific and mathematical methodology.Read moreRead less
Causes that make a difference: A philosophical theory of token-causation. Discussions of causation in philosophy and other disciplines raise matters of practical concern: for example, about how to improve causal explanations in economics, how to devise better ways of testing causal hypotheses in medicine, and how to automate procedures for discovering causal relations in agriculture. By clarifying the structure of causal concepts, the project will help in the efforts to address these problems, a ....Causes that make a difference: A philosophical theory of token-causation. Discussions of causation in philosophy and other disciplines raise matters of practical concern: for example, about how to improve causal explanations in economics, how to devise better ways of testing causal hypotheses in medicine, and how to automate procedures for discovering causal relations in agriculture. By clarifying the structure of causal concepts, the project will help in the efforts to address these problems, and so contribute indirectly to the national benefits that will accrue from solving them. A central aim of the project is to train several PhD students, the next generation of researchers, in this important field of enquiry.Read moreRead less
Mathematics, the science of real structure: an Australian realist philosophy of mathematics. The project will strengthen the already strong Australian philosophical tradition of realism, extending it into philosophy of mathematics. It will develop a robust alternative to the nominalism, Platonism and idealism that dominate northern-hemisphere philosophizing about mathematics, an alternative that is in tune with how mathematicians really apply mathematics. Australian philosophy will thus be stren ....Mathematics, the science of real structure: an Australian realist philosophy of mathematics. The project will strengthen the already strong Australian philosophical tradition of realism, extending it into philosophy of mathematics. It will develop a robust alternative to the nominalism, Platonism and idealism that dominate northern-hemisphere philosophizing about mathematics, an alternative that is in tune with how mathematicians really apply mathematics. Australian philosophy will thus be strengthened in general, giving it a greater attractiveness to the many overseas visitors and students who already appreciate its unique strengths. The nature of the project will also lead to closer ties and interdisciplinary work between philosophers and mathematicians.
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The One and the Many - the Path Through Contradiction. Australia has a major presence on the international philosophical world out of all proportion to its size (comparable to that which it has in sport). It is known for its development of radical new ideas and forthright approaches. One area in which this is particularly the case is logic and its philosophical applications. The present project is a high profile example of this, and will further enhance Australia's international intellectual p ....The One and the Many - the Path Through Contradiction. Australia has a major presence on the international philosophical world out of all proportion to its size (comparable to that which it has in sport). It is known for its development of radical new ideas and forthright approaches. One area in which this is particularly the case is logic and its philosophical applications. The present project is a high profile example of this, and will further enhance Australia's international intellectual profile.Read moreRead less
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
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
A unified theory of the individual - a central problem in analytical philosophy. This project will further increase Australia's already high profile in analytic philosophy. This will foster an intellectual environment within Australia that will attract highly skilled overseas academics who bring knowledge and funding to Australia, benefiting both Australian researchers and students. This will in turn attract overseas fee-paying students who bring economic and cultural benefits to Australia.
The Structure of Spacetime. This project, is part of a career long program of Critical Scientific Realism, which asserts that the sciences are a valuable guide to the truth, but rejects a ?fundamentalist? attitude towards them as if they were self-interpreting.
This project will make major contributions to our understanding of:
The properties and relations constitutive of Spacetime
Minimal Convexity Theory
Quantum theory and absolute Simultaneity
Stephen Wolfram and Discrete Geomet ....The Structure of Spacetime. This project, is part of a career long program of Critical Scientific Realism, which asserts that the sciences are a valuable guide to the truth, but rejects a ?fundamentalist? attitude towards them as if they were self-interpreting.
This project will make major contributions to our understanding of:
The properties and relations constitutive of Spacetime
Minimal Convexity Theory
Quantum theory and absolute Simultaneity
Stephen Wolfram and Discrete Geometrodynamics
Ways of approximating the discrete by the continuous
The resulting advances in knowledge will be presented in journal articles and a book integrating my work on Space and Time.Read moreRead less
Time and Perspective in the Quantum World. The project deals with topics which, since the early days of quantum theory in the 1920s and 1930s, have generated wide interest among general readers. It is investigating questions to which many Australians, as well as a great many more people internationally, would like to know the answers. It brings to Australia two distinguished young international researchers, thus substantially enhancing Australia's skill base and international reputation in these ....Time and Perspective in the Quantum World. The project deals with topics which, since the early days of quantum theory in the 1920s and 1930s, have generated wide interest among general readers. It is investigating questions to which many Australians, as well as a great many more people internationally, would like to know the answers. It brings to Australia two distinguished young international researchers, thus substantially enhancing Australia's skill base and international reputation in these fundamental fields. The project's core research team will also act as a catalyst for further international collaborations.Read moreRead less
Two-Dimensional Semantics and the Foundations of Philosophy. This project investigates fundamental philosophical questions concerning the relation between our minds and the world and the possibility of rational inquiry. The project represents a significant advance in the theoretical understanding of a broad range of central philosophical issues and it has important implications for the nature and methods of scientific inquiry. The project will contribute to the international research profile of ....Two-Dimensional Semantics and the Foundations of Philosophy. This project investigates fundamental philosophical questions concerning the relation between our minds and the world and the possibility of rational inquiry. The project represents a significant advance in the theoretical understanding of a broad range of central philosophical issues and it has important implications for the nature and methods of scientific inquiry. The project will contribute to the international research profile of Australia, consolidating its place as a leader in this domain. Read moreRead less