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
Decision theory in crisis. Decision theory's goals are to characterise and to guide rational decision-making—from the minor decisions of daily life, to the major decisions of industry and government— which, in its current state, it is unfit to do. This project will refine decision theory so that it may better achieve these goals.
A Unified Theory of 'If's. This project aims to develop a unified theory of ‘if’s. Our understanding of an uncertain and risky world requires hypothetical reasoning involving ‘if’s. They are significant theoretically: in science, history, politics, economics, psychology, computer science, linguistics, and philosophy. They are significant practically: in our planning, decision-making, policy priorities, legal judgments, environmental and medical interventions. Yet we lack a comprehensive, readily ....A Unified Theory of 'If's. This project aims to develop a unified theory of ‘if’s. Our understanding of an uncertain and risky world requires hypothetical reasoning involving ‘if’s. They are significant theoretically: in science, history, politics, economics, psychology, computer science, linguistics, and philosophy. They are significant practically: in our planning, decision-making, policy priorities, legal judgments, environmental and medical interventions. Yet we lack a comprehensive, readily implementable theory of ‘if’s. The project expects to provide such a theory, based on probability, improving on approaches from philosophy and linguistics, and benefitting both these fields. It also promises significant benefits for artificial intelligence/machine learning.
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New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of ....New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of this and similar phenomena in layered systems has nanotechnological implications. This may affect the design of new small electronic devices or could apply to small biological systems and the development of new medicines. The project will surely lead to new applicable mathematics.Read moreRead less
Design of dynamic visual signals. Models of the design of visual signals depend heavily upon analyses of static ornaments. Nothing is known about dynamic visual signals. We will use an array of new techniques to tackle this problem for the first time. Motion analyses will define the task faced by the visual system. Sensory limitations will be measured to identify constraints on signal evolution. Digital video playback studies will assess recognition and explain aspects of signal design. Results ....Design of dynamic visual signals. Models of the design of visual signals depend heavily upon analyses of static ornaments. Nothing is known about dynamic visual signals. We will use an array of new techniques to tackle this problem for the first time. Motion analyses will define the task faced by the visual system. Sensory limitations will be measured to identify constraints on signal evolution. Digital video playback studies will assess recognition and explain aspects of signal design. Results will test the generality of principles that have been developed in studies of female mate choice and extend these ideas to address intra-sexual selection operating through opponent assessment.Read moreRead less
A Buddhist challenge to Western conceptions of logic. This project aims to advance and defend a theory about the nature of logic and rationality. The project will draw on Buddhist logic texts and demonstrate their relevance to contemporary Western debates about the nature of logic. It seeks to show that a Buddhist theory of logic can challenge widely-entrenched but unexamined Western conceptions of the nature of logic. The project is expected to advance intellectual engagement between Buddhist a ....A Buddhist challenge to Western conceptions of logic. This project aims to advance and defend a theory about the nature of logic and rationality. The project will draw on Buddhist logic texts and demonstrate their relevance to contemporary Western debates about the nature of logic. It seeks to show that a Buddhist theory of logic can challenge widely-entrenched but unexamined Western conceptions of the nature of logic. The project is expected to advance intellectual engagement between Buddhist and Western philosophers, bring attention to texts and theories not currently available to the Western philosophical world, and demonstrate the importance of a collaborative, interdisciplinary approach to global philosophy.Read moreRead less
Determining the social value of extreme, mixed-use urban developments. Using an Adelaide case study, UCity, this project will investigate the social benefit of building mixed-use vertical communities in the Australian urban context. Using an innovative Social Value Framework, the project will establish and demonstrate the multi-dimensional impacts of such developments in practice. The project utilises citizen science for real time auditing of the built environment by residents and users; smart t ....Determining the social value of extreme, mixed-use urban developments. Using an Adelaide case study, UCity, this project will investigate the social benefit of building mixed-use vertical communities in the Australian urban context. Using an innovative Social Value Framework, the project will establish and demonstrate the multi-dimensional impacts of such developments in practice. The project utilises citizen science for real time auditing of the built environment by residents and users; smart technologies for environmental and behavioural monitoring; and data analytics and design automation for spatial analysis of building use. The results will inform new models of sustainable high-rise, mixed-use buildings; providing evidence for a Social Value Framework to become a core consideration in Australian industry.Read moreRead less
The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. ....The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. This perspective from mathematical physics, in particular using the tools of statistical mechanics, will lead to a better understanding of many real-world complex systems.Read moreRead less
Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as
leading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:
the re ....Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as
leading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:
the relationship between Tutte's work on dichromatic polynomials and matrix models, the outstanding problem of calculating the order parameters of the chiral Potts model, and the eigenvalue spectra of the transfer matrices that occur in integrable models.
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Solvable models and pattern formation: quantum spin ladders, combinatorics and stromatolite morphogenesis. The aim of this project is to develop new applications of exactly solved models in statistical mechanics. These include the study of quantum spin ladders of great interest in condensed matter physics. The physical properties of new and existing models will be derived to provide valuable benchmarks and predictions for future theoretical and experimental work. We will also undertake the study ....Solvable models and pattern formation: quantum spin ladders, combinatorics and stromatolite morphogenesis. The aim of this project is to develop new applications of exactly solved models in statistical mechanics. These include the study of quantum spin ladders of great interest in condensed matter physics. The physical properties of new and existing models will be derived to provide valuable benchmarks and predictions for future theoretical and experimental work. We will also undertake the study and development of a set of remarkable conjectures relating the properties of a solvable model to an established area of combinatorics. Another aspect of this project involves the investigation of the origins, growth and form of ancient stromatolites.
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