Mathematics and language

This essay considers the special character of mathematical reasoning, and draws on observations from interactive theorem proving and the history of mathematics to clarify the nature of formal and informal mathematical language. It proposes that we view mathematics as a system of conventions and norms that is designed to help us make sense of the world and reason efficiently. Like any designed system, it can perform well or poorly, and the philosophy of mathematics has a role to play in helping us understand the general principles by which it serves its purposes well

Four Lenses for Designing Morally Engaging Games

Historically the focus of moral decision-making in games has been narrow, mostly confined to challenges of moral judgement (deciding right and wrong). In this paper, we look to moral psychology to get a broader view of the skills involved in ethical behaviour and how they may be employed in games. Following the Four Component Model of Rest and colleagues, we identify four “lenses” – perspectives for considering moral gameplay in terms of focus, sensitivity, judgement and action – and describe the design problems raised by each. To conclude, we analyse two recent games, The Walking Dead and Papers, Please, and show how the lenses give us insight into important design differences between them

Rationality and the Foundations of Positive Political Theory

In this paper, we discuss and debunk the four most common critiques of the rational choice research program (which we prefer to call Positive Political Theory) by explaining and advocating its foundations: the rationality assumption, component analysis (abstraction), strategic behavior, and theory building, in turn. We argue that the rationality assumption and component analysis, properly understood, can be seen to underlie all social science, despite the protestations of critics. We then discuss the two ways that PPT most clearly contributes to political science (i.e., what distinguishes it from other research programs), namely the introduction of strategic behavior (people do not just act; they interact) and PPT’s more careful attention to the theory-building step within the scientific method. We explain the roles of theory- building and of empirical “testing,” respectively, in scientific inquiry, and the criteria by which theories should and should not be judged

(WP 2010-08) Neuroeconomics: Constructing Identity

This paper asks whether neuroeconomics will make instrumental use of neuroscience to adjudicate existing disputes in economics or be more seriously informed by neuroscience in ways that might transform economics. The paper pursues the question by asking how neuroscience constructs an understanding of individuals as whole persons. The body of the paper is devoted to examining two approaches: Don Ross’s neurocellular approach to neuroeconomics and Joseph Dumit’s cultural anthropological science organization approach. The accounts are used to identify boundaries on single individual explanations. With that space Andy Clark’s external scaffolding view and Nathaniel Wilcox’s socially distributed cognition view are employed

An accounting standard for nonprofits : the missing essential building blocks

There have been numerous calls over the years for the development of an accounting standard for not-for-profit entities (NFPEs). Probably the most commonly quoted in this regard is that from the Industry Commission Report No. 45 in 1995 which contained the following recommendation: The Commonwealth government should provide funds to the Australian Accounting Standards Board and the Public Sector Accounting Standards Board to develop within two years suitable accounting standards for Community Social Welfare Organisations. This recommendation was made over 5-years ago. Why has no action been taken towards its implementation?..

Frontiers of finance: Evolution and efficient markets

In this review article we explore several recent advances in the quantitative modeling of financial markets. We begin with the Efficient Markets Hypothesis and describe how this controversial idea has stimulated a number of new directions of research, some focusing on more elaborate mathematical models that are captable of rationalizing the empirical facrts, others taking a completely different different tack in rejecting rationality altogether. One of the most promising directions is to view financial markets from a biological perspective and, specifically, with an evolutionary framework in which markets, instruments, institutions, and investors interact and evolve dynamically according to the "law" of economic selection. Under this view, financial agents compete and adapt, but they do not necessarily do so in an optimal fashion. Evolutionary and ecological models of financial markets is truly a new frontier whose exploration has just begun.Comment: 2 page