The field of quantitative analysis is often mistaken to be a discipline free from ethical burdens. The quantitative financial analyst or “quant” profession holds a position of significant responsibility as the keeper of mathematical models used in complex derivative security pricing and risk management. Despite this responsibility very few postgraduate programs address the teaching of ethics and professional standards in their curriculum, and the credibility of the profession has suffered as a result of several high-profile financial losses. Some (...) of these failures could have been avoided and their impacts diminished if ethical considerations were integrated with quantitative method. Appropriate development in ethics education for quants is needed to identify points in the decision-making process where ethical questions can arise, and to explain how quants can protect stakeholders from the costs of unethical behaviour. An approach to ethics education needs to be flexible and allow for different methods to infuse ethical coverage into the course. Such an approach will go some way towards aligning the profession with other specialisations in banking and avoid the need for complex and unnecessary regulation. (shrink)

This article starts with an overview of the author’s personal involvement—as an Operations Research consultant—in several engineering case-studies that may raise ethical questions; e.g., case-studies on nuclear waste, water management, sustainable ecology, military tactics, and animal welfare. All these case studies employ computer simulation models. In general, models are meant to solve practical problems, which may have ethical implications for the various stakeholders; namely, the modelers, the clients, and the public at large. The article further presents an overview of codes (...) of ethics in a variety of disciples. It discusses the role of mathematical models, focusing on the validation of these models’ assumptions. Documentation of these model assumptions needs special attention. Some ethical norms and values may be quantified through the model’s multiple performance measures, which might be optimized. The uncertainty about the validity of the model leads to risk or uncertainty analysis and to a search for robust models. Ethical questions may be pressing in military models, including war games. However, computer games and the related experimental economics may also provide a special tool to study ethical issues. Finally, the article briefly discusses whistleblowing. Its many references to publications and websites enable further study of ethical issues in modeling. (shrink)

The use of mathematical models to support decision making is proliferating in both the public and private sectors. Advances in computer technology and greater opportunities to learn the appropriate techniques are extending modeling capabilities to more and more people. As powerful decision aids, models can be both beneficial or harmful. At present, few safeguards exist to prevent model builders or users from deliberately, carelessly, or recklessly manipulating data to further their own ends. Perhaps more importantly, few people understand or (...) appreciate that harm can be caused when builders or users fail to recognize the values and assumptions on which a model is based or fail to take into account all the groups who would be affected by a model's results. This volume provides a setting for a dialogue about ethics and shows the need to continue and define a vocabulary for exploring ethical concerns. It will become increasingly important for model builders and users to have a clear and strong code of ethics to guide them in making the ethical decisions they surely will have to face. (shrink)

This monograph aims to mathematically codify the notion of "moral systems" and define a sensible distance between them. It consists of three parts, aimed at an audience with varying interests and mathematical backgrounds. The first part steers philosophical, formally defining moral systems and several related concepts. The second part studies black box algorithms, including questions of inference and metric construction. The third part explores the technical construction of metrics amongst conditional probability distributions.

Should research projects involving epidemiological modelling be subject to ethical scrutiny and peer review prior to publication? Mathematical modelling had considerable impacts during the COVID-19 pandemic, leading to social distancing and lockdowns. Imperial College conducted research leading to the website publication of a paper, Report 9, on non-pharmaceutical interventions (NPIs) and COVID-19 mortality demand dated 16th March 2020, arguing for a Government policy of non-pharmaceutical interventions (e.g. lockdowns, social distancing, mask wearing, working from home, furlough, school closures, reduced family (...) interaction etc.) to counter COVID 19. Enquiries and Freedom of Information requests to the institution indicate that there was no formal ethical committee review of this specific research, nor was there any peer review prior to their online publication of Report 9. This paper considers the duties placed upon researchers, institutions and research funders under the UK ‘Concordat to Support Research Integrity’ (CSRI), across various bioethical domains, and whether ethical committee scrutiny should be required for this research. (shrink)

Should research projects involving epidemiological modelling be subject to ethical scrutiny and peer review prior to publication? Mathematical modelling had considerable impacts during the COVID-19 pandemic, leading to social distancing and lockdowns. Imperial College conducted research leading to the website publication of a paper, Report 9, on non-pharmaceutical interventions (NPIs) and COVID-19 mortality demand dated 16th March 2020, arguing for a Government policy of non-pharmaceutical interventions (e.g. lockdowns, social distancing, mask wearing, working from home, furlough, school closures, reduced family (...) interaction etc.) to counter COVID 19. Enquiries and Freedom of Information requests to the institution indicate that there was no formal ethical committee review of this specific research, nor was there any peer review prior to their online publication of Report 9. This paper considers the duties placed upon researchers, institutions and research funders under the UK ‘Concordat to Support Research Integrity’ (CSRI), across various bioethical domains, and whether ethical committee scrutiny should be required for this research. (shrink)

Open peer commentary on the article “Ethics: A Radical-constructivist Approach” by Andreas Quale. Upshot: The first of my two main goals in this commentary is to establish thinking of ethics as concepts rather than as non-cognitive knowledge. The second is to argue that establishing models of individuals’ ethical concepts is a scientific enterprise that is quite similar to establishing models of individuals’ mathematical concepts. To accomplish these two primary goals, I draw from my experience of working scientifically (...) with von Glasersfeld for 25 years while he was developing radical constructivism as a coherent model of knowing, and appeal to several of his basic insights to establish constructing models of ethical concepts as a scientific enterprise. (shrink)

Fifty years ago, two Princeton professors established game theory as an important new branch of applied mathematics. Gametheory has become a celebrated discipline in its own right, and it now plays a prestigious role in many disciplines, including ethics,due in particular to the neo-Hobbesian thinking of David Gauthier and others. Now it is perched at the edge of business ethics. I believethat it is dangerous and demeaning. It makes us look the wrong way at business, reinforcing a destructive (...) obsession with measurableoutcomes and a false sense of competition. It falsely characterizes or insidiously advocates a style of human behavior that is utterlyunacceptable. To put the matter quite crudely, a person who actually practiced the form of "rationality" advocated by game theory wouldbe something of a monster. (shrink)

Fifty years ago, two Princeton professors established game theory as an important new branch of applied mathematics. Game theory has become a celebrated discipline in its own right, and it npw plays a prestigues role in many disciplines, including ethics, due in particular to the neo-Hobbesian thinking of David Gauthier and others. Now it is perched at the edge of business ethics. I believe that it is dangerous and demeaning. It makes us look the wrong way at business, (...) reinforcing a destructive obsession with measurable outcomes and a false sense of competition. It falsely characterizes or insidiously advocates a style of human behavior that is utterly unacceptable. To put the matter quite crudely, a person who actually practiced the form of "rationality" advocated by game theory would be something of a monster. (shrink)

Joshua Greene has argued that the empirical findings of cognitive science have implications for ethics. In particular, he has argued (1) that people’s deontological judgments in response to trolley problems are strongly influenced by at least one morally irrelevant factor, personal force, and are therefore at least somewhat unreliable, and (2) that we ought to trust our consequentialist judgments more than our deontological judgments when making decisions about unfamiliar moral problems. While many cognitive scientists have rejected Greene’s dual-process theory (...) of moral judgment on empirical grounds, philosophers have mostly taken issue with his normative assertions. For the most part, these two discussions have occurred separately. The current analysis aims to remedy this situation by philosophically analyzing the implications of moral dilemma research using the CNI model of moral decision-making – a formalized, mathematical model that decomposes three distinct aspects of moral-dilemma judgments. In particular, we show how research guided by the CNI model reveals significant conceptual, empirical, and theoretical problems with Greene’s dual-process theory, thereby questioning the foundations of his normative conclusions. (shrink)

I examine the role that mathematics plays in understanding and modelling finance, especially stock markets, and how philosophy affects it. To this end, I explore how mathematics penetrates finance via physics, constructing a ‘financial physics’, and I outline the philosophical backgrounds of this process, in particular the ‘philosophy of equilibrium’ and that of critical points or ‘out-of-equilibrium’. I discuss the main characteristics and a few weaknesses of these mathematizations of financial systems, notably econometrics and econophysics, and I compare the two (...) ways, top-down and bottom-up, of building mathematical approaches to finance. The top-down approach is the most used and the most conservative. I argue that it guarantees a mathematical account, but it is less effective than the more difficult bottom-up approach, which is more appropriate and which may end up without a mathematical account of financial phenomena. I then consider two important issues raised by a mathematical approach to finance, that is, the performative and the reversing side of mathematics, and an ethics of mathematics. In the first case I argue that mathematics not only can be a performative device, but it also enables ‘reversing’ dynamics, that is, a mathematical model may become not a representational tool, but a device of social engineering—a mathematical way of investigating what are the initial conditions and processes needed to obtain an intended result. In the second case I argue that this specific relation between mathematical modelling and prediction raises an ethical question in finance, namely, a responsible construction and use of the mathematical models provided by a financial physics. (shrink)

Philosophers since antiquity have argued the merits of mathematics as a normative aid in ethical decision-making and of the mathematization of ethics a theoretical discipline. Recently, Anagnostopoulos, Annas, Broadie and Hutchinson have probed such issues said to be of interest to Aristotle. Despite their studies, the sense in which Aristotle either opposed or proposed a mathematical ethics in subject-matter and method remains unclear. This paper attempts to clarify the matter. It shows Aristotle’s matrix of exactness and inexactness (...) for ethical subject-matter and ethical method in the Nicomachean Ethics. Then it probes a resultant puzzle from the matrix, namely, the HL model of the happy life without consideration of mathematical justice and the HJL model of the happy life with such consideration. Finally, it examines Aristotle’s twofold rationale for differentiating these two models in his overall moral feedback loop system: differences in the intellectual virtue of good deliberation; the priority of friendship over justice for the happy life. This suggests Aristotle saw no objection either to using mathematics as an aid to ethical decision-making for a happy life, or to mathematizing at least some parts of an ethical theory of eudaimonism. (shrink)

Vulnerability: an ethical category. Vulnerability must not be considered as an equivalent for the weakness or for the precariousness, i.e. the state in which the most resourceless people are living -with regard to power, wealth and health -; the strong are also vulnerable and they are potentially likely to be weakened. We will try to give its chance to an ethical category which, unlike person, personality, dignity, benevolence, non-malevolence, focusses on pleasures and displeasures, no more on the virtues of nursing (...) people. Moreover the category of vulnerability is quantity-sensitive. We will expose two mathematical models that highlight this last point of view. (shrink)

Every scientific theory is a simulacrum of reality, every written story a simulacrum of the canon, and every conceptualization of a subjective perspective a simulacrum of the consciousness behind it—but is there a shared essence to these simulacra? The pursuit of answering seemingly disparate fundamental questions across different disciplines may ultimately converge into a single solution: a single ontological answer underlying grand unified theory, hard problem of consciousness, and the foundation of mathematics. I provide a hypothesis, a speculative approximation, supported (...) by a comprehensive overview of scientific evidence and philosophical literature, of a unified epistemic and phenomenological model and, in doing so, propose a parsimonious solution to the hard problem of consciousness. -/- The proposition of the hypothesis bears important implications for cross-disciplinary study between linguistics, mathematics, physics, and computer science, and offers new epistemic, ontological, and ethical propositions about the nature of AI consciousness, as well as existential risk mitigation. (shrink)

Theories related to cognitive sciences, Human-in-the-loop Cyber-physical systems, data analysis for decision-making, and computational ethics make clear the need to create transdisciplinary learning, research, and application strategies to bring coherence to the paradigm of a truly human-oriented technology. Autonomous objects assume more responsibilities for individual and collective phenomena, they have gradually filtered into routines and require the incorporation of ethical practice into the professions related to the development, modeling, and design of algorithms. To make this possible, it is pertinent (...) and urgent to bring them closer to the problems and approaches of the humanities. Increasingly transdisciplinary research must be part of the construction of systems that provide developers and scientists with the necessary bases to understand the ethical debate and therefore their commitment to society. This article considers two theories as articulating axes: Blumenberg’s, coming from the field of philosophy, for whom the process of technification and especially the implementation of mathematical models in their algorithmic form leads to an emptying of meaning and therefore makes programmers who implement their functions to be alien to the concerns that gave them origin; Daston’s, belonging to the field of the history of science and according to which the division of labor in the processes of technification of the calculation implies a kind of subordination in which those who implement the inventions of a small group of privileged mathematicians ignore the procedures that put them into operation. Given these two theories, the black box models prevalent in AI development, and the urgency of establishing explanatory frameworks for the development of computational ethics, this article exposes the need to give a voice to the cultural history of consciousness for promoting the discussions around the implementation of mathematical algorithms. The paper takes as a reference the different points of view that have emerged around the study of technological ethics, its applicability, management, and design. It criticizes the current state of studies from a humanistic perspective and explains how the historical perspective allows promoting the training of software engineers, developers and creators so that they assume intuitions and moral values in the development of their work. Specifically, it aims to expose how cultural history, applied to the study of consciousness and its phenomena, makes those involved in this technological revolution aware of the effect that they, through their algorithms, have on society in general and on human beings in particular. (shrink)

Philosophers and mathematicians have different ideas about the difference between pure and applied mathematics. This should not surprise us, since they have different aims and interests. For mathematicians, pure mathematics is the interesting stuff, even if it has lots of physics involved. This has the consequence that picturesque examples play a role in motivating and justifying mathematical results. Philosophers might find this upsetting, but we find a parallel to mathematician’s attitudes in ethics, which, I argue, is a much (...) better model for how philosophers should think about these issues. (shrink)

This book highlights the unique need for philosophy among engineers, which stems from issues regarding their knowledge, role or being and influence. It discusses practice, context, ethics, models and failure as key aspects of engineering, and provides an easy but essential introduction to philosophy for engineers by presenting four key philosophers and linking them to these aspects: Karl Popper, Thomas Kuhn, Michael Polanyi and Martin Heidegger. Popper, Kuhn and Polanyi are philosophers of science who have challenged the view that (...) science is a ‘cool, detached’ discipline, since it also depends on human imagination, consensus and judgment plus artistry ; factors that are central to engineering. Heidegger critiqued technology on the one hand, but also stressed the importance of ‘doing’ over ‘knowing,’ thus ‘authenticating’ the highly pragmatic engineering profession. Science is the ‘core’ component of engineering, which is overlaid by a variety of heuristics. Practice-based knowledge can be formalized, with artificial intelligence offering a valuable tool for engineering, just as mathematics has done for science. The book also examines systems thinking in engineering. Featuring numerous diagrams, tables and examples throughout, the book is easily accessible to engineers. (shrink)

This book synthesizes the game-theoretic modeling of decision-making processes and an ancient moral requirement, called the Golden Rule of ethics (GR). This rule states, "Behave to others as you would like them to behave to you." The GR is one of the oldest, most widespread and specific moral requirements that appear in Christianity, Islam, Judaism, Buddhism, and Confucianism. The book constructs and justifies mathematical models of dynamic socio-economic processes and phenomena that reveal the mechanism of the GR and (...) are based on the concept of Berge equilibrium. The GR can be naturally used for resolving or balancing conflicts, and its "altruistic character" obviously excludes wars, blood-letting, and armed clashes. The previous book of the authors, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, covers the static case of the GR. In this book, the dynamic case of the GR is investigated using the altruistic concept of Berge equilibrium and three factors as follows: a) a modification of N.N. Krasovskii's mathematical formalization of differential positional games (DPGs), in view of the counterexamples given by A.I. Subbotin and A.F. Kononenko; b) the method of guiding control, proposed by N.N. Krasovskii; c) the Germeier convolution of the payoff functions of different players. Additionally, the book features exercises, problems, and solution tips collected together in Appendix 1, as well as new approaches to conflict resolution as presented in Appendices 2-4. The book will be of use to undergraduate and graduate students and experts in the field of decision-making in complex control and management systems, as well as anyone interested in game theory and applications. (shrink)

I argue that informational models of consciousness, including those proposed by the Integrated Information Theory, don’t presuppose or entail any particular view about the physical or metaphysical nature of consciousness. Such models only tell us how certain properties of consciousness can be mathematically described, thus providing a quantitative characterization of the phenomenon of consciousness that may contribute to the development of new methods of assessment and guide the explanatory project by supplying additional constraints on theoretical proposals. While informational models are (...) in principle compatible with multiple physical interpretations, a preliminary argument in favour of the continuity between informational approaches and the mechanistic project in neuroscience can be made based on historical precedents. (shrink)

Charles Parsons’ book “Mathematical Thought and Its Objects” of 2008 (Cambridge University Press, New York) is critically discussed by concentrating on one of Parsons’ main themes: the role of intuition in our understanding of arithmetic (“intuition” in the specific sense of Kant and Hilbert). Parsons argues for a version of structuralism which is restricted by the condition that some paradigmatic structure should be presented that makes clear the actual existence of structures of the necessary sort. Parsons’ paradigmatic structure is (...) the so-called ‘intuitive model’ of arithmetic realized by Hilbert’s strings of strokes. This paper argues that Hilbert’s strings, considered as given in intuition, cannot play the role Parsons assigns to them: the criteria of identity of these strings do not have the sharpness that Parsons wants to see in them, and Parsons inadvertently projects abstract structures into his ‘intuitive model’. This diagnosis is exemplified with respect to (a) Parsons’ distinction between addition and multiplication on the one hand and exponentiation on the other and (b) his analysis of arithmetical knowledge in simple cases like “7 + 5 = 12”. All in all, it is claimed that Parsons book contains many important insights with respect to, for example, different versions structuralism, the notion of “natural number” and its uniqueness, induction, predicativity and other things, for which he is rightly famous, but that his way of drawing on the notion of intuition leaves too many questions unanswered. (shrink)

Quantitative analysts or “Quants” are a source of competitive advantage for financial institutions. They occupy the relatively powerful but often misunderstood role of modeling, structuring, and pricing complex financial instruments in the capital markets. But Quants often function in a discipline free from ethical burdens. Models used to price complex instruments are usually beyond the mathematical understanding of financial sector participants who rely heavily on the integrity of the Quant who built them. Although there has been some attempt to (...) cover the ethics of mathematics applied to the capital markets, designing a set of rules to guide the ethical behavior of Quants cannot be made explicit and remains inexpressible. Because Quants generally experience a sense of detachment from moral obligation, there is a growing need to convert moral detachment into engagement. Our framework is indebted to key elements of Wittgenstein’s practical ethics philosophy and Rawls’ justice principle. The burden of balancing justice as fairness as defined by Rawls with the inability to explicitly articulate ethical rules as defined by Wittgenstein must fall to the Quant. We propose that the threshold delineating the barrier between ethical detachment and engagement can only be defined by the Quants themselves. It is their moral duty to disclose their level of ethical engagement when their models are put into practice. (shrink)

The purpose of this work is to elaborate an empirically grounded mathematical model of the magnitude of consequences component of “moral intensity” (Jones, Academy of Management Review 16 (2),366, 1991) that can be used to evaluate different ethical situations. The model is built using the analytical hierarchy process (AHP) (Saaty, The Analytic Hierarchy Process , 1980) and empirical data from the legal profession. One contribution of our work is that it illustrates how AHP can be applied in the field (...) of ethics. Following a review of the literature, we discuss the development of the model. We then illustrate how the model can be used to rank-order three well-known ethical reasoning cases in terms of the magnitude of consequences. The work concludes with implications for theory, practice, and future research. Specifically we discuss how this work extends the previous work by Collins ( Journal of Business Ethics 8 , 1, 1989) regarding the nature of harm variable. We also discuss the contribution this work makes in the development of ethical scenarios used to test hypotheses in the field of business ethics. Finally, we discuss how the model can be used for after-action review, contribute to organizational learning, train employees in ethical reasoning, and aid in the design and development of decision support systems that support ethical reasoning. (shrink)

This paper describes a second generation Simulator for Engineering Ethics Education. Details describing the first generation activities of this overall effort are published in Chung and Alfred (Sci Eng Ethics 15:189–199, 2009). The second generation research effort represents a major development in the interactive simulator educational approach. As with the first generation effort, the simulator places students in first person perspective scenarios involving different types of ethical situations. Students must still gather data, assess the situation, and make decisions. (...) The approach still requires students to develop their own ability to identify and respond to ethical engineering situations. However, were as, the generation one effort involved the use of a dogmatic model based on National Society of Professional Engineers’ Code of Ethics, the new generation two model is based on a mathematical model of the actual experiences of engineers involved in ethical situations. This approach also allows the use of feedback in the form of decision effectiveness and professional career impact. Statistical comparisons indicate a 59 percent increase in overall knowledge and a 19 percent improvement in teaching effectiveness over an Internet Engineering Ethics resource based approach. (shrink)

Environmental ethics concerns itself with ethical issues arising from the relationship between humans and the natural environment. Of particular interest are ethical considerations in relation to human efforts to conserve the natural environment. Some of the key environmental ethics issues are whether environmental value is intrinsic or instrumental, whether biodiversity is valuable in itself or whether it is an indicator of some other value(s), and what the appropriate time scale is for conservation planning. But there is much more (...) to environmental philosophy than environmental ethics. For a start, environmental philosophy covers a whole raft of issues in philosophy of science such as the role of mathematical models in population ecology,1 the relationship between the stability of ecosystems and the complexity of those ecosystems,2 the representation and treatment of uncertainty in ecological and conservation biology applications,3 and whether ecology has laws4. None of these issues has anything to do with ethics. But there is another sense in which environmental philosophy is much broader than environmental ethics: even in relation to topics where there are value or ethical issues, there are other philosophical issues that we would do well to disentangle from the ethics. I will argue that it is a mistake to think of the philosophical issues in question as merely environmental ethics. (shrink)

Ethical challenges surrounding the implementation of male circumcision as an HIV prevention strategyResearchers have been exploring the possibility of a correlation between male circumcision and lowered risk of HIV infection almost since the beginning of the HIV/AIDS epidemic.1 Results from a randomised controlled trial in South Africa in 2005 indicate that male circumcision protects men against the acquisition of HIV through heterosexual intercourse,2 confirming the findings from 20 years of observational studies.3 Circumcised men in the South African trial were 60% (...) less likely to acquire HIV than their uncircumcised counterparts. A mathematical modelling study, based on the South African trial, estimates that the practice of male circumcision could avert two million new HIV infections and 300 000 HIV-related deaths over the next 10 years in sub-Saharan Africa.4 More recently, two randomised controlled trials in Kisumu, Kenya and Rakai, Uganda showed, respectively, 53% and 48% reductions in HIV acquisition among circumcised men than uncircumcised men in the trial.5 These results strongly suggest that male circumcision could play an important role in the struggle against the continued rise in new HIV infections. However, as observers noted at the 2006 XVI International AIDS Conference in Toronto, Canada, excitement about the potential epidemiological impact has overshadowed the debate over the difficult translation of research on male circumcision, into policy and practice.6 Similar calls for caution have been raised before and elsewhere.7,8The topic of male circumcision carries an enormous amount of ethical baggage. Male infants, worldwide, are circumcised for various medical, social and/or religious reasons. Circumcision is a cultural act and a surgical procedure; medical reasons are not the only reasons to circumcise that people have found and continue to find as compelling. Benatar and Benatar9 have argued that—when …. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 41.3 (2003) 426-427 [Access article in PDF] Timothy Smiley, editor. Mathematics and Necessity: Essays in the History of Philosophy. New York: Oxford University Press, 2000. Pp. ix + 166. Cloth, $35.00.Mathematics and Necessity contains essays by M. F. Burnyeat, Ian Hacking, and Jonathan Bennett based on lectures given to the British Academy in 1998. All concern the history of the philosophical treatment of (...) mathematics, necessity, or both, although there is no single thread running through all three essays.Burnyeat focuses on Plato's understanding of mathematics in the Republic, making use of the Timeaus in particular to defend his interpretation. Plato claimed that in the ideal society mathematics should be studied for a full ten years, which many have thought excessive. To explain it, Burnyeat argues that the role of mathematics is pervasive: ethics and politics are mathematical, because in Plato's view mathematics is a constitutive part of ethical understanding. On Burnyeat's interpretation, goodness is part of the objective world, and mathematics is a science of values. The link between mathematics and goodness in the objective world is forged by the concord, harmony, and unity of proportions, which express the goodness of the Divine Craftsman's beneficent design. Proportions are both intrinsically good and the proper study of mathematics.Burnyeat explains why Plato thinks abstract kinematics (the pure non-sensible counterpart to astronomy) and abstract harmonics lead to knowledge of the good. Abstract kinematics concerns the "harmony of the spheres" described in the Republic. Drawing heavily on the Timeaus, Burnyeat argues that the circular motions of the spheres are motions in the intelligence of the world soul and that there are similar motions in human souls. The world soul and human souls are spatial and have circular motions (invisibility and intangibility make them incorporeal). Souls are the most important subject matter of abstract harmonics—the study of good proportions. A soul that understands the various mathematical disciplines and their relations takes on the harmony and hence goodness of the world soul. Such a soul serves as a model for organizing the social world, a model which properly trained rulers can use to shape a community. Burnyeat's well-argued essay is compelling and exciting. [End Page 427]Ian Hacking's views provide a great contrast to Burnyeat's Plato. Hacking conducts a phenomenological inquiry into why some philosophers have become obsessed by mathematics as a source of philosophical inspiration. He holds that mathematics concerns a relatively minor part of human culture and that the influence of mathematics on philosophy is pernicious; he even describes it as an infection.Hacking examines the views of six philosophers: Plato, Leibniz, Mill, Descartes, Lakatos, and Wittgenstein. Hacking's assessment of the six philosophers is at times disputable, but it is also interesting and stimulating, and serves his phenomenological inquiry.Hacking traces philosophy's infection by mathematics to two factors. A mathematical proof can be perspicuous; that is, a proof can be "grasped," which requires seeing directly why something must be true and being able to recapitulate it. A mathematical proof can also anticipate facts about the world. He thinks that these two factors affect us in two ways: they give us the idea of a priori knowledge, and they dazzle us into unreasoned conviction in proofs. One might respond that, setting aside the feeling proofs give us, we are still justified in being impressed by them. Hacking argues that much of what impresses is based on a misunderstanding of their nature, which he attempts to correct.According to Hacking, a mathematical demonstration involves shifts of meaning that analytically bind the proof and the theorem it establishes. They thereby mutually support each other and provide what he calls self-authentication. The correctness of the proof is supported by the "analytified" truth of the theorem and the theorem is considered true because proven.This bootstrapping feature of mathematical proofs supports Hacking's deflationary account of necessity. Hacking suggests that the "must" of logical necessity rests upon our unwillingness to accept empirical counter-examples to the... (shrink)

This article evaluates effectiveness and costs of external regulation, in particular the Sarbanes-Oxley Act of 2002 (SOX) in restricting managerial malfeasance and safeguarding shareholder interests. It discusses the role of managerial ethics as an alternative corporate governance mechanism to protect shareholder value. This article builds a mathematical model to illustrate shareholders' choices of best corporate governance mechanisms, taking into account the influence of managerial ethics, effectiveness and costs of monitoring. We suggest that the best corporate governance design (...) and the optimal monitoring expenses are influenced by managerial types, monitoring efficiency, and effectiveness of ethics education. We conclude that stringent regulation and monitoring may not always enhance shareholder value. When managerial ethics could be improved by ethics education or social norms, ethics education may be a better alternative than stringent regulation. (shrink)

Given the possibilities of synthetic biology, weapons of mass destruction and global climate change, humans may achieve the capacity globally to alter life. This crisis calls for an ethics that furnishes effective motives to take global action necessary for survival. We propose a research program for understanding why ethical principles change across time and culture. We also propose provisional motives and methods for reaching global consensus on engineering field ethics. Current interdisciplinary research in ethics, psychology, neuroscience and (...) evolutionary theory grounds these proposals. Experimental ethics, the application of scientific principles to ethical studies, provides a model for developing policies to advance solutions. A growing literature proposes evolutionary explanations for moral development. Connecting these approaches necessitates an experimental or scientific ethics that deliberately examines theories of morality for reliability. To illustrate how such an approach works, we cover three areas. The first section analyzes cross-cultural ethical systems in light of evolutionary theory. While such research is in its early stages, its assumptions entail consequences for engineering education. The second section discusses Howard University and University of Puerto Rico/Mayagüez (UPRM) courses that bring ethicists together with scientists and engineers to unite ethical theory and practice. We include a syllabus for engineering and STEM (Science, Technology, Engineering and Mathematics) ethics courses and a checklist model for translating educational theory and practice into community action. The model is based on aviation, medicine and engineering practice. The third and concluding section illustrates Howard University and UPRM efforts to translate engineering educational theory into community action. Multidisciplinary teams of engineering students and instructors take their expertise from the classroom to global communities to examine further the ethicality of prospective technologies and the decision-making processes that lead to them. (shrink)

Recent finance literature attributes the development of derivative instruments to technological advances, and improved mathematical models for predicting option prices. This paper explores the role of social ethics in the acceptance of financial derivatives. The relationship between utilitarian ethical principles and the demise of turn-of-the-century bucket shops is contrasted with modern tolerance of financial derivatives based upon libertarian ethical precepts. Our conclusion is that a change in social ethics also facilitated the growth in trading in modern financial (...) derivatives. (shrink)

The article describes theoretical views on the development of ethical consciousness in Ukrainian university students in the context of postmodernism, using the data from quasi-experimental psycho-pedagogical measurements. The article aims to specify the process of developing structural components of ethical consciousness in Ukrainian university students, who de facto (culturally and socially) are still gaining the experience of late postmodernity. The following methods were used at the propaedeutic, quasi-experimental and resumptive levels: theoretical-methodological analysis of relevant scientific-methodical sources; selection of relevant diagnostic (...) methods; modelling of educational conditions; psychodiagnostic methods; methods of mathematical statistics; summarization. The necessary data were collected, with the observance of all ethical norms, at the premises of Ukrainian higher education institutions, with the participation of 280 students-respondents (Years 1-5) who major in the humanities and technology. The obtained results indicate a rather uneven personal development of students under all structural components of ethical consciousness. The main part of the article, as well as conclusions, clarifies the components of ethical consciousness, their dynamics and dependence on one’s worldview and experience. The international relevance of the article lies in objectifying ethical consciousness of young people in the post-totalitarian environment. It will allow one to evaluate the interaction between traditional and postmodern systems, justify the prospects of such categories as “meanings” and “values” in the belated postmodern society. The results of the article may influence the modelling of the character-building component in new education systems in the post-cultural society. (shrink)

Spinoza is most often seen as a stern advocate of mechanistic efficient causation, but examining his philosophy in relation to the Aristotelian tradition reveals this view to be misleading: some key passages of the Ethics resemble so much what Surez writes about emanation that it is most natural to situate Spinoza's theory of causation not in the context of the mechanical sciences but in that of a late scholastic doctrine of the emanative causality of the formal cause; as taking (...) a look at the seventeenth-century philosophy of mathematics reveals, this is in consonance also with Spinoza's geometrical cast of mind. Against this background, I examine Spinoza's essentialist model of causation according to which each thing has a formal character determined by the thing's essence and what follows from that essence. In the case of real things this essential causal architecture results in efficacy, i.e. in bringing about real effects, the key idea being that without the essential, formally structured causal thrust there would be no efficacy in the first place. I also explain how this model accounts for efficient causation taking place between finite things. (shrink)

Can the need for incentives justify inequality? Starting from this question, Frank Vandenbroucke examines a conception of justice in which both equality and responsibility are involved. In the first part of the inquiry, which explores the implementation of that conception of justice, the justification of incentives assumes that agents make personal choices based only upon their own interests. The second part of the book challenges the idea that a normative conception of distributive justice can be based on that traditional assumption, (...) i.e. that personal choices are not the subject matter of justice. Thus, Vandenbroucke questions the Rawlsian idea that the primary subject of a theory of justice is the basic structure of society, and not the individual conduct of its citizens. For a society to be really just, the ethos of individual conduct has to serve justice. Non-mathematical readers can skip the formal model proposed in Chapter 3 and understand the rest of the book. (shrink)

Charles Parsons’ book “Mathematical Thought and Its Objects” of 2008 (Cambridge University Press, New York) is critically discussed by concentrating on one of Parsons’ main themes: the role of intuition in our understanding of arithmetic (“intuition” in the specific sense of Kant and Hilbert). Parsons argues for a version of structuralism which is restricted by the condition that some paradigmatic structure should be presented that makes clear the actual existence of structures of the necessary sort. Parsons’ paradigmatic structure is (...) the so-called ‘intuitive model’ of arithmetic realized by Hilbert’s strings of strokes. This paper argues that Hilbert’s strings, considered as given in intuition, cannot play the role Parsons assigns to them: the criteria of identity of these strings do not have the sharpness that Parsons wants to see in them, and Parsons inadvertently projects abstract structures into his ‘intuitive model’. This diagnosis is exemplified with respect to (a) Parsons’ distinction between addition and multiplication on the one hand and exponentiation on the other and (b) his analysis of arithmetical knowledge in simple cases like “7 + 5 = 12”. All in all, it is claimed that Parsons book contains many important insights with respect to, for example, different versions structuralism, the notion of “natural number” and its uniqueness, induction, predicativity and other things, for which he is rightly famous, but that his way of drawing on the notion of intuition leaves too many questions unanswered. (shrink)

Extract from Hofstadter's revew in Bulletin of American Mathematical Society : http://www.ams.org/journals/bull/1980-02-02/S0273-0979-1980-14752-7/S0273-0979-1980-14752-7.pdf -/- "Aaron Sloman is a man who is convinced that most philosophers and many other students of mind are in dire need of being convinced that there has been a revolution in that field happening right under their noses, and that they had better quickly inform themselves. The revolution is called "Artificial Intelligence" (Al)-and Sloman attempts to impart to others the "enlighten- ment" which he clearly regrets not (...) having experienced earlier himself. Being somewhat of a convert, Sloman is a zealous campaigner for his point of view. Now a Reader in Cognitive Science at Sussex, he began his academic career in more orthodox philosophy and, by exposure to linguistics and AI, came to feel that all approaches to mind which ignore AI are missing the boat. I agree with him, and I am glad that he has written this provocative book. The tone of Sloman's book can be gotten across by this quotation (p. 5): "I am prepared to go so far as to say that within a few years, if there remain any philosophers who are not familiar with some of the main developments in artificial intelligence, it will be fair to accuse them of professional incom- petence, and that to teach courses in philosophy of mind, epistemology, aesthetics, philosophy of science, philosophy of language, ethics, metaphysics, and other main areas of philosophy, without discussing the relevant aspects of artificial intelligence will be as irresponsible as giving a degree course in physics which includes no quantum theory." -/- (The author now regrets the extreme polemical tone of the book.). (shrink)

Over the past few years we have seen an increasing number of legal proceedings related to inappropriately implemented technology. At the same time career paths have diverged from the foundation of statistics out to Data Scientist, Machine Learning and AI. All of these new branches being fundamentally branches of statistics and mathematics. This has meant that formal training has struggled to keep up with what is required in the plethora of new roles. Mathematics as a taught subject is still based (...) in decades old teaching specifications and has not been updated centrally as a curriculum to include new technologies, coding or ethics. This subject area is firmly split between ICT and Mathematics in secondary school, continuing on to be split between Computer Science and Mathematics at University. As we move forwards with technology we see these once seperate fields becoming increasingly intertwined. We propose that existing provision for concepts such as ethics and societal responsibility in analysis currently exist but have not been incorporated into the mainstream curriculum of School or University. This is partially due to the split between fields in an educational setting but also the speed with which education is able to keep up with Industry and its requirements. Principles and frameworks of socially responsible modelling beginning at school level means that ethics and real-life modelling are introduced much earlier than normal. Integrating these concepts with philosophical principles of society and politics ensures a suitable background for future modellers and users of technology to draw on. Modelling is currently undertaken in technical sciences at University but the Subject Benchmark Statements are not current (Subject Benchmark Statements describe the nature of study and the academic standards expected of graduates in specific subject areas. They show what graduates might reasonably be expected to know, do and understand at the end of their studies). Even in 2019 the UK did not yet have Benchmark Statements that discuss the learning to be done in Higher Education around AI and advanced Machine Learning. Where there is provision for AI and Data Science within degree courses ethics is not generally highlighted as a key concept. As such there can be a lack of focus on the teaching of modelling or ethics as specific skills. The skills required to use a basic statistical model, for example would not be sufficient to start from scratch and build an ethical model reflecting real-world scenarios with which to inform policy or organisational decision making. This is a skill in itself and includes such aspects as awareness of data quality, ethics, user implementation problems, context and an understanding of the environment that the model is being created in. As the field of analytics has progressed so quickly in the last decade modules such as those covering AI have simply been bolted on to Maths or Computing degrees rather than being fully detailed as key areas of study or driving new, more integrated courses of study. This paper posits that gaps at primary, secondary and tertiary educational levels need to be addressed. Implementing and integrating key concepts from school level is essential so that areas such as assumptions, caveats, quality assurance and answering the right questions with constructive challenge become a cultural fixture. This not only helps developers of technology but users of rapidly developing technology also. In addition, leadership and soft skills as part of this education will ensure that a cultural shift can take place and promote continuous improvement in analysis within organisations. The addition of key concepts throughout the educational system and the updating of potentially outdated curriculums is key to ensuring a functional society. A society where every citizen is a user of tech and those that develop it can be ethical and socially responsible in its development. (shrink)

In an earlier paper, I claimed that one version of Putnam's model-theoretic argument against realism turned on a subtle, but philosophically significant, mathematical mistake. Recently, Luca Bellotti has criticized my argument for this claim. This paper responds to Bellotti's criticisms.

The ideas of Franz Rosenzweig have had relatively little impact outside of the circle of contemporary liberal Jewish thinkers. It is even more unlikely that his name would be found in any of the countless volumes an ethical theory. I argue that the ethical theory implied in his primary philosophical work, The Star of Redemption, is compelling and worth sustained and serious study by a wider audience. ;Rosenzweig rejects an Hegelian totalitarian ontological framework for ethics, in favor of a (...) relational ethics that is based on the immediate demands of a concretely contingent other. I construct the epistemological foundations for such an ethics out of his work, by drawing on an analogy from the new science of chaos and Rosenzweig's avowed reliance on Hermann Cohen's differential calculus of infinitesimals. ;In addition to considering the mathematical symbolic logic that serves to structure his epistemology, I consider how aesthetics plays a role in his ethical theory. I contrast essential elements of Rosenzweig's philosophy with those of Martin Heidegger's in order to specify why these two contemporaries have been so closely associated and why they should be more clearly distinguished from each other. Besides the obvious cultural parameters, what makes them similar is not only their univocal departure from a Western metaphysics of substance, but also a common concern to locate human beings in the vitally relational way that we exist in the world. Their differences are most clearly defined in how each respectively appropriates language and aesthetics in that locative process. ;For Heidegger, art as the way of language par excellence becomes the medium by which a human being becomes aware of his/her own solitary and finite existence through bringing one face-to-face with the ultimate nature of one's own death. For Rosenzweig, that same awareness is countered by his introduction of the revelatory experience of responsible love of one human being for an other, and which he analogically models on a dialogical encounter with God. I argue that the ultimate difference between these two thinkers, then, is that with Rosenzweig we are provided with the tools to develop an ethical theory that has contemporary relevance for responsible relationships, while with Heidegger, who openly rejects ethics as the context for a discourse on human authenticity, we are left with next to nothing. (shrink)

Dominic O'Meara has produced a scholarly and sympathetic account of a most enigmatic subject, namely, the role of mathematics in late Greek Platonic thought. O'Meara traces the path of mathematical philosophy from the Neopythagoreanism of the second and third centuries A.D. through that master of Athenian Neoplatonism, Proclus. Without this study few would recognize the paradigmatic role that mathematics played in Platonic thinkers throughout this period, for mathematics became the model for many forms of philosophical inquiry--not only theology and (...) physics, but even ethics. (shrink)

In settler-colonial Canada, the state does not receive Indigenous testimony as credible evidence. While the state often accepts Indigenous testimony in formal hearings, the state fundamentally rejects Indigenous evidence as a description of the world as it is, as an onto-epistemology. In other words, the Indigenous worldview formation, while it functions as a knowledge system that knows and predicts life, is not admitted to regulatory discussions about effects of resource extraction projects on life. Particularly in such resource-extraction review hearings, partly (...) for obvious reasons of ecological ethics, there is no space for Indigenous relational-ontology. I theorize that beyond racism, white supremacy, and greed, settler-colonial onto-epistemological structures are structured to systematically eliminate the potential for relational-ontologies. This exclusion is complementary to resource-extractivist and legal positivist procedures and is biased against Indigenous knowledge and knowledge-sharing procedures; it is a crisis of state integrity and is philosophically unsound. In my analysis of Canadian National Energy Board documents, I ferret out some of these structures that de facto discredit Indigenous onto-epistemologies; I propose this fundamental problem of the Canadian settler-colonial state must be recognized and changed if the calls of Canada’s Truth and Reconciliation commission are to be met. (shrink)

The Human Embryology Collection at the Centre of Anatomy Göttingen, created between 1942 and 1970, represents a unique interrelation of histological sectional series of human embryos and large-format physical models open to the public based on them. The collection was established long after the heyday of human embryology. It is also remarkable in another aspect: while usually models within the discipline are considered research objects, Göttingen embryologist Erich Blechschmidt (1904–1992) based his understanding on a pedagogical impetus. The article highlights the (...) distinctive and unconventional features of Blechschmidt’s undertaking against its disciplinary background. My focus lies on the two practices that are central to human embryology—collecting and modelling—, as well as the derived collection stocks. The special tension between individuality and universality that already characterized the process of their creation is also reflected in the later use of the collection. This tension allowed Blechschmidt to utilize the models in embryological research and anatomical teaching as well as in the broad social debate on abortion and the ethical status of human embryos. (shrink)

Greater emphasis on ethical issues is needed in science, technology, engineering, and mathematics (STEM) education. The fiction for specific purposes (FSP) approach, using optimistic science fiction texts, offers a way to focus on ethical reflection that capitalizes on role models rather than negative examples. This article discusses the benefits of using FSP in STEM education more broadly, and then explains how using optimistic fictions in particular encourages students to think in ethically constructive ways. Using examples of science fiction texts with (...) hopeful perspectives, example discussion questions are given to model how to help keep students focused on the ethical issues in a text. Sample writing prompts to elicit ethical reflection are also provided as models of how to guide students to contemplate and analyze ethical issues that are important in their field of study. The article concludes that the use of optimistic fictions, framed through the lens of professional ethics guidelines and reinforced through ethical reflection, can help students to have beneficial ethical models. (shrink)

The purpose of this paper is to discuss the role of financial practice in the development of mathematics as applied in human judgement. The basis of the paper is in historical research from the 1990s that argues that the monetisation of western commerce, which abstracted value into quantified price, was synthesised with scholastic analysis resulting in a “mathematical mechanistic world picture” that led to the widespread use of mathematics in science from the seventeenth century. An aspect of this process (...) was the quantification of chance that led to the development of mathematical probability, the branch of mathematics most relevant to judgement and the focus of this paper. Ideas from this historical research are related to the fundamental theorem of asset pricing, the foundational theory of contemporary financial mathematics. The paper observes that vestiges of medieval scholastic attitudes to financial ethics can be discerned in the FTAP, offering a novel interpretation of the mathematical theorem. The paper then considers the Dutch book argument, the most popular justification for subjective probability. The paper’s main contribution is in describing the significance of financial practice in validating the DBA and the paper explains how the FTAP addresses some criticisms of how the DBA represents beliefs. The conclusions emphasise the distinction between pure and practical reasoning and that this should be mirrored in a distinction between the mathematics of physica and practica. This point is important as mathematics is becoming more widespread in modelling, and directing, social systems. (shrink)

It is difficult to talk about ethics in Australia these days, because the different metamoral languages make it difficult for people to communicate on moral matters; there are no generally accepted criteria for assessing the meaning and truth of moral propositions; and witness talks larger in these matters than theoretical expertise, and the ideals that favour the acceptance of credible role models are no longer generally accepted. We should not assume that we can say anything meaningful about business (...) class='Hi'>ethics. One reason for this arises from the Australian experience of the ''80s: the fruits of a profound cynicism are now with us, as prominent figures find themselves in court to defend their actions, and seem amazed that they are accused of doing anything wrong at all. We may want to stop something like this from happening again, but if the language of business ethics meant nothing to these people, how can we hope that it will mean much to us, or to future generations? A second reason arises from the nature of ethics itself. Business ethics, after all, does not exist in a vacuum; its language will not mean much to people who do not agree on what they mean whenever they talk about right and wrong. Some people, for example, measure the rightness or wrongness of actions in terms of their consequences; for others, on the other hand, some actions are wrong, no mater what the consequences. How are they to talk to each other? What is at issue here is what ethical propositions mean, and how one can measure their truth. And there is another reason. As Socrates pointed out long ago, ethics is not a theoretical science, which can be taught and learnt as dispassionately as mathematics. It is practical, and so engages teacher and pupil in an entirely different way: one cannot say one thing, and do another. When you have read a journal like this, will you necessarily be a better person or a more honest businessman/woman? (shrink)

The on-the-ground case conference at the interface of philosophical ethics and clinical psychiatry is an innovative idea that advances pedagogy in presenting a creative approach to teaching and practicing psychiatric ethics. In the current exercise of the proposed partnership, there was a generally positive outcome. The philosopher and the psychiatrist learned from each other, were able to find norms that made their collaboration productive, and found that clinical care was enhanced. My commentary aims to help others replicate this (...) model, and preserve its virtues without its vulnerabilities.Would a mathematical logician or philosopher of aesthetics be as good of a collaborator as a moral philosopher? Probably not.... (shrink)

The Handbook of Computational Social Science is a comprehensive reference source for scholars across multiple disciplines. It outlines key debates in the field, showcasing novel statistical modeling and machine learning methods, and draws from specific case studies to demonstrate the opportunities and challenges in CSS approaches. The Handbook is divided into two volumes written by outstanding, internationally renowned scholars in the field. This first volume focuses on the scope of computational social science, ethics, and case studies. It covers a (...) range of key issues, including open science, formal modeling, and the social and behavioral sciences. This volume explores major debates, introduces digital trace data, reviews the changing survey landscape, and presents novel examples of computational social science research on sensing social interaction, social robots, bots, sentiment, manipulation, and extremism in social media. The volume not only makes major contributions to the consolidation of this growing research field, but also encourages growth into new directions. With its broad coverage of perspectives (theoretical, methodological, computational), international scope, and interdisciplinary approach, this important resource is integral reading for advanced undergraduates, postgraduates and researchers engaging with computational methods across the social sciences, as well as those within the scientific and engineering sectors. (shrink)

The nature of moral values has occupied philosophers and educationalists for centuries and a variety of claims have been made about their origin and status. One tradition suggests they may be thoughts in the mind of God; another that they are eternal truths to be reached by rational reflection (much like the truths of mathematics) or alternatively through intuition; another that they are social conventions; and another (from the logical positivists) that they are not verifiable facts but simply the expression (...) of emotional likes and dislikes. Standard introductory texts (e.g., Bowie 2004; Vardy and Grosch 1999) on the subject of ethics rarely mention Darwin or Darwinism (Mepham 2005 is a useful exception) possibly mindful of the fact that the relationship of evolutionary biology to moral questions has had a troublesome history. The effect of this has been that whole generations of moral philosophers have given the biological sciences a wide berth and consequently often remain poorly informed about recent advances in evolutionary thought and the neurosciences. On the other hand, scientists have developed interesting models of the evolution of the moral sentiments and are using new imaging techniques to explore the centres of the brain associated with emotion and motivation, but many have been fearful of committing the naturalistic fallacy and so have steered clear of extrapolating their findings to ethical questions. No one after all wants to be seen to be committing an elementary logical blunder. But in the last 20 years, evolutionary biologists have regained the confidence to explore the implications of evolution for the study of ethics (de Waal 1996; Wilson 1998; Wright 1994; Greene 2003). This paper is designed to encourage those entrusted with the teaching of ethics to be open to the potential of Darwinism as a source of ideas on the origins and status of ethical thought and behaviour. It is also hoped that it will illustrate for science educators the enormous explanatory power inherent in Darwinian thought. (shrink)

At the beginning of the COVID-19 pandemic, high hopes were put on digital contact tracing, using mobile phone apps to record and immediately notify contacts when a user reports as infected. Such apps can now be downloaded in many countries, but as second waves of COVID-19 are raging, these apps are playing a less important role than anticipated. We argue that this is because most countries have opted for app configurations that cannot provide a means of rapidly informing users of (...) likely infections while avoiding too many false positive reports. Mathematical modelling suggests that differently configured apps have the potential to do this. These require, however, that some pseudonymised data be stored on a central server, which privacy advocates have cautioned against. We contend that their influential arguments are subject to two fallacies. First, they have tended to one-sidedly focus on the risks that centralised data storage entails for privacy, while paying insufficient attention to the fact that inefficient contact tracing involves ethical risks too. Second, while the envisioned system does entail risks of breaches, such risks are also present in decentralised systems, which have been falsely presented as ‘privacy preserving by design’. When these points are understood, it becomes clear that we must rethink our approach to digital contact tracing in our fight against COVID-19. There are no data in this work. (shrink)