Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle’s mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology and the philosophy of nature. Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the universe, (...) surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address ‘problems’ that Aristotle posed but couldn’t answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics. (shrink)

Within the rough ground that is the field of education there is a complex web of ethical obligations: to prepare our students for their future work; to be ethical as educators in our conduct and teaching; to the ethical principles embedded in the contexts in which we work; and given the Southern context of this work, the ethical obligations we have to this land and its First Peoples. We put out a call to colleagues whose work has been concerned with (...) the pedagogies of professional ethics, the ethical burdens of institutional injustice, and the application of ethical theory to education’s applied fields. In the responses we received it can be seen that ethical concerns in education are broad ranging, covering terrain varying from the preparation of preservice teachers, ethics in higher education, early childhood and care, educational leadership, relational and communicative ethics. Perhaps it could also be argued that this paper demonstrates Gibbon’s observation that ‘Assumptions about the particularity of this time as new and ripe with opportunity to make a difference through philosophy of education are not new and there’s much to learn from the persistence of wanting to imagine that they are’. However, while the field of ethics is perennially concerned with human relations and pedagogical interventions to improve these, the responses collected here show that educational ethics is far from static. Educational ethics is a field that continues to develop in response to changing contexts. (shrink)

The Greek mathematician Diophantos of Alexandria lived during the third century CE. Apart from his age, very little else is known about his life. Even the exact form of his name is uncertain, and only a few incomplete manuscripts of his greatest work, Arithmetica, have survived. In this impressive scholarly investigation, first published in 1885, Thomas Little Heath meticulously presents what can be gleaned from Greek, Latin and Arabic sources, and guides the reader through the algebraist's idiosyncratic style of mathematics, (...) discussing his notation and originality. This was the first thorough survey of Diophantos' work to appear in English. Also reissued in this series are Heath's two-volume History of Greek Mathematics, his treatment of Greek astronomy through the work of Aristarchus of Samos, and his edition in modern notation of the Treatise on Conic Sections by Apollonius of Perga. (shrink)

Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle’s mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology and the philosophy of nature . Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the (...) universe, surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address ‘problems’ that Aristotle posed but couldn’t answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics. (shrink)

Literature on consumer ethics tends to focus on issues within the public sphere, such as the environment, and treats other drivers of consumption decisions, such as family, as non-moral concerns. Consequently, an attitude–behaviour gap is viewed as a straightforward failure by consumers to act ethically. We argue that this is based upon a view of consumer behaviour as linear and unproblematic, and an approach to moral reasoning, arising from a stereotypically masculine understanding of morality, which foregrounds abstract principles. By demonstrating (...) the importance of context to consumption decisions and articulating the impact of caring relationships, we highlight how such decisions are both complex and situated. This is particularly evident for decisions involving the needs of others, as occurs in family life. We argue that the incorporation of care ethics provides both theoretical insights and a more complete account of consumer ethics. This is explored empirically through an investigation of the ethical dilemmas arising from consumption decisions made by mothers of young children. Such decisions juxtapose an ethical consumption orientation with care for one’s child. Therefore, what has been previously considered a failure to act ethically may in fact be the outcome of complex decision making, which involves competing ethical considerations. We discuss the implications of our findings for theory and practice and how this approach to consumer ethics could be applied more widely. (shrink)