Jean De Groot

Examples are presented of Aristotle’s use of non-idealized mathematics. Distinctions Husserl makes in Crisis help to delineate the features of this empiricalmathematics, which include the non-persistence of mathematical aspects of things and the selective application of mathematical traits and proper accidents. In antiquity, non-abstracted mathematics was involved with practical sciences that treat motion. The suggestion is made that these sciences were incorporated by Aristotle into natural philosophy without first being abstracted as pure mathematics—a state of affairs not envisioned by Husserl, for whom science recast natural ontology by means of the idealization of pure mathematics. The relation of empirical mathematics to life-world ontology is considered.

"This book collects essays by leading scholars, both American and European, on the American understanding of nature from Emerson to Dewey and beyond. The volume features essays on Emerson and Thoreau, Royce, Peirce, Wright, James, Holmes, Tocqueville, and Dewey. Topics include the role of nature in American idealism, the influence of Darwin, naturalism in psychology, and human nature in political thought. The final essay presents a comprehensive taxonomy of views of nature in relation to expressions of nature in American art." "With its focus on philosophy of nature, this book fills a gap in the ongoing reassessment of nineteenth-century American philosophy, and it opens the way to further study of the role played by reflection on nature in the emergence of the American mind."--Jacket.

Originally published in 1991. Philoponus’ long commentary on Aristotle’s definition of light sets up the major concerns, both in optics and theory of light, that is discussed here. Light was of special interest in Neoplatonism because of its being something incorporeal in the world of natural bodies and therefore had a special role in the philosophical analysis of the interpenetration of bodies and also as a paradigm for the soul-body problem. The material investigated in this book contains much about the physiology of vision as well as the propagation of light. Several chapters investigate the philosophical theory and its origins in ‘multiplication of species.’ These issues in the history of science philosophy are looked at further and an analysis is offered of the development of the distinction between Aristotle’s kinesis and energeia. The book covers a substantial amount of the philosophy of mathematical science from the point of view of Philoponus, drawing on more of his works relating to three dimensionality