How can we invent new certain knowledge in a methodical manner? This question stands at the heart of Salomon Maimon's theory of invention. Chikurel argues that Maimon's contribution to the ars inveniendi tradition lies in the methods of invention which he prescribes for mathematics. Influenced by Proclus' commentary on Elements, these methods are applied on examples taken from Euclid's Elements and Data. Centering around methodical invention and scientific genius, Maimon's philosophy is unique in an era glorifying the artistic genius, known as Geniezeit. Invention, primarily defined as constructing syllogisms, has implications on the notion of being given in intuition as well as in symbolic cognition. Chikurel introduces Maimon's notion of analysis in the broader sense, grounded not only on the principle of contradiction but on intuition as well. In philosophy, ampliative analysis is based on Maimon's logical term of analysis of the object, a term that has yet to be discussed in Maimonian scholarship. Following its introduction, a new version of the question quid juris? arises. In mathematics, Chikurel demonstrates how this conception of analysis originates from practices of Greek geometrical analysis.

This volume makes available to the modern reader selected writings of Thomas Taylor, the eighteenth-century English Platonist. TO Taylor we are indebted for the first full translation into English of Plato and Aristotle. Platonism, as Taylor saw it, was an informing principle, transmitted through a "golden chain of philosophers," a doctrine received by Socrates and Plato from the Orphic and Pythagorean past and transmitted to the future. It emerged again and again, enriched in the School of Alexandria, in Renaissance art, in the works of Spenser, Shelley, Yeats. Kathleen Raine is well known as a poet. GEorge Mills Harper is Professor of English, University of Florida. Bollingen Series LXXXVIII. Originally published in 1969. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.