An understanding of the relationship between metaphysics and natural philosophy - or, as we might now say, between philosophy and science - is fundamental to understanding the rise of the "new science" of the seventeenth century. Twentieth-century scholarship on this relationship has been dominated by the thoughbt of Ernst Cassirer, E. A. Burtt, A. N. Whitehead, and Alexandre Koyre. These authors found a common core in the mathematization of nature, which they ascribed to a common Platonic or Pythagorean metaphysical presupposition, (...) on the part of Copernicus, Kepler, Galileo, and Descartes, that the book of nature is written in mathematical characters. Taking Burtt as its primary stalking horse, this chapter challenges this view by finding significant differences in the relations to metaphysics of major actors such as those just named. It does this in part by recognizing that, in the seventeenth century, metaphysics was an intellectual practice that one engaged in wittingly. By contrast, Burtt adopted a historiographical approach in which metaphysics consists of the nonempirical presupposition of an age (a position advanced by R. G. Collingwood). That approach, although valid within its limits, distorts or omits from consideration the witting practice of metaphysics by figures such as Kepler and Descartes. And it makes metaphysicians of Copernicus and Galileo, who are better classified as a mathematical astronomer and a mathematical natural philosopher and writer on astronomy. The chapter ends with some reflections on purportedly aphilosophical history of science. (shrink)

'Mr Bennett, as was to be expected, has written a first-rate book on Kant's Analytic. It is vivid, entertaining, and extremely instructive. It will be found of absorbing interest both by those who already know the Critique and by those - if there are any such - who have a developed interest in philosophy, yet no direct acquaintance with Kant. These last it will surely drive to the text and, as surely, will drive them to approach it in a truly (...) philosophical spirit. Bennett's Kant is not a giant immersed, or frozen, in time. He is a great contemporary - a little out of touch, admittedly, with recent developments in mathematics and physics - but one with whom we can all argue, against him, at his side, or obliquely to him. And so Bennett does argue, continuously, fiercely, and fruitfully; and summons to join in the argument, at appropriate moments, those older contemporaries, Locke, Leibniz, Berkeley, and Hume, and those younger contemporaries, Wittgenstein, Ryle, Ayler, Quine, Quinton, Warnock, and others. This is splendid, and a necessary corrective to that extraordinary isolation in which Kant tends to be islanded, partly indeed, by his own unique qualities, but partly by oceans of the wrong kind of respect. Bennett, continuously engaging his great antagonist, shows the right kind.'. (shrink)

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method (...) of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge. (shrink)

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method (...) of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge. (shrink)

The problem of Descartes.--The method of Descartes.--The metaphysics of Descartes.--The Cartesian principles in Spinoza and Leibniz.--The Cartesian principles in Locke.--Hume's criticism of the Cartesian principles.--The transition to Kant.

überall einen richtigen Gebrauch der reinen Vernunft giebt, in welchem Fall es auch einen Canon derselben geben muß, so wird dieser nicht den speculativen, sondernden pr.ntischen Vernunftgebrauch betreffen, den wir also iezt ...

Gary Hatfield examines theories of spatial perception from the seventeenth to the nineteenth century and provides a detailed analysis of the works of Kant and Helmholtz, who adopted opposing stances on whether central questions about spatial perception were fully amenable to natural-scientific treatment. At stake were the proper understanding of the relationships among sensation, perception, and experience, and the proper methodological framework for investigating the mental activities of judgment, understanding, and reason issues which remain at the core of philosophical psychology (...) and cognitive science. (shrink)

ONE Introduction Rene Descartes is, in many ways, a victim of his own success as a philosopher. He notoriously wrote a small number of readily accessible, ...

This comprehensive history of German philosophy from its medieval beginnings to near the end of the eighteenth century explores the spirit of German intellectual life and its distinctiveness from that of other countries. Beck devotes whole chapters to four great philosophers -- Nicholas of Cusa, Leibniz, Lessing, and Kant -- and extensively examines many others, including Albertus Magnus, Meister Eckhart, Paracelsus, Kepler, Mendelssohn, Wolff, and Herder. Questioning explanations of philosophy by the racial or ethnic character of its exponents, Beck's conclusion (...) is that German philosophy developed as a series of diverse responses to the historical experiences of the German people. The peculiarities of German philosophy must be viewed in the light of German political problems and educational structures. In particular he stresses the importance of the connections between philosophy and Germany's intellectual, literary, religious, and political history. (shrink)

This influential 1888 publication explained the real numbers, and their construction and properties, from first principles.

In this new book, Michael Friedman argues that Kant's continuing efforts to find a metaphysics that could provide a foundation for the sciences is of the utmost ...

Principles of Philosophy was written in Latin by Rene Descartes. Published in 1644, it was intended to replace Aristotle's philosophy and traditional Scholastic Philosophy. This volume contains a letter of the author to the French translator of the Principles of Philosophy serving for a Preface and a letter to the most serene princess, Elizabeth, eldest daughter of Frederick, King of Bohemia, Count Palatine, and Elector of the Sacred Roman Empire. Principes de philosophie, by Claude Picot, under the supervision of Descartes, (...) appeared in 1647 with a letter-preface to Queen Christina of Sweden. (shrink)

This edition includes new essays by philosopher Michael Williams and literary scholar David Bromwich, as well as Rorty's previously unpublished essay "The ...

During the 1630s Descartes recognized that he could not expect all legitimate claims in natural science to meet the standard of absolute certainty. The realization resulted from a change in his physics, which itself arose not through methodological reflections, but through developments in his substantive metaphysical doctrines. Descartes discovered the metaphysical foundations of his physics in 1629-30; as a consequence, the style of explanation employed in his physical writings changed. His early methodological conceptions, as preserved in the Rules and sketched (...) in Part Two of the Discourse, pertained primarily to his early work in optics. By the early 1630s, Descartes was concerned with new methodological problems pertaining to the postulation of micro-mechanisms. Recognition of the need to employ a method of hypothesis led him to lower the standard of certainty required of particular explanations in his mature physics. (shrink)

Descartes was both metaphysician and natural philosopher. He used his metaphysics to ground portions of his physics. However, as should be a commonplace but is not, he did not think he could spin all of his physics out of his metaphysics a priori, and in fact he both emphasized the need for appeals to experience in his methodological remarks on philosophizing about nature and constantly appealed to experience in describing his own philosophy of nature. During the 1630s, he offered empirical (...) support for the basic principles of his natural philosophy, while also promising to provide a metaphysical justification. He offered the metaphysical justification in the Meditations and Principles. and claimed absolute certainty for it. At the same time, he recognized that the particular postulated mechanisms of his natural philosophy did not reach that standard of certainty. These mechanisms were supported by empirical testing or confirming of causes through observed effects. (shrink)