This paper concerns the epistemic status of "Hume's principle"--the assertion that for any concepts and , the number of s is the same as the number of s just in case the s and the s are in one-one correspondence. I oppose the view that Hume's principle is a stipulation governing the introduction of a new concept with the thesis that it represents the correct analysis of a concept in use. Frege's derivation of the basic laws of arithmetic from Hume's (...) principle shows our pure arithmetical knowledge to arise out of the most common everyday applications we make of the numbers. The analysis of arithmetical knowledge in terms of Hume's principle ties our conception of number to the interconnections of which our concepts of divided reference are capable; in so doing, it locates the origin of our conception of number in the structure of our conceptual framework. (shrink)

Sir Isaac Newton (1642-1727) left a voluminous legacy of writings. Despite his influence on the early modern period, his correspondence, manuscripts, and publications in natural philosophy remain scattered throughout many disparate editions. In this volume, Newton's principal philosophical writings are for the first time collected in a single place. They include excerpts from the Principia and the Opticks, his famous correspondence with Boyle and with Bentley, and his equally significant correspondence with Leibniz, which is often ignored in favor of Leibniz's (...) later debate with Samuel Clarke. Newton's exchanges with Leibniz place their different understandings of natural philosophy in sharp relief. The volume also includes 'De Gravitatione', offered here in a corrected translation, which is crucial for understanding Newton's relation to his great predecessor Descartes. In a historical and philosophical introduction, Andrew Janiak examines Newton's philosophical positions and his relations to canonical figures in early modern philosophy. (shrink)

Kants Metaphysische Anfangsgründe der Naturwissenschaft von 1786 stehen ihrem Anspruch nach zwischen einer transzendentalen Kritik der Vernunft - Kant bereitete zur selben Zeit die in wesentlichen Stücken umgearbeitete zweite Auflage der KrV vor - und der Physik als empirischer Wissenschaft. Die Notwendigkeit einer Reflexion über die Naturwissenschaft verhilft dieser Schrift heute wieder zu systematischer Relevanz, nachdem sie lange Zeit nur aus dem Blickwinkel ihrer Bedeutsamkeit für die empirische Naturwissenschaft betrachtet und infolgedessen allenfalls aus wissenschaftshistorischem Interesse rezipiert wurde.