Gottlob Freges Grundgesetze der Arithmetik, or Basic Laws of Arithmetic, was intended to be his magnum opus, the book in which he would finally establish his logicist philosophy of arithmetic. But because of the disaster of Russells Paradox, which undermined Freges proofs, the more mathematical parts of the book have rarely been read. Richard G. Heck, Jr., aims to change that, and establish it as a neglected masterpiece that must be placed at thecenter of Freges philosophy.Part I of Reading Freges Grundgesetze develops an interpretation of the philosophy of logic that informs Grundgesetze, paying especially close attention to the difficult sections of Freges book in which he discusses his notorious Basic Law V and attempts to secure its status as a law of logic. Part II examines the mathematical basis of Freges logicism, explaining and exploring Freges formal arguments. Heck argues that Frege himself knew that his proofs could bereconstructed so as to avoid Russells Paradox, and presents Freges arguments in a way that makes them available to a wide audience. He shows, by example, that careful attention to the structure of Freges arguments, to what he proved, to how he proved it, and even to what he tried to prove but could not, has much to teach usabout Freges philosophy.
- Publication Date:
- 29 / 11 / 2012