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Gottlob Frege's 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 Russell's Paradox, which undermined Frege's 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 the center of Frege's philosophy.
Part I of Reading Frege's Grundgesetze develops an interpretation of the philosophy of logic that informs Grundgesetze, paying especially close attention to the difficult sections of Frege's 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 Frege's logicism, explaining and exploring Frege's formal arguments. Heck argues that Frege himself knew that his proofs could be reconstructed so as to avoid Russell's Paradox, and presents Frege's arguments in a way that makes them available to a wide audience. He shows, by example, that careful attention to the structure of Frege's 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 us about Frege's philosophy.
- Sales Rank: #2861916 in Books
- Published on: 2015-10-01
- Released on: 2015-10-01
- Original language: English
- Number of items: 1
- Dimensions: 6.10" h x .70" w x 9.10" l, .0 pounds
- Binding: Paperback
- 320 pages
Review
"Richard G. Heck's Reading Frege's Grundgesetze is a fantastic addition to the growing research that focuses primarily on Frege's Grundgesetze der Arithmetik. In fact, it is a must-read for any Frege scholar, or more broadly any philosopher interested in early analytic philosophy and logicians as well as mathematicians interested in the history of their field." --Philosophia Mathematica
About the Author
Richard G. Heck, Jr., Brown University
Richard G. Heck, Jr., is Romeo Elton Professor of Natural Theology at Brown University, where he has taught since 2005. He taught at Harvard University from 1991 through 2005 and was educated at the Massachusetts Institute of Technology, from which he received his PhD in 1991; at New College, Oxford (BPhil, 1987), where he was a Marshall Scholar; and at Duke University (BS, 1985). Professor Heck has worked on the philosophies of language, logic, mathematics, and mind, and is is one of the world's foremost experts on the philosophy of Gottlob Frege. He lives in Canton, Massachusetts, with his wife, daughter, and five cats.
Most helpful customer reviews
0 of 2 people found the following review helpful.
Magisterial
By Flash Sheridan
I’ve been eagerly (though sporadically) reading this work, so far up to chapter 9. The publication of the translation of the _Grundgesetze_ itself has sidetracked me temporarily, but Amazon’s robots have been nagging me to review this on the grounds that no-one else has done so. So I’ll note the obvious, that this is a magisterial work of enormous benefit to anyone who is, or will be, reading one of the greatest achievements of the human intellect, and I’m outraged at the academic(s) who delayed it by telling Professor Heck that he wouldn’t get tenure if he worked on Frege. [footnote three of preface]
����Much as I’m enjoying it, I do have a few presentational quibbles. The general comment is that I would have appreciated more foreshadowing; sometimes when the author makes a comment about the point to a proof I’ve just struggled through, I would have liked to know the point before the struggle, e.g., at the end of �6.7, and the top of p. 222. Slightly more substantively (but only slightly), the elucidation of (56) on p. 147 is in a slightly different order from the formula elucidated, transposing two conjuncts in the middle line. I’d also suggest the following index entries:
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