Essays on Gödel's Reception of Leibniz, Husserl, and Brouwer (Logic, Epistemology, and the Unity of Science)
| Author | : | |
| Rating | : | 4.41 (651 Votes) |
| Asin | : | 3319100300 |
| Format Type | : | paperback |
| Number of Pages | : | 328 Pages |
| Publish Date | : | 2016-03-26 |
| Language | : | English |
DESCRIPTION:
great fit philosophy and mathematics Kajetan Interesting design of content, great fit philosophy and mathematics.
His research interests are philosophy of mathematics and idealism.. Mark van Atten is senior researcher at the Centre national de la recherche scientifique in France
The fourth addresses the question whether classical mathematics admits of the phenomenological foundation that Gödel envisaged, and concludes that it does not.The remaining essays provide further context. The essays collected here were written and published over the last decade. The second studies Gödel's reading of Husserl, its relation to Leibniz' monadology, and its influence on his published writings. The first analyses and criticises Gödel's attempt to justify, by an argument from analogy with the monadology, the reflection principle in set theory. It also provides further support for Gödel's idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found mathematics directly. Notes have been added to record further thoughts, changes of mind, connections between the essays, and updates of references.. The philosophies of Leibniz and Husserl define his project, while Brouwer's intuitionism is its principal foil: the close affinities between phenomenology and intuitionism set the bar for Gödel's attempt to go far beyond intuitionism.The four central essays are `Monads and sets', `On the philosophical development of Kurt Gödel', `Gödel and intuitionism', and `Construction and constitut
… The book will be a classic, worth returning to time and again.” (M. … reader is strongly recommended to take up this detailed examination of Gödel’s selective reading in logic-related branches of phenomenological philosophy, as much for the questions it provokes as its detailed authoritative analysis of historical-philosophical themes.” (Dale Jacquette, Phenomenological Reviews, reviews.ophen, April, 2016)“If van Atten is right on this, and he sets out a strong case for it, then the combination of Gödel’s ideas and phenomenology was still born.” (Prof. Hartimo, History and Philosophy of Logic, October, 2015)“This book is a beautiful example of genuine Gödel scholarship by an author who is quite rightly recognized as an authority in the field, and thus