Keith Douglas' Web Page
| About me | Find out who I am and what I do. |
| My resumé | A copy of my resumé and other documentation about my education and work experience for employers and the curious. |
| Reviews, theses, articles, presentations | A collection of papers from my work, categorized and annotated. |
| Current research projects | What I am currently working on, including some non-research material. |
| Interesting people | People professionally "connected" to me in some way. |
| Interesting organizations | Organizations I am "connected" to. (Some rather loosely.) |
| Intellectual/professional influences | Influences on my work, including an organization chart. Here you can also buy many good books on philosophy and other subjects via amazon.com. I have included brief reviews of hundreds of books. |
| Professional resources | Research sources, amazon.com associates programs, etc. |
| What is the philosophy of computing? | A brief introduction to my primary professional interest. |
| My intellectual heroes | A partial list of important people. Limited to the dead. |
| My educational philosophy | As a sometime teacher I've developed one. Includes book resources. |
Book Influences - Philosophy of Mathematics
|
Title |
Author |
Purchase / Enjoy Cover |
Comment |
| Mathematical Experience | Davis | A curious book, though packed with interesting stuff. | |
| New Directions in the the Philosophy of Mathematics | Tymoczko | This philosophy book also has some more directly mathematical papers in it, though ones with a foundational flavour. | |
| Reflections on Kurt Gödel | Wang | Wang discusses the mathematics and philosophy of his sort-of teacher, Kurt Gödel. | |
| Remarks on the Foundations of Mathematics | Wittgenstein | My own philosophy of mathematics was first articulated in response to this odd and difficult work. It does seem (as many claim) not to fully grasp the Gödelian incompleteness theorems, but this does not affect many of its central concerns. It is, however, odd that W. never uses many examples from mathematics as practiced by mathematicians. That said, it might be rejoined that the foundational works (Russell, etc.) that he's responding to do not either in a different sort of way ... | |
| The Foundations of Arithmetic | Frege | The first classic defense of logicism in arithmetic. Note that this position in the philosophy of mathematics Frege explicitly says does not generalize to other areas, notably geometry. (It is unclear whether he thinks it extends to analysis, say.) | |
| Wittgenstein's Lectures on the Foundations of Mathematics | Wittgenstein, edited by Diamond | I bought this to see what Turing's contribution to the seminar that the book is taken from would be. Shanker has asked why Turing didn't use his "Computable Numbers" work to respond to Wittgenstein here ... I don't see any good reason, myself. |
Finished with this section? Go back to the list of book subjects here.