David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
I started out as a student of physics, hard-working, interested, but alas, not ‘in love’ with my subject. Then logic struck, and having become interested in this subject for various reasons – including the fascinating personality of my first teacher –, I switched after my candidate’s program, to take two master’s degrees, in mathematics and in philosophy. The beauty of mathematics was clear to me at once, with the amazing power, surprising twists, and indeed the music, of abstract arguments. As our professor of Analysis wrote at the time in our study guide “Mathematics is about the delight in the purity of trains of thought”, and oldfashioned though this phrasing sounded in the revolutionary 1960s, it did resonate with me. Then I had the privilege of being taught set-theoretic topology by a group of brilliant students around De Groot, our leading expert around the time, who worked with Moore’s method of discovering a subject for oneself. Topology unfolded from a few definitions and examples to real theorems that we had to prove ourselves – and the take-home exam took sleepless nights, as it included proving some results from scratch which came from a recent dissertation (as it turned out later). Only at the very end did De Groot appear, to give one lecture on Tychonoff’s Theorem where an application was made of the Axiom of Choice, a sacral act only to be performed by tenured full professors.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Thomas Hofweber (2000). Proof-Theoretic Reduction as a Philosopher's Tool. Erkenntnis 53 (1-2):127-146.
V. F. Hendricks & Hannes Leitgeb (eds.) (2007). Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Raymond M. Smullyan (1992). Gödel's Incompleteness Theorems. Oxford University Press.
Mayumi Mayeda & Kozo Takase (2005). Need for Enforcement of Ethicolegal Education – an Analysis of the Survey of Postgraduate Clinical Trainees. BMC Medical Ethics 6 (1):1-12.
Irina Rotaru (2010). Die ethische Priorität des Außerordentlichen. Studia Phaenomenologica 10:253-269.
Frank Waaldijk (2012). Natural Topology. Brouwer Society.
René Cori (2000). Mathematical Logic: A Course with Exercises. Oxford University Press.
Clive Fletcher (1992). Ethical Issues in the Selection Interview. Journal of Business Ethics 11 (5-6):361-367.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Thomas Glass (1996). On Power Set in Explicit Mathematics. Journal of Symbolic Logic 61 (2):468-489.
Alfred Tarski (1994). Introduction to Logic and to the Methodology of the Deductive Sciences. Oxford University Press.
Added to index2010-12-22
Total downloads67 ( #24,886 of 1,140,125 )
Recent downloads (6 months)5 ( #38,410 of 1,140,125 )
How can I increase my downloads?