Computation is treated today as an art, just as Mechanics had been in the Renaissance and the Baroque periods. This basically means that its actual performance is widely recognized and welcome, striking in effect, unexpected, fascinating and also convincing-by-fact, while at the same time the actual methods and procedures are applied rather like recipes. Over time, this gives rise to: 1) a lot of the same, boredom. And 2) to vast disputes around ancient questions on the rôle of technics in the nature of reasoning, intelligence, science.
We want to gain a better insight about the modern theoretical context of these involved topoi, and will start with reading Michael Potter‘s introductory book to the main stances Reason‘s Nearest Kin –Philosophies of Arithmetics from Kant to Carnap, Oxford University Press 2002.
Meetings are held on Wednesdays, 11 am (Swiss Time) via skype, between the CAAD Chair in Zürich and the NUS / ETHZ Future Cities Laboratory in Singapore.
Michael Potter, Reason‘s Nearest Kin – Philosophies of Arithmetics from Kant to Carnap, Oxford University Press 2002.
Wednesday February 22 2012
Chapter O – Introduction
Wednesday February 29 2012
Chapter 1 – Kant
Wednesday March 7 2012
Chapter 2 – Grundlagen
Wednesday March 14 2012
Chapter 3 – Dedekind
Wednesday April 4 2012
Chapter 4 – Frege‘s Account of Classes
Wednesday April 11 2012
Chapter 5 – Russell‘s Account of Classes
Wednesday April 18 2012
Chapter 6 – The Tractatus
Wednesday May 2 2012
Chapter 7 – The Second Edition of Principia
Wednesday May 9 2012
RECAP chapters 1-7
Wednesday May 16 2012
Chapter 8 – Ramsey
Tuesday May 22 2012
Chapter 9 – Hilbert‘s Programme
Tuesday May 29 2012
Chapter 10 – Gödel
Tuesday June 5 2012
Chapter 11 – Carnap
Tuesday June 12 2012
Chapter 12 – Conclusion
Elective reading suggestions
on Dedekind‘s notion of numerical ideality and the rôle of abstraction therein
Richard Dedekind, Essays on the Theory of Numbers, transl. by Wooster Woodruff Beman, Project Gutenberg, released 2007.
Erich H. Reck, “Dedekind’s Contributions to the Foundations of Mathematics”, The Stanford Encyclopedia of Philosophy (Fall 2011 Edition), edited by Edward N. Zalta.
Erich H. Reck, “Dedekind, Structural Reasoning, and Mathematical Understanding” in: New Perspectives on Mathematical Practices, B. van Kerkhove, ed., Singapore: WSPC Press, 2009, pp. 150-173.
W.W. Tait, “Frege versus Cantor and Dedekind: On the Concept of Number” in Frege: Importance and Legacy, M. Schirn, ed., de Gruyter: Berlin, pp. 70– 113.
Sephorah Mangin, “Dedekind Abstraction and the ‘Free Creation’ of the Natural Numbers”, online: http://www.sephorahmangin.info/selected_essays/ Dedekind_Abstraction.pdf
Vera Bühlmann, “Continuing the Dedekind Legacy today: Some ideas concerning architectonic computation” paper delivered at Turing 2012: International Conference on Philosophy, Artificial Intelligence and Cognitive Science at the De la Salle University in Manila, Philippines, March 27-28 2012.