Hypercomputation.info

Joachim Lambek wrote an interesting paper entitled "How to Program an Infinite Abacus" which was published in the Canadian Mathematical Bulletin . Unfortunately, this paper is currently not available in any form. For the benefit of all those people who might like to have a look at this paper, I have prepared a transcription of this paper which is available here .

The " Science and Philosophy of Unconventional Computing " (SPUC09) conference will take place in Cambridge,UK, March 23-25, 2009. People interested in either attending or presenting their own work should consult the conference's web page.

Recently, "someone" posted a review of my book on hypercomputation on the Brains site. The reviewer argues that This area is full of problems, some of which are physico/mathematical and some of which are conceptual. Unfortunately, from a quick sample, Syropolous's book does not avoid common mistakes and confusions—some of which I've been trying to correct in my own work. First of all, I have to admit that back in 2004 I read a paper by this reviewer, but at that time I did not considered it interesting. However, after I read this review of my book, I read The Physical Church-Turing Thesis: Modest or Bold? , the reviewer's latest manuscript, in order to see what he meant by common mistakes and confusions and how he was trying to solve them. In this manuscript, the reviewer puts forth a number of criteria that every machine has to satisfy in order to be ``useful for physical computing.'' These criteria are: Readable Inputs and Outputs Process-Independ