Tag: Douglas Hofstadter
Turing versus Rosenberg
Perhaps this would be better on my book review site, but it’s really a question of science, prompted by reading the challenging The Atheist’s Guide to Reality: Enjoying Life without Illusions. My issue with the book is not atheism but the essential claim of the author – Alex Rosenberg – that human beings cannot reason…
Gödel, Escher, Bach
Eternal is the right word. Finally finished Godel, Escher, Bach – click the link above to read my review.
A (partial) answer to my Goedelian conundrum?
Last week I puzzled over what seemed to me to be the hand waiving dismissal, by both Alan Turing and Douglas Hofstadter of what I saw as the problem of humans being able to write true statements that the formal systems employed by computers could not determine – the problem thrown up by Goedel’s Incompleteness…
Turing, Hofstadter, Bach – with some Cherla thrown in
A few weeks ago I attended the morning (I had to go back to work in the afternoon) of the BCS doctoral consortium in Covent Garden in London – watching various PhD students present their work to audience of peers. The presentation which most interested me was that of Srikanth Cherla who is researching connectionist…
Some notes on Hofstadter’s Typographical Number Theory
In Godel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter outlines his axiomatic “Typographical Number Theory” and sets certain problems for the reader – one is to show that b (a variable) is a power of 2. These are my notes in trying to demonstrate this (hopefully understandable to anyone who knows a bit of…
How I discovered the fundamental theorem of arithmetic by chance
Actually, of course, I rediscovered it. I have been attempting to read, for the third time Douglas Hofstadter‘s celebrated Godel, Escher, Bach: I bought a copy in Washington DC in 2009 and loved it (though didn’t get very far before I put it down for some reason) but I have always struggled to get deeply…