Microsoft Store
 

Douglas Hofstadter


 

Published works

Books

The books published by Hofstadter are (the ISBNs refer to paperback editions, where available):

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Papers

Hofstadter wrote, among many others, the following papers:

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

  • "Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields", Phys. Rev. B 14 (1976) 2239.
  • Written while he was at the University of Oregon, this paper was enormously influential in directing further research. Hofstadter predicted that the allowed energy level values of an electron in this crystal lattice, as a function of a magnetic field applied to the system, formed a fractal set. That is, the distribution of energy levels for large scale changes in the applied magnetic field repeat patterns seen in the small scale structure. This fractal structure is generally known as "Hofstadter's butterfly", and has recently been confirmed in transport measurements in two-dimensional electron systems with a superimposed nano-fabricated lattice.
  • "A non-deterministic approach to analogy, involving the Ising model of ferromagnetism", in E. Caianiello (ed.), The Physics of Cognitive Processes. Teaneck, NJ: World Scientific, 1987.
  • "Speechstuff and thoughtstuff: Musings on the resonances created by words and phrases via the subliminal perception of their buried parts", in Sture Allen (ed.), Of Thoughts and Words: The Relation between Language and Mind. Proceedings of the Nobel Symposium 92, London/New Jersey: World Scientific Publ., 1995, 217-267.
  • "On seeing A's and seeing As.", Stanford Humanities Review 4,2 (1995) pp. 109-121.
  • "Analogy as the Core of Cognition", in Dedre Gentner, Keith J. Holyoak, and Boicho N. Kokinov (eds.) The Analogical Mind: Perspectives from Cognitive Science, Cambridge, MA: The MIT Press/Bradford Book, 2001, pp. 499-538.
  • Hofstadter also wrote over 50 papers that were published through the Center for Research on Concepts and Cognition, See http://www.cogsci.indiana.edu/phard.html.

Involvement in other books

Hofstadter wrote forewords for or edited the following books:

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Miscellaneous

  • The film Victim of the Brain was based on Hofstadter's work, and was co-directed by philosopher Daniel Dennett, who co-authored The Mind's I with him.
  • He published an audio CD with piano music composed by himself and performed by Jane Jackson, Brian Jones, Dafna Barenboim, Gitanjali Mathur and himself.