liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
A note on the principle of mathematical induction, intuition and consciousness in the light of ideas of Poincaré and Galois
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
2001 (English)In: Chaos, Solitons & Fractals, ISSN 0960-0779, Vol. 12, no 11, 2123-2125 p.Article in journal (Refereed) Published
Abstract [en]

In his argumentation for the non-computability of thought-processes (in general) Penrose is invoking Gödel's theorem (see [R. Penrose, Shadows of the Mind - A search for the Missing Science of Consciousness, Oxford University Press, Oxford, 1994]). It is the aim with the following note to indicate that the same effect may be obtained in a simpler and possibly also more fundamental way. This does not necessarily mean that I fully believe in Penrose's thesis - the question is still largely open - but I think that my note indicates that there are a lot of items that remains to be clarified before a satisfactory scientific consensus will be reached. There is a huge gap between the precision of strict scientific contexts and those where this kind of processes are going on. At the same time we will see that the same kind of ideas had been impinging themselves on mathematicians like Poincaré and Galois, like Penrose himself of a very intuitive kind. It is plausible that the solution of the enigma of the scientific character of processes referring back to themselves lies in deep properties of autonomous systems. The self-referential character of the interpretations in Gödel's theorem is quite central. This will be the subject of a forthcoming paper. © 2001 Elsevier Science Ltd.

Place, publisher, year, edition, pages
2001. Vol. 12, no 11, 2123-2125 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-47283DOI: 10.1016/S0960-0779(00)00169-7OAI: diva2:268179
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-13

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Wasén, Rolf
By organisation
The Institute of TechnologyDepartment of Science and Technology
In the same journal
Chaos, Solitons & Fractals
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 28 hits
ReferencesLink to record
Permanent link

Direct link