[Fis] What if consciousness is an Euclidean n-space?

[Gordana Dodig-Crnkovic]

Dear colleagues,

Krassimir makes very important point that I would like to expand on.

It is vital to be aware under which assumption model/theory has been made. One might wish that this be accepted as a fundamental rule among researchers presenting their models – first declare fundamental assumptions (preferably also implicit ones).

Only if we clearly understand the assumptions can we compare different models and approaches. What happens all too often is that this fundamental part is unclear and big discussions are taking place for no reason as theories are built under different assumptions and refer to different domains, have different level of abstraction etc. but they are assumed to somehow give the same results.

For example if we make our models under assumption that light has corpuscular nature, we will see certain classes of phenomena. On the contrary, if we assume that it is a wave, we will see something else.

The same goes even here. We should see the assumptions and ask ourselves:

What does it imply if we assume that consciousness is a continuous function of reflected reality?

What does it imply if assume that consciousness is Euclidean n-space?


With best wishes,
Gordana




_________________________________________________________
Gordana Dodig Crnkovic, Professor of Computer Science
Vice Dean of Graduate Education
Department of Applied IT
Chalmers University of Technology & University of Gothenburg, Sweden
http://www.ait.gu.se/kontaktaoss/personal/gordana-dodig-crnkovic/
School of Innovation, Design and Engineering, Mälardalen University
http://www.mrtc.mdh.se/~gdc/
President of the International Society for Information Studies
http://is4si-2017.org/




From: Fis <fis-bounces at listas.unizar.es<mailto:fis-bounces at listas.unizar.es>> on behalf of Krassimir Markov <markov at foibg.com<mailto:markov at foibg.com>>
Organization: ITHEA
Reply-To: Krassimir Markov <markov at foibg.com<mailto:markov at foibg.com>>
Date: Saturday 26 November 2016 at 18:23
To: FIS <fis at listas.unizar.es<mailto:fis at listas.unizar.es>>
Subject: [Fis] Who may proof that consciousness is an Euclidean n-space ???


Dear FIS colleagues,

I think, it is needed to put discussion on mathematical foundation. Let me remember that:



The Borsuk–Ulam theorem (BUT), states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.

Here, two points on a sphere are called antipodal if they are in exactly opposite directions from the sphere's center.

Formally: if f: S n→ Rn is continuous then there exists an x∈ S n  such that: f( − x ) = f ( x ).

[ https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem ]



Who may proof that consciousness is a  continuous function from reflected reality ???

Who may proof that consciousness is an Euclidean n-space ???

After proving these statements we may think further.



Yes, discussion is interesting but, I am afraid, it is not so scientific.



Friendly regards

Krassimir






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