-------- Messaggio inoltrato --------
Da: James Peters  james.pete...@umanitoba.ca A:  tozziart...@libero.it Cc: 
James Peters  james.pete...@umanitoba.ca Data: mercoledì, 07 dicembre 2016, 
01:37PM +01:00
Oggetto: about consciousness an Euclidean n-space

>Dear Arturo and All in this great discusssion,
>Good morning from a snowy corner of our local Manitoba neighbourhood.   During 
>the
>past 24 hours, more than 30 cm of snow have fallen from the sky.   During most 
>of the
>time that the snow was falling to the ground, we had fairly high wind.  In 
>effect, we had
>a minor blizzard, here.  The result is an incredible display of snow shapes. 
>
>The passage of the swirling snow flakes during our blizzard is analogous to 
>what Hermann
>Weyl calls a world canal.   A system of particles moving through space sweep 
>out a world
>canal (H. Weyl, Space. Time. Matter [Raum.  Zeit.  Materie], 1917, pp. 
>268-269).  In addition
>to the geometry for this spacetime structure, Weyl gives his perceptive 
>description of the
>history of a system of moving particles.   His mathematics is intensive and 
>his evocation of
>a perception of this spacetime structure is equally intensive.   And the 
>history of swirling snowflakes
>during their passage from the overhead sky to the ground is analogous to 
>Weyl's peception
>of a world canal.
>
>My suggestion for moving this discussion forward is to couple epistemological 
>constructs with
>spacetime (physical) constructs.   That will help ground our discussion of 
>natural phenomena
>and human perceptions.
>
>Best,
>Jim
>
>------------------------------------------------------------------------
>James F. Peters, Professor
>Computational Intelligence Laboratory, ECE Department
>Room E2-390 EITC Complex, 75 Chancellor's Circle
>University of Manitoba, Winnipeg, MB  R3T 5V6 Canada
>Office: 204 474 9603   Fax: 204 261 4639
>email:  james.pete...@ad.umanitoba.ca
>https://www.researchgate.net/profile/James_Peters/?ev=hdr_xprf
>________________________________________
>From: Fis [fis-boun...@listas.unizar.es] on behalf of  tozziart...@libero.it 
>[tozziart...@libero.it]
>Sent: December 6, 2016 4:17 AM
>To: Jerry LR Chandler;  fis@listas.unizar.es
>Subject: [Fis] R: Re: Who may proof that consciousness is an Euclidean n-space 
>???
>
>Dear Jerry,
>thanks a lot for your interesting comments.
>I like very much the logical approach, a topic that is generally dispised by 
>scientists for its intrinsic difficulty.
>We also published something about logic and brain (currently under review), 
>therefore we keep it in high consideration:
>http://biorxiv.org/content/early/2016/11/15/087874
>
>However, there is a severe problem that prevents logic in order to be useful 
>in the description of scientific theories, explanans/explanandum, and so on.  
>The severe problem has been raised by three foremost discoveries in the last 
>century: quantum entanglement, nonlinear dynamics and quantistic vacuum.
>Quantum entanglement, although experimentally proofed by countless scientific 
>procedures,  is against any common sense and any possibliity of logical 
>inquiry.  The concepts of locality and of cause/effect disappear in front of 
>the puzzling phenomenon of quantum entanglement, which is intractable in terms 
>of logic, neither using the successful and advanced approaches of Lesniewski- 
>Tarski, nor Zermelo-Fraenkel's.
>The same stands for nonlinear chaotic phenomena, widespread in nature, from 
>pile sands, to bird flocks and  to brain function. When biforcations occur in 
>logistic plots and chaotic behaviours take place, the final systems' ouputs 
>are not anymore causally predictable.
>Quantistic vacuum predicts particles or fields interactions occurring through 
>breaks in CPT symmetries: this means that, illogically,  the arrow of the time 
>can be reverted (!!!!!) in quantistic systems.
>
>Therefore (and I'm sorry for that), the explanatory role of logic in 
>scientific theories is definitely lost.
>Here we are talking about brain: pay attention, I'm not saying that the brain 
>function obeys to quantum behaviours (I do not agree with the accounts by, for 
>example, Roger Penrose or Vitiello/Freeman).  I'm just saying that, because 
>basic phenomena underlying our physical and biological environment display 
>chaotic behaviours and quantistic mechanisms that go against logic, therefore 
>the logic, in general, cannot be anymore useful in the description of our 
>world.
>I'm sad about that, but that's all.
>
>P.S.: A topological approach talks instead of projections and mappings from 
>one level to another, therefore it does not talk about causality or time and 
>displays a more general explanatory power.   But this is another topic...
>
>
>
>
>
>Arturo Tozzi
>
>AA Professor Physics, University North Texas
>
>Pediatrician ASL Na2Nord, Italy
>
>Comput Intell Lab, University Manitoba
>
>http://arturotozzi.webnode.it/
>
>
>----Messaggio originale----
>Da: "Jerry LR Chandler" < jerry_lr_chand...@icloud.com >
>Data: 05/12/2016 0.50
>A: "fis"< fis@listas.unizar.es >
>Cc: < tozziart...@libero.it >
>Ogg: Re: [Fis] Who may proof that consciousness is an Euclidean n-space ???
>
>FISers:
>
>This is just a short note to communicate about two matters of substantial 
>importance with respect to foundational issues.
>
>Several contributors to this list serve have proposed a relationship between 
>phenomena and biological structures / processes and mathematics. Perhaps of 
>greatest interest have been the informational assertions seeking to relate 
>mind / consciousness / brain to either traditional mathematical forms and/or 
>Shannon information theory (with barely a mention of either the semiotic or 
>empirical necessities).
>
>A common scientific flaw inhabits these several proposals. In my view, this 
>common flaw is the absence of the relationships between scientific causality 
>and mathematical symbols that are necessary to meet the logic of Lesniewski / 
>Tarski, that is, a method to valid the proposed methods of representations. 
>(Krassimir’s post touched these concerns lightly.)
>
>While it is possible to cite hundreds (if not thousands) of texts that seek to 
>relate scientific phenomenon with causality, one  well-written account  
>addresses the logical relations between scientific laws and the antecedent 
>causes that generate consequences of importance for the study of the 
>information sciences.  see:
>
>Studies in the Logic of Explanation
>
>Carl G. Hempel; Paul Oppenheim
>
>http://www.sfu.ca/~jillmc/Hempel%20and%20Oppenheim.pdf
>
> I would like to emphasis that scientific inquiry necessarily requires the use 
>of multiple symbol systems and hence intrinsically depends on the symbols used 
>to express scientific laws.
>
>
>The second issue is relates to the various philosophical perspectives that are 
>related to information theory.
>The web site
>
>http://www.informationphilosopher.com/solutions/philosophers/bois-reymond/
>
>present the views on numerous philosophers (see list below) AS WELL AS 
>critical perspectives from a physical viewpoint.
>
>If time permits, I will add to this post in the coming week.
>
>Cheers
>
>Jerry
>
>Philosophers
>
>Mortimer 
>Adler<http://www.informationphilosopher.com/solutions/philosophers/adler/>
>Rogers 
>Albritton<http://www.informationphilosopher.com/solutions/philosophers/albritton/>
>Alexander of 
>Aphrodisias<http://www.informationphilosopher.com/solutions/philosophers/alexander/>
>Samuel 
>Alexander<http://www.informationphilosopher.com/solutions/philosophers/alexanders/>
>William 
>Alston<http://www.informationphilosopher.com/solutions/philosophers/alston/>
>G.E.M.Anscombe<http://www.informationphilosopher.com/solutions/philosophers/anscombe/>
>Anselm<http://www.informationphilosopher.com/solutions/philosophers/anselm/>
>Louise 
>Antony<http://www.informationphilosopher.com/solutions/philosophers/antony/>
>Thomas 
>Aquinas<http://www.informationphilosopher.com/solutions/philosophers/aquinas/>
>Aristotle<http://www.informationphilosopher.com/solutions/philosophers/aristotle/>
>David 
>Armstrong<http://www.informationphilosopher.com/knowledge/philosophers/armstrong/>
>Harald 
>Atmanspacher<http://www.informationphilosopher.com/solutions/philosophers/atmanspacher/>
>Robert Audi<http://www.informationphilosopher.com/knowledge/philosophers/audi/>
>Augustine<http://www.informationphilosopher.com/solutions/philosophers/augustine/>
>J.L.Austin<http://www.informationphilosopher.com/solutions/philosophers/austin/>
>A.J.Ayer<http://www.informationphilosopher.com/solutions/philosophers/ayer/>
>Alexander 
>Bain<http://www.informationphilosopher.com/solutions/philosophers/bain/>
>Mark 
>Balaguer<http://www.informationphilosopher.com/solutions/philosophers/balaguer/>
>Jeffrey 
>Barrett<http://www.informationphilosopher.com/solutions/philosophers/barrett/>
>William 
>Belsham<http://www.informationphilosopher.com/solutions/philosophers/belsham/>
>Henri 
>Bergson<http://www.informationphilosopher.com/solutions/philosophers/bergson/>
>Isaiah 
>Berlin<http://www.informationphilosopher.com/solutions/philosophers/berlin/>
>Bernard 
>Berofsky<http://www.informationphilosopher.com/solutions/philosophers/berofsky/>
>Robert 
>Bishop<http://www.informationphilosopher.com/knowledge/philosophers/bishop/>
>Max Black<http://www.informationphilosopher.com/solutions/philosophers/black/>
>Susanne 
>Bobzien<http://www.informationphilosopher.com/solutions/philosophers/bobzien/>
>Emil du 
>Bois-Reymond<http://www.informationphilosopher.com/solutions/philosophers/bois-reymond/>
>Hilary Bok<http://www.informationphilosopher.com/solutions/philosophers/bok/>
>Laurence 
>BonJour<http://www.informationphilosopher.com/knowledge/philosophers/bonjour/>
>George 
>Boole<http://www.informationphilosopher.com/solutions/philosophers/boole/>
>Émile 
>Boutroux<http://www.informationphilosopher.com/solutions/philosophers/boutroux/>
>F.H.Bradley<http://www.informationphilosopher.com/solutions/philosophers/bradley/>
>C.D.Broad<http://www.informationphilosopher.com/solutions/philosophers/broad/>
>Michael 
>Burke<http://www.informationphilosopher.com/solutions/philosophers/burke/>
>C.A.Campbell<http://www.informationphilosopher.com/solutions/philosophers/campbell/>
>Joseph Keim 
>Campbell<http://www.informationphilosopher.com/solutions/philosophers/campbellj/>
>Rudolf 
>Carnap<http://www.informationphilosopher.com/solutions/philosophers/carnap/>
>Carneades<http://www.informationphilosopher.com/solutions/philosophers/carneades/>
>Ernst 
>Cassirer<http://www.informationphilosopher.com/solutions/philosophers/cassirer/>
>David 
>Chalmers<http://www.informationphilosopher.com/solutions/philosophers/chalmers/>
>Roderick 
>Chisholm<http://www.informationphilosopher.com/solutions/philosophers/chisholm/>
>Chrysippus<http://www.informationphilosopher.com/solutions/philosophers/chrysippus/>
>Cicero<http://www.informationphilosopher.com/solutions/philosophers/Cicero/>
>Randolph 
>Clarke<http://www.informationphilosopher.com/solutions/philosophers/clarke/>
>Samuel 
>Clarke<http://www.informationphilosopher.com/solutions/philosophers/clarkes/>
>Anthony 
>Collins<http://www.informationphilosopher.com/solutions/philosophers/collins/>
>Antonella 
>Corradini<http://www.informationphilosopher.com/solutions/philosophers/corradini/>
>Diodorus 
>Cronus<http://www.informationphilosopher.com/solutions/philosophers/diodorus/>
>Jonathan 
>Dancy<http://www.informationphilosopher.com/solutions/philosophers/dancy/>
>Donald 
>Davidson<http://www.informationphilosopher.com/solutions/philosophers/davidson/>
>Mario De 
>Caro<http://www.informationphilosopher.com/solutions/philosophers/decaro/>
>Democritus<http://www.informationphilosopher.com/solutions/philosophers/democritus/>
>Daniel 
>Dennett<http://www.informationphilosopher.com/solutions/philosophers/dennett/>
>Jacques 
>Derrida<http://www.informationphilosopher.com/solutions/philosophers/derrida/>
>René 
>Descartes<http://www.informationphilosopher.com/solutions/philosophers/descartes/>
>Richard 
>Double<http://www.informationphilosopher.com/solutions/philosophers/double/>
>Fred 
>Dretske<http://www.informationphilosopher.com/knowledge/philosophers/dretske/>
>John Dupré<http://www.informationphilosopher.com/knowledge/philosophers/dupre/>
>John 
>Earman<http://www.informationphilosopher.com/solutions/philosophers/earman/>
>Laura Waddell 
>Ekstrom<http://www.informationphilosopher.com/solutions/philosophers/ekstrom/>
>Epictetus<http://www.informationphilosopher.com/solutions/philosophers/epictetus/>
>Epicurus<http://www.informationphilosopher.com/solutions/philosophers/epicurus/>
>Herbert 
>Feigl<http://www.informationphilosopher.com/solutions/philosophers/feigl/>
>John Martin 
>Fischer<http://www.informationphilosopher.com/solutions/philosophers/fischer/>
>Owen 
>Flanagan<http://www.informationphilosopher.com/solutions/philosophers/flanagan/>
>Luciano 
>Floridi<http://www.informationphilosopher.com/solutions/philosophers/floridi/>
>Philippa 
>Foot<http://www.informationphilosopher.com/solutions/philosophers/foot/>
>Alfred 
>Fouilleé<http://www.informationphilosopher.com/solutions/philosophers/fouillee/>
>Harry 
>Frankfurt<http://www.informationphilosopher.com/solutions/philosophers/frankfurt/>
>Richard L. 
>Franklin<http://www.informationphilosopher.com/solutions/philosophers/franklin/>
>Michael 
>Frede<http://www.informationphilosopher.com/solutions/philosophers/frede/>
>Gottlob 
>Frege<http://www.informationphilosopher.com/solutions/philosophers/frege/>
>Peter 
>Geach<http://www.informationphilosopher.com/solutions/philosophers/geach/>
>Edmund 
>Gettier<http://www.informationphilosopher.com/solutions/philosophers/gettier/>
>Carl Ginet<http://www.informationphilosopher.com/solutions/philosophers/ginet/>
>Alvin 
>Goldman<http://www.informationphilosopher.com/knowledge/philosophers/goldman/>
>Gorgias<http://www.informationphilosopher.com/solutions/philosophers/gorgias/>
>Nicholas St. John 
>Green<http://www.informationphilosopher.com/solutions/philosophers/green/>
>H.Paul 
>Grice<http://www.informationphilosopher.com/solutions/philosophers/grice/>
>Ian 
>Hacking<http://www.informationphilosopher.com/solutions/philosophers/hacking/>
>Ishtiyaque 
>Haji<http://www.informationphilosopher.com/solutions/philosophers/haji/>
>Stuart 
>Hampshire<http://www.informationphilosopher.com/solutions/philosophers/hampshire/>
>W.F.R.Hardie<http://www.informationphilosopher.com/solutions/philosophers/hardie/>
>Sam 
>Harris<http://www.informationphilosopher.com/solutions/philosophers/harris/>
>William 
>Hasker<http://www.informationphilosopher.com/solutions/philosophers/hasker/>
>R.M.Hare<http://www.informationphilosopher.com/solutions/philosophers/hare/>
>Georg W.F. 
>Hegel<http://www.informationphilosopher.com/solutions/philosophers/hegel/>
>Martin 
>Heidegger<http://www.informationphilosopher.com/solutions/philosophers/heidegger/>
>R.E.Hobart<http://www.informationphilosopher.com/solutions/philosophers/hobart/>
>Thomas 
>Hobbes<http://www.informationphilosopher.com/solutions/philosophers/hobbes/>
>David 
>Hodgson<http://www.informationphilosopher.com/solutions/philosophers/hodgson/>
>Shadsworth 
>Hodgson<http://www.informationphilosopher.com/solutions/philosophers/hodgsons/>
>Baron 
>d'Holbach<http://www.informationphilosopher.com/solutions/philosophers/dholbach/>
>Ted 
>Honderich<http://www.informationphilosopher.com/solutions/philosophers/honderich/>
>Pamela Huby<http://www.informationphilosopher.com/solutions/philosophers/huby/>
>David Hume<http://www.informationphilosopher.com/solutions/philosophers/hume/>
>Ferenc 
>Huoranszki<http://www.informationphilosopher.com/solutions/philosophers/huoranszki/>
>William 
>James<http://www.informationphilosopher.com/solutions/philosophers/james/>
>Lord Kames<http://www.informationphilosopher.com/solutions/philosophers/kames/>
>Robert Kane<http://www.informationphilosopher.com/solutions/philosophers/kane/>
>Immanuel 
>Kant<http://www.informationphilosopher.com/solutions/philosophers/kant/>
>Tomis 
>Kapitan<http://www.informationphilosopher.com/solutions/philosophers/kapitan/>
>Jaegwon Kim<http://www.informationphilosopher.com/solutions/philosophers/kim/>
>William 
>King<http://www.informationphilosopher.com/solutions/philosophers/king/>
>Hilary 
>Kornblith<http://www.informationphilosopher.com/knowledge/philosophers/kornblith/>
>Christine 
>Korsgaard<http://www.informationphilosopher.com/solutions/philosophers/korsgaard/>
>Saul 
>Kripke<http://www.informationphilosopher.com/solutions/philosophers/kripke/>
>Andrea 
>Lavazza<http://www.informationphilosopher.com/solutions/philosophers/lavazza/>
>Keith 
>Lehrer<http://www.informationphilosopher.com/solutions/philosophers/lehrer/>
>Gottfried 
>Leibniz<http://www.informationphilosopher.com/solutions/philosophers/leibniz/>
>Leucippus<http://www.informationphilosopher.com/solutions/philosophers/leucippus/>
>Michael 
>Levin<http://www.informationphilosopher.com/solutions/philosophers/levin/>
>George Henry 
>Lewes<http://www.informationphilosopher.com/knowledge/philosophers/lewes/>
>C.I.Lewis<http://www.informationphilosopher.com/knowledge/philosophers/lewis/>
>David 
>Lewis<http://www.informationphilosopher.com/solutions/philosophers/lewis/>
>Peter 
>Lipton<http://www.informationphilosopher.com/solutions/philosophers/lipton/>
>John Locke<http://www.informationphilosopher.com/solutions/philosophers/locke/>
>Michael 
>Lockwood<http://www.informationphilosopher.com/solutions/philosophers/lockwood/>
>E. Jonathan 
>Lowe<http://www.informationphilosopher.com/solutions/philosophers/lowe/>
>John R. 
>Lucas<http://www.informationphilosopher.com/solutions/philosophers/lucas/>
>Lucretius<http://www.informationphilosopher.com/solutions/philosophers/lucretius/>
>Ruth Barcan 
>Marcus<http://www.informationphilosopher.com/solutions/philosophers/marcus/>
>James 
>Martineau<http://www.informationphilosopher.com/solutions/philosophers/martineau/>
>Storrs 
>McCall<http://www.informationphilosopher.com/solutions/philosophers/mccall/>
>Hugh 
>McCann<http://www.informationphilosopher.com/solutions/philosophers/mccann/>
>Colin 
>McGinn<http://www.informationphilosopher.com/solutions/philosophers/mcginn/>
>Michael 
>McKenna<http://www.informationphilosopher.com/solutions/philosophers/mckenna/>
>Brian 
>McLaughlin<http://www.informationphilosopher.com/solutions/philosophers/mclaughlin/>
>Paul E. 
>Meehl<http://www.informationphilosopher.com/solutions/philosophers/meehl/>
>Uwe 
>Meixner<http://www.informationphilosopher.com/solutions/philosophers/meixner/>
>Alfred Mele<http://www.informationphilosopher.com/solutions/philosophers/mele/>
>Trenton 
>Merricks<http://www.informationphilosopher.com/solutions/philosophers/merricks/>
>John Stuart 
>Mill<http://www.informationphilosopher.com/solutions/philosophers/mill/>
>Dickinson 
>Miller<http://www.informationphilosopher.com/solutions/philosophers/miller/>
>G.E.Moore<http://www.informationphilosopher.com/solutions/philosophers/moore/>
>C. Lloyd 
>Morgan<http://www.informationphilosopher.com/knowledge/philosophers/morgan/>
>Thomas 
>Nagel<http://www.informationphilosopher.com/solutions/philosophers/nagelt/>
>Friedrich 
>Nietzsche<http://www.informationphilosopher.com/solutions/philosophers/nietzsche/>
>John 
>Norton<http://www.informationphilosopher.com/solutions/philosophers/norton/>
>P.H.Nowell-Smith<http://www.informationphilosopher.com/solutions/philosophers/nowell-smith/>
>Robert 
>Nozick<http://www.informationphilosopher.com/solutions/philosophers/nozick/>
>William of 
>Ockham<http://www.informationphilosopher.com/solutions/philosophers/ockham/>
>Timothy 
>O'Connor<http://www.informationphilosopher.com/solutions/philosophers/oconnor/>
>David F. 
>Pears<http://www.informationphilosopher.com/solutions/philosophers/pears/>
>Charles Sanders 
>Peirce<http://www.informationphilosopher.com/solutions/philosophers/peirce/>
>Derk 
>Pereboom<http://www.informationphilosopher.com/solutions/philosophers/pereboom/>
>Steven 
>Pinker<http://www.informationphilosopher.com/solutions/philosophers/pinker/>
>Plato<http://www.informationphilosopher.com/solutions/philosophers/plato/>
>Karl 
>Popper<http://www.informationphilosopher.com/solutions/philosophers/popper/>
>Porphyry<http://www.informationphilosopher.com/solutions/philosophers/porphyry/>
>Huw Price<http://www.informationphilosopher.com/solutions/philosophers/price/>
>H.A.Prichard<http://www.informationphilosopher.com/solutions/philosophers/prichard/>
>Hilary 
>Putnam<http://www.informationphilosopher.com/solutions/philosophers/putnam/>
>Willard van Orman 
>Quine<http://www.informationphilosopher.com/solutions/philosophers/quine/>
>Frank 
>Ramsey<http://www.informationphilosopher.com/knowledge/philosophers/ramsey/>
>Ayn Rand<http://www.informationphilosopher.com/solutions/philosophers/rand/>
>Michael Rea<http://www.informationphilosopher.com/solutions/philosophers/rea/>
>Thomas Reid<http://www.informationphilosopher.com/solutions/philosophers/reid/>
>Charles 
>Renouvier<http://www.informationphilosopher.com/solutions/philosophers/renouvier/>
>Nicholas 
>Rescher<http://www.informationphilosopher.com/solutions/philosophers/rescher/>
>C.W.Rietdijk<http://www.informationphilosopher.com/solutions/philosophers/rietdijk/>
>Richard 
>Rorty<http://www.informationphilosopher.com/solutions/philosophers/rorty/>
>Josiah 
>Royce<http://www.informationphilosopher.com/solutions/philosophers/royce/>
>Bertrand 
>Russell<http://www.informationphilosopher.com/solutions/philosophers/russell/>
>Paul 
>Russell<http://www.informationphilosopher.com/solutions/philosophers/russellp/>
>Gilbert 
>Ryle<http://www.informationphilosopher.com/solutions/philosophers/ryle/>
>Jean-Paul 
>Sartre<http://www.informationphilosopher.com/solutions/philosophers/sartre/>
>Kenneth 
>Sayre<http://www.informationphilosopher.com/solutions/philosophers/sayre/>
>T.M.Scanlon<http://www.informationphilosopher.com/solutions/philosophers/scanlon/>
>Moritz 
>Schlick<http://www.informationphilosopher.com/solutions/philosophers/schlick/>
>Arthur 
>Schopenhauer<http://www.informationphilosopher.com/solutions/philosophers/schopenhauer/>
>John 
>Searle<http://www.informationphilosopher.com/solutions/philosophers/searle/>
>Wilfrid 
>Sellars<http://www.informationphilosopher.com/solutions/philosophers/sellars/>
>Alan 
>Sidelle<http://www.informationphilosopher.com/solutions/philosophers/sidelle/>
>Ted Sider<http://www.informationphilosopher.com/solutions/philosophers/sider/>
>Henry 
>Sidgwick<http://www.informationphilosopher.com/solutions/philosophers/sidgwick/>
>Walter 
>Sinnott-Armstrong<http://www.informationphilosopher.com/solutions/philosophers/sinnott-armstrong/>
>J.J.C.Smart<http://www.informationphilosopher.com/solutions/philosophers/smart/>
>Saul 
>Smilansky<http://www.informationphilosopher.com/solutions/philosophers/smilansky/>
>Michael 
>Smith<http://www.informationphilosopher.com/solutions/philosophers/smith/>
>Baruch 
>Spinoza<http://www.informationphilosopher.com/solutions/philosophers/spinoza/>
>L. Susan 
>Stebbing<http://www.informationphilosopher.com/solutions/philosophers/stebbing/>
>George F. 
>Stout<http://www.informationphilosopher.com/solutions/philosophers/stout/>
>Galen 
>Strawson<http://www.informationphilosopher.com/solutions/philosophers/strawsong/>
>Peter 
>Strawson<http://www.informationphilosopher.com/solutions/philosophers/strawson/>
>Eleonore 
>Stump<http://www.informationphilosopher.com/solutions/philosophers/stump/>
>Francisco 
>Suárez<http://www.informationphilosopher.com/solutions/philosophers/suarez/>
>Richard 
>Taylor<http://www.informationphilosopher.com/solutions/philosophers/taylorr/>
>Kevin 
>Timpe<http://www.informationphilosopher.com/solutions/philosophers/timpe/>
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>Peter 
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>Peter van 
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>G.H. von 
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>
>
>
>On Nov 26, 2016, at 12:06 PM, tozziart...@libero.it<mailto: 
>tozziart...@libero.it > wrote:
>
>
>Dear Krassimir,
>Thanks a lot for your question, now the discussion will become hotter!
>
>First of all, we never stated that consciousness lies either on a n-sphere or 
>on an Euclidean n-space.
>Indeed, in our framework, consciousness IS the continuous function.
>Such function stands for a gauge field that restores the brain symmetries, 
>broken by sensations.
>Concerning brain and gauge fields, see my PLOS biology paper:
>http://journals.plos.org/plosbiology/article?id=10.1371%2Fjournal.pbio.1002400
>
>When consciousness lacks, the inter-dimensional projections are broken, and 
>the nervous higher functions temporarily disappear.
>
>Concerning the question about which are the manifolds where brain functions 
>lie, it does not matter whether they are spheres, or circles, or concave, or 
>flat structures: we demonstrated that the BUT is valid not just for convex 
>manifolds, but for all the kinds of manifolds.
>See our:
>http://onlinelibrary.wiley.com/doi/10.1002/jnr.23720/abstract?userIsAuthenticated=false&deniedAccessCustomisedMessage
> =
>
>Therefore, even if you think that brain and biological functions are 
>trajectories moving on concave structures towards lesser energetic levels, as 
>suggested by, e.g., Fokker-Planck equations, it does not matter: you may 
>always find the antipodal points with matching description predicted by BUT.
>
>Ciao!
>
>--
>Inviato da Libero Mail per Android
>
>sabato, 26 novembre 2016, 06:23PM +01:00 da Krassimir Markov 
>mar...@foibg.com<mailto: mar...@foibg.com >:
>
>
>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 is continuous then there exists an such that: .
>
>[  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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