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RECENT POSTS IN THIS TOPIC

Giovanni Prisinzano: on 3/16/17 at 16:04pm UTC, wrote Dear Gavin, thank you so much for reading my essay, and for your kind...

Gavin Rowland: on 3/16/17 at 10:32am UTC, wrote Dear Giovanni I enjoyed reading your essay, and agree with your...

Giovanni Prisinzano: on 3/14/17 at 10:21am UTC, wrote Dear Vladimir, I thank you so much for your kind interest in my essay and...

Vladimir Rogozhin: on 3/13/17 at 20:28pm UTC, wrote My name is Vladimir Rogozhin

Vladimir Rogozhin: on 3/13/17 at 18:41pm UTC, wrote Dear Giovanni, I read with great interest your deep analytical essay with...

Giovanni Prisinzano: on 3/12/17 at 14:58pm UTC, wrote Dear Lawrence, thank you very much for your further comments! I totally...

Lawrence Crowell: on 3/10/17 at 18:55pm UTC, wrote I had forgotten that I had read your paper in the past. I reread it. I...

Satyavarapu Gupta: on 3/3/17 at 0:51am UTC, wrote Thank you Giovanni Prisinzano, Thank you for posting on my papers page, ...


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FQXi FORUM
March 23, 2017

CATEGORY: Wandering Towards a Goal Essay Contest (2016-2017) [back]
TOPIC: Continuity, discreteness, and the limits of the mathematical representation of what happens by Giovanni Prisinzano [refresh]
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This essay's rating: Community = 4.7; Public = 5.0


Author Giovanni Prisinzano wrote on Feb. 24, 2017 @ 21:45 GMT
Essay Abstract

The essay proposes an approach to the problem of divergence between the domain of the mathematical laws and that of aims and intentions based on the realtionship between reality and information. We show at first that a mathematical representation is possible only for those phenomena about which we have information. We shall then argue that, because of the discreteness of information, all mathematical model of reality must be discrete too. Since the latter includes phenomena such as subjective experiences, but also as motion and change, which we believe happen in a continuous dimension, we affirm that mathematical models cannot describe many of their aspects. Lastly, we suggest a hypothesis about why we have no information on intentionality and consciousness.

Author Bio

Giovanni Prisinzano studied Philosophy at the University and at the Scuola Normale Superiore in Pisa, where he graduated and obtained his Ph.D. He was also temporary research fellow at Munich and Zurich Universities. In recent years he worked on the philosophy of mathematics, and he published a book on this subject.

Download Essay PDF File




Satyavarapu Naga Parameswara Gupta wrote on Feb. 27, 2017 @ 08:11 GMT
Dear Prof Prisinzano,

Thank you for the nice essay on “Reality is discrete and Nice History of Philosophy starting from Pythagoras, Plato, Galileo, Archimedes etc… "

You are observations are excellent, for example…..

1. We shall then argue that, because of the discreteness of information, all mathematical model of reality must be discrete too. Since the latter...

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Satyavarapu Naga Parameswara Gupta replied on Mar. 3, 2017 @ 00:51 GMT
Thank you Giovanni Prisinzano,

Thank you for posting on my papers page,

Thank you for your kind words, I am waiting for your esteemed opinion on this Dynamic Universe model and for your future discussion...

Best Regards

=snp

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Alexander M. Ilyanok wrote on Feb. 27, 2017 @ 08:35 GMT
Dear Giovanni Prisinzano,

I read your essay today, and find that we are in even more agreement than usual. Your idea about “Consciousness is a function that represents itself, but is anincomputable function, in the sense that there is no information about it (information is computable), and we can never derive it from some algorithm” is very interesting.

I hold the view that...

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Author Giovanni Prisinzano replied on Feb. 28, 2017 @ 13:37 GMT
Dear Alexander Ilyanok,

I thank you very much for reading my essay and for your kind comments on it. I share your point of view on metaphysics and the obstacles it has often created for scientific research. I also agree on the fact that no physical theory (including those more established, such as Relativity and Quantum Mechanics) can be considered ultimate explanation of the world.

I will try to learn something about Femtotechnology and your deterministic approach to quantum mechanics, although my knowledge of physics is limited.

My best regards,

Giovanni




Lawrence B. Crowell wrote on Feb. 27, 2017 @ 16:15 GMT
Your paper is entertaining, and you are right in the sense that space and time are model systems. We can't isolate a quantum bit in a region smaller than a Planck length L_p = sqrt{Għ.c^3} or a Planck time T_p = L_p/c. This does not curiously mean that spacetime is gridded or chopped into blocks per se. The Fermi satellite result illustrates the lack of dispersion from burstars billions of light years away means space is continuous nearly 3 orders of magnitude smaller than the Planck length.

In some ways space and time or spacetime are something emergent from mental consciousness. It is an epiphenomenology built up from quantum entanglements, and how we interpret this according to continuous geometry is a matter of our mental model building. It is in some sense a matter of psychology.

Cheers LC

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Author Giovanni Prisinzano replied on Feb. 28, 2017 @ 13:46 GMT
Dear Lawrence,

Thank you very much for reading and appreciating my essay!

I was not aware of the results of the Fermi satellite and I'm happy to know that they can somehow support the point of view of the continuity of space-time.

On the other hand I do not think that space and time have a purely subjective nature. I think they have a physical reality (which I consider having a mathematically continuous dimension, except for special reference frames), but the limits of information and of our perceptual sphere do allow us to represent them only through discrete models.

Kind regards,

Giovanni



Joe Fisher replied on Feb. 28, 2017 @ 16:22 GMT
Dear Professor Prisinzano,

Please excuse me for I have no intention of disparaging in any way any part of your essay.

I merely wish to point out that “Everything should be made as simple as possible, but not simpler.” Albert Einstein (1879 - 1955) Physicist & Nobel Laureate.

Only nature could produce a reality so simple, a single cell amoeba could deal with it.

The real Universe must consist only of one unified visible infinite physical surface occurring in one infinite dimension, that am always illuminated by infinite non-surface light.

A more detailed explanation of natural reality can be found in my essay, SCORE ONE FOR SIMPLICITY. I do hope that you will read my essay and perhaps comment on its merit.

Joe Fisher, Realist

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Mark Pharoah wrote on Feb. 28, 2017 @ 22:40 GMT
You say,

"information and reality are inseparable. Not necessarily in the sense that they must co-exist, because information, being of mathematical nature, is eternal, or rather timeless, while reality changes, the things in the world are transitory; but in the sense that between information and reality there is a relationship similar to that between a system or a formal theory and its model. "

I have never read a convincing expository explanation of what information is. As I see it, the term functions as a conceptual tool which humans use to try to interpret the world, and that as such, does not actually exist 'out there' in the real world. Similarly, the concept of number only exists in the thinker because he accepts unquestioningly the premise that there are things with identity that match one another. From this premise he concludes 'there is more that one'... of this class of things, and therefore, that numbers are a sensible tool for modeling the world of identical things. However, if one denies this assumption, and instead entertains the premise that every instance is entirely unique, one denies the notion that mathematics exists also.

When it comes to consciousness and the application of maths, then, it is more that mathematics is a flawed tool for modelling objective reality itself (despite widespread faith in it as an accurate description of truths) than that it does not work well as a tool for understanding/describing/explaining consciousness.

I just thought I would throw that idea into the mix for you...

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Author Giovanni Prisinzano replied on Mar. 1, 2017 @ 15:22 GMT
Dear Mark,

I thank you very much for reading my essay, and for your interesting comment, which gives me the opportunity to clarify an aspect that perhaps in the text I have not explained very well.

You're absolutely right in saying that the term "information", which is used more and more often, is difficult to understand, not least because everyone tends to interpret it in the way...

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Lawrence B. Crowell wrote on Mar. 10, 2017 @ 18:55 GMT
I had forgotten that I had read your paper in the past. I reread it. I would agree largely that physical reality sits within the first order logic domain and that by the Löwenheim-Skolem theorem the cardinality of this set is countably infinite at most. This is largely because the fundamental unit of physical reality is quantum information, which consists of qubits as discrete elements. These do however have topological meaning, and just as homotopy depends upon diffeomorphisms on continuous manifolds so too physics requires this. The difference is that points and continuum sets that are transfinite in nature have no physical information content. We derive no information from them directly.

Cheers LC

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Author Giovanni Prisinzano replied on Mar. 12, 2017 @ 14:58 GMT
Dear Lawrence,

thank you very much for your further comments!

I totally agree that we cannot have direct information on transfinite sets. Information is discrete and computable, while infinite sets contain mostly uncomputable elements. But I'm not sure that some transfinite sets cannot have a physical meaning. Of them it is possible to have discrete models, as is done for example for real numbers. Moreover we don't know what space and time are made of. I know that the prevailing view nowdays is that they have a discrete and quantum structure. But it is not necessarily so. They may be continuous and composed of uncountable set of points (space) and instants (time). Important authors (as Russell and Grünbaum) have argued that only by admitting the continuum and the actual infinity we can solve Zeno's paradoxes.

http://www.iep.utm.edu/zeno-par/

Cheers, Giovanni




Vladimir Rogozhin wrote on Mar. 13, 2017 @ 18:41 GMT
Dear Giovanni,

I read with great interest your deep analytical essay with ideas and conclusions that will help us overcome the crisis of understanding in fundamental science through the creation of a new comprehensive picture of the world, uniform for physicists and lyrics filled with meanings of the "LifeWorld" (E.Husserl). My high score. I believe that the modern crisis of understanding in fundamental knowledge is the crisis of ontology. I invite you to read and evaluate my ideas.

Yours faithfully,

Vladimir

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Vladimir Rogozhin replied on Mar. 13, 2017 @ 20:28 GMT
My name is Vladimir Rogozhin

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Author Giovanni Prisinzano replied on Mar. 14, 2017 @ 10:21 GMT
Dear Vladimir,

I thank you so much for your kind interest in my essay and for the very high appreciation that you have given to it! I fully share your view that science and philosophy are inseparable (so was from the beginning until the Eighteenth century) and that their results may agree. But since I'm (at least partially) a Kantian, I have some doubts we will ever reach a final theory about the universe. I will read and comment with pleasure and as soon as possible your essay.

Yours sincerely,

Giovanni




Gavin William Rowland wrote on Mar. 16, 2017 @ 10:32 GMT
Dear Giovanni

I enjoyed reading your essay, and agree with your conclusions. Of course the whole question of mathematizable information rests on measurement, and if something is not directly measurable, as in consciousness, then there is no information upon which to formulate mathematical models.

You may find my essay "From nothingness to value ethics" of interest.

Best regards

Gavin

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Author Giovanni Prisinzano wrote on Mar. 16, 2017 @ 16:04 GMT
Dear Gavin,

thank you so much for reading my essay, and for your kind comment, on which I agree. I posted my comment on your essay on your page.

Giovanni




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