Dear Luca,

Thank you for the comments and particularly for challenging and putting at test the statements in my essay. You wrote:

> However while I completely agree with your Principle 1, I do only agree with principles 2 and 3 with some qualifications, that might not correspond the picture your wording suggests.

I don't think principles 2 and 3 apply only "with some qualifications". Here is why. Suppose you have a model where the laws change in time, as I understand to be the one you propose. Also suppose that at each time the state of the world is represented by a different mathematical structure. But this is still a dynamical system like the ones in my essay. Simply, you still have a state, even if it corresponds to a different mathematical structure, and you still have a rule that shows how one state connects to the next one, even if this rule changes in time. And you don't contradict Principle 2 The collection of all true propositions about our physical world admits a mathematical model. Here's why. The collection of all propositions true about the world also include time specific propositions. All propositions about facts of the world valid at a time t have to be consistent, and admit a mathematical model, because this is a result from logic, it's not a postulate I want to impose (so you can't break it). There is also a larger mathematical model, corresponding to all true propositions, for all times, collected together. They can be for example of the form "At the time t things were such and such". To this collection of propositions corresponds a larger mathematical structure, valid for the entire history, and which includes as substructures those valid for each particular time. So Principle 3 The physical world is isomorphic to a dynamical system P is not contradicted.

From your comment I understand that the symmetries at some time give the objectively knowable relations, hence a mathematical structure realizing those relations. And that symmetries can change. You say that this is due to the environment, so I take it that your system is not isolated, it's open. A question may be, what if you take the whole system? Will it's laws still change? But anyhow, let's focus on the possibility that you take it as open, or that even if you take the total system, its symmetries change for some reason. But when you say that the symmetries determine the objectively knowable relations, I understand from this that there is a procedure X which, given the symmetries, gives the relations, like a function relations=X(symmetries). So at least X is not changing, just its argument. Now, when you say symmetries, in general they correspond to transformations of some space (not necessarily the "physical space", it can be a space of other parameters). For example, the system may have rotational symmetry SO(3) at some time, and this be broken in a future time, so that the symmetry reduces to rotations around an axis. But this is just like in usual physics. You can have a large group of symmetries, and a particular state may not be invariant to the full group, but only to a subgroup. So, from changing symmetries I don't think it follows a change in the laws. But, as I explained, even if the law changes in the most crazy ways, there will still be a dynamical system P and Principles 1-3 will still hold. You wrote "I hope this made you curious about my essay". Yes, I am looking forward to read your essay.

Cheers,

Cristi

Dear Cristi,

So, I agree it is a hard problem to explain consciousness from a starting point of unconscious physical objects. But do you think it might be possible to do the reverse: so, to start with consciousness and explain everything else? After all, when we come into this world, we only seem to have conscious perceptions to work with as a starting point for making any theory.

It is also interesting what you say about relations. So, is there anything that relates conventional physics and consciousness? I think it would be fair to say that quantity, direction and change are a part of conventional physics and they are also things that can be directly experienced, i.e. they are also part of consciousness.

So, if you can build a 'Theory of Everything' using just the concepts of quantity, direction and change, then you have built a conventional theory of physics out of directly experienced things, i.e. out of consciousness, and then the hard problem of consciousness disappears. (If you are interested, my essay tries to do exactly that: explain everything using quantity, direction and change).

All the best,

David

    Dear Cristi,

    thanks for taking the time to reply. Let me clarify from my side. What I have in mind is crazier. First of all concerning the environment. I primarily think of closed or closable systems. This is needed in order to have well defined realizations of symmetries, which define the concepts, within which the model is formalized. If that is possible, we can also start to describe open system, but only then. In order to be able to realize separable closed systems, the interactions must be not to strong and the environment must be kind enough. For instance for the Poincaré symmetry to be realized (an so having the standard model as physical model), space must be almost empty

    and gravitational forces not to strong.

    Now imagine at a time 0 a model P0 is realized, such that principle 2 and 3 hold approximately within P0. And at a later time another P1 is realized, such that the two principles hold. However let us imagine that P1 is the richer system in the sense, that P0 is contained in P1. Than there are things that can happen in P1 (there are propositions in P1), that cannot be described in P0 just because of the lack of language. There are propositions in P1 that cannot be decided in P0 (principle 2) does not hold. Also there is no dynamical evolution from P0 to P1, because in P1 there are concepts/quantities that are new and did not in exist in P1. Reversely events of the past (P0) can be explained or even retrodicted from within P1.

    On a fundamental cosmological level I imagine some crystallization process, that brings more and more complex structures to light.

    But one may also think that in empty space Poincaré symmetry (with particles of the standard model) is realized and speculate that near black holes on the event horizon symmetries of a 2 dimensional space are realized. And in between? Well this is the million dollar question. But it is thinkable that no unified separable symmetry might be realizable.

    Hope this makes sense for you.

    Luca

    Dear David,

    Thank you for the comments! You ask an interesting question: do you think it might be possible to do the reverse: so, to start with consciousness and explain everything else? I agree that we only seem to have conscious perceptions to work with as a starting point for making any theory. And indeed, whatever we learn about the world, and whatever theories we make to explain it, this is based on consciousness. But if someone would ask a stronger question, that we can explain everything about the world just from consciousness, in the absence of any perceptions of the external world, this would likely not be enough. But from perceptions and consciousness, we can do a lot of things, and we know the results obtained so far are obtained like this.

    You make another interesting point here I think it would be fair to say that quantity, direction and change are a part of conventional physics and they are also things that can be directly experienced, i.e. they are also part of consciousness. I guess it's about what Kant calls "a priori" cognition, which exists before the experience, and we map to the "a posteriori" cognition that follows from experience associated to perceptions. This is an interesting idea. It may be difficult to prove in practice, but I think it worth being investigated seriously. Thanks for suggesting me your essay for more details.

    Cheers,

    Cristi

    Dear Luca,

    Thank you for the additional details. Your explanations about the Poincaré symmetry requiring that "space must be almost empty and gravitational forces not to strong" make sense to me. Then you say "Now imagine at a time 0 a model P0 is realized, such that principle 2 and 3 hold approximately within P0." I don't understand what it means for principle 2 to hold only approximately. You mean that P0 is not logically consistent? Because if "the collection of all true propositions about our physical world that apply at the time t0" is logically consistent, then it admits a mathematical model. Also, what you mean by P0, is the same what I call "P" but valid at the time t0? Because what I call "P" is a dynamical system, so principle 3 holds. Another thing you say makes me interested. You said "Reversely events of the past (P0) can be explained or even retrodicted from within P1" I tried to see what you mean by this. I checked your essay, and now I know what you mean, although I don't think it is as crazy as you said :). Nevertheless, as I explained, even if the theory changes in time, it can't break principles 1-3 unless it is not self-consistent. I like what you said, "on a fundamental cosmological level I imagine some crystallization process, that brings more and more complex structures to light", and I agree with this. Thanks again for the comments and good luck in the contest!

    Cheers,

    Cristi

    Hi Cristi,

    thank you for this essay on the hard problem of consciousness! I too have come through the philosophy of mind to wonder on the fundamentality of consciousness and its relation to physicalism and thus fundamental physics. This is a hard topic to broach given the many orthogonal viewpoints available. Here's my perhaps somewhat oblique take on your take.

    "Principle 1 Science deals with relations only, and not with the nature of things."

    For me, this principle would require a specific definition of 'relations', where for example it is specifically empirical scientists who deal with the calculable relations between observable things. And observation here would require said scientists to be at least conscious, and preferably sentient, while observing those things and then contemplating their relation to other things. Otherwise, how can we empirically say that unobserved things have mathematically calculable relations with other unobserved things? Even dark matter and dark energy, being unobservable by definition, are posited to explain observable and thus calculable phenomena. Likewise, entangled quantum states are unobservable by definition but their wave functions calculate potential observables to a fine degree of precision.

    Observation, conscious sentience, and calculation would seem to me to all play a part in scientific relational thinking, at least phenomenologically speaking.

    And then, what is the 'nature' of these relational things beyond their givenness in the scientist's empirical experience of the things that they observe and analyse? If these things can even be said to have an 'innate nature' beyond their relational character, would it then be an 'experiential nature'? And this because I have no idea of how a non-conscious non-experiential science might be practiced!

    Might Principle 1 then be rewritten as 'science deals with the calculable relations of experiential things'?

    "Problem 1 If relations can't fully explain consciousness, then what's the missing ingredient?"

    So for me again, what's missing is a definitional distinction between a calculable 'relation' and its relation to observers being conscious of things, where even consciousness isn't just a property attached to things (as in various panpsychisms) but is itself (as you point out) a dynamic relational process of being conscious of--or sentient of--or aware of--things given in empirical/phenomenal experience. But then I'm just a Husserlian pan-experientialist when it comes down to it! And as someone mentioned up thread, Strawson is a strong exponent of this view.

    Best regards,

    Malcolm Riddoch

    Je suis, nous sommes Wigner!

      Dear Cristi,

      many thanks for your precious comment in my blog. Let me clarify here about the approximate models. I think we agree that the objective knowable part of nature is the relation of things and not the things themselves. That is why (as you write) mathematics is so effective for physics. So even the things from which we only know their relations are manifestation or realizations of exactly these relations. So the realized physical structure is in a way isomorphic to the model. (For me to a certain extent even identical, if we identify the mathematical structure with operations that can be physically realized, like counting, or moving a thing by a specific distance.)

      But these operations to be exact depend on that objects or systems within the whole can be separated from the rest. This separability is always only an approximation. I am actually not so sure if I am contradicting myself or whether the non-separability shall or must be modelled by a random field causing the loss of phase information like in the objective collapse theories. Such as external influences might only be detectable as such because the laws within the system have been fixed. The expected behaviour of the separable system can be observed as disturbed.

      This is not the point, I want to make. The point is, that in specific configurations specific relation emerge or manifest described by the model. Within this manifestation rulers and measurement apparatuses can be build. Objects themselves manifest with contingent properties, that can be measured and predicted within the dynamical model during a period of time t0.

      If the objects now for instance come to near to each other, the approximate separability must be given up. New kinds of relations begin to manifest and new separable objects and systems within the new configuration manifest with new dynamical laws and contingent properties. This new system is in itself again a well defined mathematical structure/dynamical model P1 which describes itself approximately well.

      Do you understand, why I think, both cannot be necessarily unified into one dynamical model? For this we should have access to the nature of things themselves. Which we do not. Even not the things themselves.

      Thanks for the conversation.

      Luca

      Dear Luca,

      I know what you mean, but not because you translated it to me in terms of things I mentioned in my essay, that translation is too approximate. In principles 2-3 I don't talk about our models of the world. I talk about the mathematical structures that are models, in the sense of Model Theory, of the collections of propositions true about the world, regardless of what we think about them. Here's another, final, attempt to explain what I said: 1) there are facts of the world, that are true, even if we don't know them precisely or at all. 2) It is not necessary that these facts hold for all times to be true, it is enough to have factual statements about facts of the world at given times specified in the proposition. For example "At date and time t is raining in Rome". This will remain true even if at the time t2=/=t is not raining in Rome. Because that proposition is not universal, it refers specifically to a time and place and a state. You can have such statements for each time in which it makes sense to talk about Rome. The collection of all these states doesn't need to follow any rule, and there is nothing in the environment that is ignored, but, once taken into account, would make these propositions change their validity. This example is a particular fact. There may also be universal facts, like "momentum is always conserved", which may be true or false, even if we don't know it or we can't verify in all instances. 3) The collection of the propositions expressing these universal and particular facts is logically consistent. 4) From 3, according to Model Theory, there is a mathematical structure in which these are true. Period. No room to smuggle in this some presumed approximation, there's nothing approximate here. What I said has nothing to do with the models we cook up as we try to understand the world. Nothing to do with the evolution of our understanding of the world. Also, if I say "the collection of all true propositions about our physical world", there's no environment that I could've left out, no separation I left out, because I referred to the totality of the facts of the world, not of a subsystem, not about the opinion of some people who live at a certain time and not another. Talking about separation in this case is like me saying "all", and you talking about "the things I didn't include in 'all'". So I don't see a connection between what you said I said, and what I really said. I understand your points, and your generous attempt to try to explain them to me in terms of what I wrote in my essay, but I don't think what you think I said is what I said. Fortunately I read your essay, where you explain them in your terms, so I understand, but you don't understand what I said, and this is why you think you found some exceptions to principles 2-3. There's no such exception. You think there is because you have an approximate understanding of what I said.

      > Thanks for the conversation.

      Thanks for the conversation.

      Cristi

      Hi Malcolm,

      Thank you for reading my essay and for the interesting comments you made. I hope my longer essay sections 6-7 explain more the possible relations between sentience and physical facts, and how these possibilities can be tested empirically. I like the title of your essay, "Je suis, nous sommes Wigner!", and I'm looking forward to read it!

      Cheers,

      Cristi

      Hi Cristi,

      Thank you for a really interesting essay! The debate around consciousness is one I try to avoid, but you wrote a very useful and well argued piece on it. I wholeheartedly agree that the relations and not the things themselves are important, otherwise we are just stamp collecting. Your caption you write 'we select some data and ignore the rest of it' reminds me of a quote I heard about learning; something like 'you need to forget data to learn, otherwise its just memory'. You talked about open/closed Turing machines, but I was wondering if you though that the thermodynamics of a machine in a physical world are an essential component to sentience?

      Your arguments regarding the thermodynamics of Turing machines and the brain considerably overlap with my essay ``noisy machines'' and you might find it an interesting read. While I don't delve into conscious, many of my arguments would carry across to the limitations of the brain if it were assumed to be a Turing machine.

      Overall, really enjoyed the essay!

      Thanks again,

      Michael

        Hi Michael,

        Thank you for reading, and for the very interesting comments.

        > "I was wondering if you though that the thermodynamics of a machine in a physical world are an essential component to sentience?"

        It is essential for the brain to work, so for consciousness too, at least for the "easy problems" of consciousness. You said it well "noisy machines", I look forward to read more about this.

        Cheers,

        Cristi

        Dear Stoica. Great work in your essay on consciousness... I think we are surely headed to the core of it all though gradually.i Learnt something on sentience,Thanks.i too have something on consciousness in my simple essay here-https://fqxi.org/community/forum/topic/3525.Hope you kindly take your time to review. meanwhile, Wish you all the best in the essay contest.

          Dear Michael,

          Thank you for reading and for the comments. And for the link to your essay. I wish you the best too!

          Cheers,

          Cristi

          Dear Cristi,

          You wrote a fine philosophical essay that was very readable and enjoyable.

          In your abstract you ask the question: "Can consciousness be completely reduced to physical processes or computation?"

          I would argue that yes it can be reduced to physical processes, but that not all such processes are amenable to computation based on the fact that ideal Turing machines do not and can never exist.

          I would categorize myself as adhering to a variety of kinds of monism. My existence monism posits that only energy exists, it forming the Universe. My substance monism (?) posits that only two kinds of particles exist each with a set of properties and states, and these particles cannot be separated in the current stage of evolution of the Universe. My priority monism posits that all existing things of nature perceived by humans are emergent, but point back to a source that is distinct from them but causally connected.

          Given that I believe in mathematical structures as approximations of the object reality of the Universe, I suppose that would mean I am also an adherent of skuld monism (Sentient monism). But I do not believe in determinism! You state: "The coarse graining of a deterministic system can be nondeterministic" and I would argue that emergent skuld beings such as ourselves are a form of coarse-graining.

          I originally used the term sentient in my essay, which according to the Oxford dictionary means "able to see or feel things through the senses". To my thinking that means bacteria, amoeba and other similar lifeforms are sentient, and although this word is commonly used as I intended in science fiction, I felt that this word does not provide the meaning I needed. So, I coined the term "skuld entity" to mean an entity that has self-awareness, metacognition, awareness of others and awareness of the future. Skuld originates from the Old Norse literature name for the Norn of fate that represents the future.

          In Old Norse literature the three Norns (demi-goddesses) of fate are female Jotuns (giants), named Urd for past, Verdandi for the present and Skuld for the future. Norns are always present when a child is born, and they decide its fate. Look up Norns and Jotuns on the internet for some fascinating insight to another culture's myths and legends.

          Using Verdandi as the name of the Norn of the present, mentioned above, I coined the term "Relative Verdandism". This refers to my claim that one set of defined energy exists relative to another set of defined energy with dynamical force laws that describe the relative motion of both the energy forms in the Now (present). Ultimately Verdandism is able to do away with the concepts of space, time and spacetime, which are merely creations of skuld organisms, leaving only the object reality of my Ginnungagap Theory, which describes the Universe solely in terms of its constituent matter and force particles, and their respective properties and relations.

          In your expanded essay "The negative way to sentience", you state: "Therefore, the histories of dynamical systems are as eternalist as the block world of the theory of relativity." I disagree with this analysis, in the sense that unless the histories are stored in a permanent system (which is, of course, not possible) then they are not eternalist at all.

          We cover many of the same ideas but from differing perspectives, generally in agreement. Sometimes it is semantics, and the brevity of answers that gets in the way of understanding.

          I shall continue to read your longer version with interest.

          I hope you have a chance to read my essay where I contemplate the 3 Un's with respect to my own interests.

          Kind regards

          Lockie Cresswell

            Dear Lockie,

            Thank you for reading my essay, and for the intriguing and thought provoking comments. Also for mentioning to me your essay, which I hope to read soon. Interesting connections and parallels you made in your comments. Good luck with the essay!

            Cheers,

            Cristi

            Dear Cristi,

            You make a profound observation, "science deals with relations only, not with the nature of things", and yet you let that slip out of hand. Consciousness is indeed explainable only in terms of 'relations of things', not by the underlying nature of things. Relations are observable reality. Constancy of relations are the brute definite properties.

            > "Theories are guess about the laws of the structure, the relations between the states of a system at different times."

            You did not emphasize here that state descriptions are also relative, and system descriptions are constructed of constancy of state descriptions. For instance, an identity can be created out of constancy of rest mass energy of 0.511 MeV, charge of negative 1 electronic charge unit, and spin of half, and is labeled as an electron. Therefore, states and systems also have only relative descriptions.

            > "The book [of Nature] is written in mathematical language -- Galileo Galilei".

            A profoundly approximate statement, misses the reality. The trouble with math is that we begin to expect strong determinism expressible by math, where as we must allow limited indeterminism in our mathematical description to be able to construct the descriptions in relative terms alone. Besides, it is the indeterminism that makes the universe come into existence, or in reality. An entirely deterministic universe may not come into existence and may not vanish into non-existence. Moreover, it allows the relative descriptions to be constructed, without going into the underlying nature of things.

            > "Since the collection of all true statements about everything in the world should be logically consistent, it follows that there is a mathematical structure which describes anything that can be said, which is relations only."

            If one is saying all orderly patterns will have mathematical description, then it is understandable. But why logically consistent, why not observationally consistent, because logic requires mathematical consistency, ruling out any role for limited indeterminism? How can one make things indeterminate, yet have processes that cause definite consequence? See my essay.

            > "Each neuron works by collecting some input signals and returning an output signal. These signals and the way they are processed can be sequenced, discretized, as precisely as needed. So, ultimately, nobody is able to distinguish more than a discrete (in fact a finite) number of states of the brain, and there's no need for this to describe its processes. This makes the brain's states and processes practically equivalent to those of a Turing Machine."

            Differences from Turing Machines: (1) Asynchronous parallelism, (2) Discrete states of neurons capture continuous dynamics, (3) Inherent randomness, and (4) neural structure and connectivity change with time in interaction with inexhaustible (infinite) environmental conditions. Without a process of continuous dynamics in Turing machine, combination of states remain finite. A random number generator also has to be a Turing Machine, which would be repetitive for a finite system, however large -- genuine randomness goes away due to discretization. Random number generator then becomes part of the environment.

            > "So even if we take into account the environment with its unpredictable inputs, it can be simulated by a Turing machine."

            It can only be statistically simulated. A statistical simulation of a system does not capture the specific information of causal correlation of actual state of a system at a given moment in real time. Lower resolution argument gives up the specific information represented by the state, which amounts to definite abstraction, but no one seems to care. Evolving non-deterministic relations is not bounded by timeless tapestry.

            > "If relations can't fully explain consciousness, then what's the missing ingredient?"

            Relations with limited indeterminism can explain consciousness, but one has not presented yet what is consciousness. Without such a knowledge, consciousness naturally remains inexplicable mystery. Once you are interested in taking the discussion forward, I will define consciousness and request you to critique.

            > "Can the task of solving Problem 1 be expressed as finding out the correct relation between P and S?"

            YES. P is an observable state of a system and S is the information of its causal correlation. All states depend on specific relation among precursor states of physical systems, one has to simply formulate how such information builds with organized interaction. Not only the signals (states) interacting at logic gates amount to processing information, but all interactions result in certain processing, which can be quantified by a formal expression, which also shows how differs from absolute determinism. That is, processing in or by the physical system is out of bounds to Godel's theorems. Godel's theorems lose their shine due to their inapplicability to real systems. See doi:10.3390/info9070168

            > "If P and S interact, the evolution law of W should contain an interaction term".

            P and S do not interact, they are non-separable, as the states of P causally represents S by virtue of constancy of natural causation. S does not affect P, S is the natural outcome of P and inseparable -- there is no existence to P without S.

            I hope, you enjoyed a different perspective, even though we agree on purely relational description of universe. But I cannot match your eloquence in presenting substantive ideas with such clarity and ease.

            Rajiv

              Hi Cristi,

              Once again, you wrote a remarkable Essay. Congrats. Your statement of Principle 1 that "Science only deals with relations, not with the nature of things." is quite strong, but I find enlightening your discussion on it. Concerning your Principle 2 that "The collection of all true propositions about our physical world admits a mathematical model." I think that sometimes it works also for wrong propositions! In general, I think that physics goes ahead through a series of subsequent approximations, which will give us more and more accurate predictions over a wider and wider range of phenomena. This is more difficult concerning the approach to consciousness. In any case, I find very interesting your Essay and deserving a very high score. By the way, I send you my congrats also for your PRA paper on the wave function on the three-dimensional space. Another excellent work.

              I wish you very good luck in the Contest.

              Cheers, Ch.

                Dear Cristi, If science doesn't strive to reach the heart of reality or to comprehend things in themselves and it's simply a bunch of relations then what does?...Is it art, religion, philosophy?

                You say, I quote "If you ever wondered why is math so effective in science, here's the answer: because like science, math is about relations, and relations are math.

                A mathematical structure is (1) a collection of sets (the nature of its elements is irrelevant), and (2) a collection of relations between those sets. Mathematically, relations are subsets of Carte- sian products of the sets." quote closed.

                In this statement you seem to reduce relations even further to sets, subsets or the set of subsets so relations in maths is no longer a primitive concept, and since I mentioned concepts I wonder why you left those out too from science since in my opinion without concepts you can't have relations at all wouldn't you say (i.e. what would GR be without the fundamental concept of manifold as defined by Riemann or the concept of force introduced by Newton or group by Lagrange, Galois or Lie etc?)

                Logically speaking relations are between things, facts, acts, concepts, sets, classes etc.assumes the a prior existence of these objects as something more fundamental than the relations among them as such.

                From a holistic (even Daoist)point of view however I can see your point if we are to agree that everything that exists is somehow inter-connected and therefore those connections, those structural relations become essential in undertaking the structure of reality and yes in that sense perhaps one can take this ultra reductionist view.

                  Dear Cristi,

                  Your beautifully written and understandable essay made a lasting imression on me. I still need to dwell a little more on the last section, and the proposition P=S. [I readily aagree there is a hard problem of consciousness].

                  Some of my own earlier thoughts on this subject came to my mind while I was reading your essay. I make a distinction [and I think you do too] between mind (thoughts, emotions, ...] and the underlying substrate of self-awareness/consciousness. Perhaps consciousness is a full body experience, confined not just to the brain-mind system?

                  Also, I had imagined consciousness to be a timeless state...self-awareness without any thoughts-every moment identical with the next; devoid of mind, there is no flow of time, and hence no experience of time, or perhaps a reversible time experience, very different from how mind perceives time. Are we in disagreement on this aspect: can consciousness be treated as a dynamical system?

                  Earlier, I also had this idea that at the most fundamental level, there is no distinction between the physical world and the mathematics which describes it. The two become one and the same. And that consciousness is the state when physical aspect of self equals mathematical description of self. I don't know how to prove this, but were it to be true, it would be different from how we treat emergent physical systems [reductionism]. Is your proposal P=S in any way related to this idea, or something entirely different?

                  You have written a thought-rovoking and very enjoyable essay, and I hope it will do very well in the contest.

                  Tejinder

                    Dear Rajiv,

                    Thanks for the interesting comments, and for pointing out both ideas with which you agree and with which you disagree.

                    Cheers,

                    Cristi