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

              Dear Christian,

              Thank you very much for the comments and for reading my essay.

              >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.

              Yes, I fully agree. We may never know the right mathematical structure, though we certainly both agree that General Relativity is very close to certain aspects of it. For the arguments I made here, I was interested in the existence only, not to effectively construct the solution of the problem "what mathematical structure corresponds to reality". For this much more ambitious project, we both are doing our parts.

              >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.

              Thank you, this means a lot for me coming from you!

              Cheers,

              Cristi

              Dear Mihai,

              >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?

              First, I didn't say "science doesn't strive to reach the heart of reality", scientists definitely want this. What I said is it can only capture relations, not "the heart of reality", unless this hart is relations only. And I explained that experiment is based on finding relations (to measure is to compare, to look at the structure is to find relations etc.), and theory is based on finding relations between the experimental data. But if I am wrong, maybe you can give an example of "nature of things" found by science (or even art, religion, philosophy, because if they can, then science perhaps can absorb it). When I ask people for such an example of "nature of things" or "heart of reality", found by science or other means, sometimes they tend to become emotional, as if I offended some god of science ☺. When people get emotional, they tend to misinterpret and make quick judgments. But it's understandable ☺.

              You then said I left out "concepts". I think concepts are labeled representations, and I discussed both labels and representations in my longer essay. When you give as examples "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", somehow you ignore that these are mathematical structures and can be defined precisely in terms of sets and relations as I said. What difference makes the fact that we represent them in our minds somehow, and we label them, and call them "concepts"? They are what they are.

              >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.

              This doesn't mean that we can know those fundamental things from studying the relations between them.

              >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.

              This is an interesting remark, although I don't understand it. As for the ultra reductionist view, if you think that my essay was about this, then you missed the point, it was in the completely opposite direction ☺. It was rather a reductio an absurdum proof against reductionism.

              Cheers,

              Cristi

              Dear Cristi,

              What a pity, you declined to take the discussion forward. It appears, you have such strong logical rationality against my arguments that it is not worthy of further discussion at all. Your rationality must be mathematical for it to give such certainty of mind.

              I can see that others too have noted the strength and clarity of arguments and simplicity of presentation, that most could follow with ease. This is what I call eloquence.

              Have fun addressing the diverse comments from the readers.

              Rajiv

              Dear Tejinder,

              Thank you very much for reading and commenting and for the visit!

              >Your beautifully written and understandable essay made a lasting impression on me.

              Thank you, this means a lot to me.

              >I still need to dwell a little more on the last section, and the proposition P=S. [I readily agree there is a hard problem of consciousness].

              I just want to remind something, because it can go unnoticed in my short essay, as I realized from some comments. By S I mean the mathematical description of the relational part of sentience. By sentience I mean the ontology of S.

              >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?

              I agree. There is a second "brain", which from historical-biological perspective happened before what we now call "brain". It is the enteric nervous system, and Damasio explains well in what sense this is a brain. At any rate, I think that even when we see ourselves as very rational and logical, we are in fact just rationalizing our emotions and hunches. Relations between the gut and the development and functioning of the brain are something that we are just starting to understand. Imbalances in the gut bacteria can lead to many health issues, but also affects the brain, and is one of the major factors that are connected with autism (I have personal reasons to be very interested in this relation, one of my kids being severely autistic). Anyway, while answering you, I recalled the huge differences in nutrition between India and the US, and this prompted me to check if there is also a difference in the incidence of autism. Indeed, in India is 0.23%, while in the US is 1.47%! (although the article doesn't mention the gut). Here is a link about the relation between gut and autism.

              >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?

              I think it's timeless, no disagreement between us here. I think physics is timeless. Dynamical systems are timeless, time is just a parameter on the curve representing the succession of states. I gave a proof that there's no way to introduce presentism in a dynamical system in my longer essay. So both P and S are timeless. I think sentience is timeless too, although I can't prove much about sentience (sentience is the ontology of S, but not S itself). The impression that present is more "real" and time flows comes from the limited perspective of the states, they have memories of the past, not of the future. But they are confined to a particular time, just like they are at one place and not everywhere, so their perspective is presentist and not eternalist, for the same reason why we have a location in space, and we are not everywhere. So time is a matter of perspective, which, since it correlates with the time in the dynamical system, we think it's supported by physics. But there is nothing even in the dynamical systems that would make present more actual than other moments of times, except that the state has limited knowledge of the entire history.

              My views on time in physics are more complicated to be explained in a comment, but I attach a paper about this, in the form that was accepted for publication recently.

              >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?

              I view everything as a timeless mathematical structure whose ontology is sentience. It becomes manifest in systems like humans, able to exhibit purpose and meaning, but I think it is unreachable by objective means, including studying humans under the microscope (although S itself may be). Metaphorically, I can put it like this: the foundation of consciousness and experience, which I named "sentience" to be able to speak about it, but took caution to call this naming "nondefinition", is all that is. It is also a mathematical structure because it is consistent. A more detailed view I have is that it is undifferentiated, timeless, dimensionless (I explained how this can be in my last essay, Indra's Net - Holomorphic Fundamentalness, particularly note 8). I see it like a germ of a holomorphic field (I explain why I think fields are holomorphic in that essay), or rather an equivalence class of such fields. It has no dimension, no time. But it contains in it the field, including spacetime, as the power series expansion of the data in the germ. So there is only one undifferentiated thing, which has "inside" it, intrinsically, many differentiated perspectives of the world. But it can be any other mathematical structure, if I am wrong and physics is not like this. It can be something like your matrix dynamics theory, or maybe this and the holomorphic one are just isomorphic somehow. Anyway, I think that that the ontology of that mathematical structure is sentience. I can't remember since I had this view, but the holomorphic germ idea came to me 25-30 years ago. And somehow, at that time, I started to read some Eastern philosophies like Taoism and Advaita Vedト]ta, and I had the feeling that they were saying the same. I factored out the stories that people developed out of these experiences, which resulted in various mythologies that too often don't seem factual enough to me, I think these are just attempts to conceptualize that experience. Pretty much like Descartes, who doubted deeply (his dubito), but instead of sticking to neti neti, he filled the experience with concepts based on his own preconceptions, which led him to derivate Catholocism out of this. I think this happened to many people, trying to think of the unthinkable, to speak of the unspeakable, and this filled the world with myths that contradict one another and facts.

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

              Thank you, I appreciate this very much! I loved your essay as well, and I wish you the best in the contest and research! And if you will give a Zoom talk about your work, please count me in!

              Cheers,

              CristiAttachment #1: 1_post-determined-block-universe.pdf

              Dear Rajiv,

              Thank you for returning. From my experience, people often think they can reduce consciousness to information, computation, processes, relations etc, but they usually talk about the easy problems. I realized that it is usually unhelpful to engage in such discussions, because they are about different things, and this leads to misunderstandings. I tried to give a grasp of what the hard problem is with the example with the tapestry. It seemed it didn't work for you, so I thought that our discussion will be just an exchange where each of us talk about different things. This doesn't mean that I must have a mathematical way to refute you, it may simply mean that I expect this discussion to be very difficult, and pointless, since we would talk about different things. But since you think is so important, as it follows from your reply, I looked in my draft and recovered the reply I wrote for you before deciding not to post it. I completed it a bit, and I am posting it below.

              >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.

              Well, thank you, but you could point out where I let it slip out of hand. Or perhaps it just went in a direction you disagree with?

              >Consciousness is indeed explainable only in terms of 'relations of things', not by the underlying nature of things. Relations are observable reality.

              I see. You seem to think that consciousness is reducible to relations. Do you think it is somewhere in the tapestry of the Rule 110 Cellular Automaton? Probably not, and probably you think that it's because this one is discrete and not random.

              > You did not emphasize here that state descriptions are also relative

              If they're descriptions, sure, they're relative.

              >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.

              I doubt that math forces determinism. There is indeterminism in math too. Probabilities and statistics are branches of math too. Sure, it forces things, in the sense that it makes it wrong to say that the result of 2+2 is anything but 4.

              >Differences from Turing Machines:[...]

              What I said is that the reason why some people think it is reducible to computation is because you can have Turing machines that do all these to any degree of approximation.

              > 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.

              I am pretty sure from what you say that you refer to easy problems of consciousness. Those you can try to define. It is not this.

              >P is an observable state of a system and S is the information of its causal correlation.

              I don't recognize my S and P in your S and P, here or in your essay.

              >Once you are interested in taking the discussion forward, I will define consciousness and request you to critique.

              I could ask you to explain what is the hard problem. That would be particularly useful since you seem to think that you know what is meaning. But it is not this, this is just a label.

              >What a pity, you declined to take the discussion forward. It appears, you have such strong logical rationality against my arguments that it is not worthy of further discussion at all. Your rationality must be mathematical for it to give such certainty of mind.

              You should not jump to conclusions. There may be different reasons. My reason was simply that we talk about different things, which can lead to misunderstandings. No reason to be offended by this, I hoped. If my essay was not clear enough to explain what is the hard problem and why it is not the same as the easy problems, then hopefully this longer version may help.

              I appreciate your interesting and thought provoking comments, and wish you well in the contest.

              Cheers,

              Cristi

              Cristi, concepts are not simple representations or worse mere labels: they are much more than that and potentially they are and they've always been the key into deeper meanings of reality. It was the revision of the classical concepts of time and space that led Einstein to SR and GR and which ultimately even made the classic relation between them disappear into 4-dim Minkowski space-time and the 4-dim pseudo-Riemannuan manifold respectively. That simple concept revision hugely changed the paradigm in classical physics by pointing out the equivalence between mass and energy or the nature of gravity from being a force with Newton to being the curvature of space-time with Einstein, just to give one example of how gravity came to be understood deeper just by changing the conceptual framework, theory that was indeed confirmed through measurement and observation subsequently or as you say through relating data with the theory but only because we had a theory built on rigorous mathematical concepts, postulates, empirical evidence, philosophical and logical principles, relations and connections etc, in the first place so a whole mix of entities not just relations and mere syntactical labels.

              I don't dispute the fact that the way we understand nature of gravity now may not be the ultimate reality in itself due to quantum gravity problems but who is to say that one day someone will not come along and teach us that mind/ consciousness also plays a role in it and maybe we may even be able to bend objects at a distance just like in Matrix or levitate objects like in Stars War...

              More example of the same nature you can find in my essay Logic, Formalism and Reality if you'll be curious to read it as well as a more historically realistic view as to the role the mind/ consciousness through mathematics and logic plays in physics.

              Mihai,

              Your examples of the role of concepts are true, and they are important for our understanding and the progress of science. But what I was refering to is what science is about, what can be proven objectively, not what is helpful pedagogically even for the progress of science. They are different things, and you brought the notion of concepts to oppose what I said, but it was not the same thing. Also, I repeat, those concepts are our representations of for example semi-Riemannian geometry, but this geometry like any other mathematical structure are expressable in terms of sets and relations. So you see, I agree with your statements, but it is you who opposed them to my statements out of context. I was simply defining the context. In the context of my essay, the point was to show that there is indeed a hard problem, and it can't simply be reduced to science as usually understood as being about objectively or independently verifiable facts. These things are relations only. The personal touch each of us give to them when we interpret them or represent them internally, the labels we give when we use words as shorthands to communicate with others whom we expect to know what we are talking about, these are outside, meta, even though they are useful. Even so, they can be encoded as information to any desired level, but at the end there is the problem of converting this information into meaning, and I think here is again where we hit the hard problem of consciousness.

              > I don't dispute the fact that the way we understand nature of gravity now may not be the ultimate reality in itself due to quantum gravity problems

              I don't dispute it either, I even expect that the most important parts of General Relativity will survive in the final theory, even though the majority of physicists searching for it seem to me to be drifting away of it. I worked a lot to fix issues that people consider as arguments to throw General Relativity away. I don't know how this relates to my essay, but since I see that you are interested in this, I gave you a link.

              > who is to say that one day will not come along ...

              Not me.

              I am pretty sure that you unpacked my essay differently than I intended :) It's my fault, I had to reduce it 4 times, and it changed in the process. Maybe the longer version is clearer, though I am not sure even of this.

              Cheers,

              Cristi

              Cristi; it has by now become clear to me that you're not a Platonist like me so you don't believe in logical objective reality of concepts such as number, set, structure, system, even relation as such understood as mapping or function. For instance, Godel, a notorious Platonist used to say that numbers and sets are as real and primitive as objects but only few can perceive them as such and one can only judge the truthfulness of one's philosophy by how fruitful it is in ones endeavours and in his case it's been quite fruitful I'd say. You keep asserting that in physics ( I don't think you include all sciences in the same category especially the humanistic ones where measuring things is more problematic than in physics, eg in psychology where one can hardly say that one can reliable measure feelings, moods, sentience or the like) concepts play no major role and it's all down to relations ( and more recently you cared to include sets too although as I pointed out to you some type of relations can be reduced to the set of subsets or the power set as Cantor duly proved) and that the concept of manifold it's just a structure, a mere representation of our minds but you seem to forget that structure as such is only a modern concept in maths and physics no more than 100 years old. In the end, numbers, sets, relations , structures are all concepts with various degrees of naiveté or subtlety or complexity so if you reduce them all to the concept of relation ( which you only defined in the context of measurement in physics but in QM the measurement has its share of problems too)you still have to explain the concept of concept and then you'd really get stuck in a vicious cycle circle type of argument wouldn't you?...

              It's true that Kant asserted that we cannot ever truly know the things in themselves but only deal with their phenomena through mental representations but let's not forget that he also used another 11 categories of thought over and above that of relation as inherence, causality, and correlation so even at Kant's the relation is more than a mere concept; it was actually an a priori category of understanding made up of three dialectically inter-related concepts, along the categories of quantity, quality and modality and their inner conceptual movements, plus the two forms of intuition, space of time whose meaning since Kant has seen so many dramatic changes, especially with Einstein whose theory asserts that space-time is affected by mass-energy and vice-versa so what was once just mere concepts or representation in our mind suddenly became as real as physical matter...I think that this example refutes yet again your thesis that concepts have no logical or objective reality and that only relations derived from observation and measurement.

              Mihai, I don't know how you do it, but again, every single statement you attribute to me is wrong. I'm impressed.

              > Cristi; it has by now become clear to me that you're not a Platonist

              Not sure why you say so. This was the core of my essay.

              > You keep asserting that in physics [...] concepts play no major role and it's all down to relations

              It seems that once you unpacked it the wrong way, there is no way back but to insist in that direction :) I didn't say any of these things you claimed I said. I neither say they play no major role, nor that it's all down to relations in the way you mean it. I'm sorry to see I failed so miserably to convey a simple message.

              > and more recently you cared to include sets too

              What do you mean by "more recently"? In the very first comment you quoted from my essay "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 Cartesian products of the sets." How less recent than this being already in my essay you wanted it to be?

              ... that the concept of manifold it's just a structure, a mere representation of our minds.

              I didn't say that "a structure" = "a mere representation of our minds". By structure I mean precisely mathematical structures, you just call them "concepts". I said concepts are representations of our minds, and you can look this up too, but for some reason you seem to be calling these structures.

              I am impressed that the correlation between what I said and what you understood is quite large, but it's negative. No worries, it doesn't matter.

              Bye,

              Cristi

              Hi Cristinel, nice essay. Some thoughts spring to mind about brain and neuron function. 1.threshold of neurotransmitter input at junction needing to be met before firing of a neuron can happen. In many cases input will

              not result in output. 2.Learning by new neural junctions forming. 3. Brain plasticity; 'Pruning' of unused neuronal connections related to forgetting the unimportant.'strengthening' of well used ones. 4. Brain derived neurotophic factor increased by exposure to novel situations, exercise and some dietary components/ supplements. Overall showing the brain not fixed in architecture like a machine but undergoing growth and /or decline. meaning there are far more potential states of the brain than its architecture at one time would suggest. Kind regards Georgina

                Cristi I hope we're both reading the same essay: yours

                Here's what you say I may have misunderstood (just a few samples but the list is much longer):

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

                Which science are you referring to or you say in general, referring rather to a certain scientific method, mainly the one used in physics?

                "Language is as well about relations only."

                Which kind of language are you referring to? If you mean the natural language than there is more to language than syntax, there is semiotics and semantics, there is linguistic, poetry, metalanguage, etc and many more aspects of language that are not reducible to relations. To give just one definition belonging to Heidegger who states that 'language is the house of Being' Do you agree to that? I think that Eminescu would...Just a hunch not a theory.

                "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"

                I think we commented already too much on this statement and how you can actually reduce even relations to sets so it's self- contradictory because you first state maths is relations, then it's sets and relations and then you hide the relations into Cartesian subsets so you're left only with sets as the only primitive concept to define a mathematical structure.

                'Principle 2 The collection of all true propositions about our physical world admits a mathematical model.'

                Well here with this state you have several issues:

                1. What do you mean by a collection? Is it in the sense of set as defined by Cantor or in the sense as defined by Dedekind or neither? Is in in the sense of class as defined by Von Neuman and in what sense 'a collection of all true proposition' true in what sense? Does such a collection even exist or you simply postulate as if it existed as a working hypothesis? and do you mean by a mathemical model? Is in in the sense of a metalanguage in set axiomatic sense or in Tarski sense where the truth is not definable in a given language and needs a metalanguage?

                'And since many apparently independent phenomena were described in terms of these elementary constituents, we expect that this will continue to work. In particular, it is often believed that consciousness is reducible to a complex arrangement of particles. '

                I must admit this statement is mind blowing, especially the bit that consciousness is reducible to a complex arrangement of elementary particles!!...why should we expect so? Has anyone proved that consciousness/ human mind, although as I say in my essay - the most amazing thing in the Universe - is a strictly physical phenomenon or it's still assumed a more complex psychic one therefore more to with the mental phenomena rather than the brain? Then again, you introduced along with consciousness the concepts of elementary particles referring at fermions and bosons which makes me wonder again whatever happened to Principle 1 'physics is only about relations and not things in themselves' Doesn't the SM of physics indicate that we've somehow reached, up to an isomorphism as you say, the very things in themselves when we talk about the fundamental constituents of matter and when you even want to reduce consciousness or maybe life as such to them? I think in a sense it does but as you say... nevermind!