Curiously, I found the Everything List, because I wanted to to create a "A Universe Where Everything Can Exist" ( https://mindey.com/world.pdf ), which the Google search of 2007 returned me to my search query "How to create a universe, where everything can exist?"
So, suppose that we create a universe, where everything exists, -- would that universe be a superset of all possible universes, or, just the same set?
On 26 Nov 2020, at 18:57, Mindey I. <min...@mindey.com> wrote:Curiously, I found the Everything List, because I wanted to to create a "A Universe Where Everything Can Exist" ( https://mindey.com/world.pdf ), which the Google search of 2007 returned me to my search query "How to create a universe, where everything can exist?”
So, suppose that we create a universe, where everything exists, -- would that universe be a superset of all possible universes, or, just the same set?
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On 27 Nov 2020, at 15:00, Lawrence Crowell <goldenfield...@gmail.com> wrote:This is a part of what I said earlier. Think of this with Bayesian statistics with P(A∩B ) = p(A|B)p(B) = p(B|A)p(A).
With an excluded middle with A∩B = Ø we can only conclude that p(A|B) = p(B|A) = 0 and so these correspond to situation with absolutely zero prior or posterior probabilities. So if some state of affairs is contradictory, then they have zero probability.
In quantum logic we can think of this according to destructive interference, so there are physical states that cannot exist by destructive interference.
LCOn Friday, November 27, 2020 at 4:14:05 AM UTC-6 Bruno Marchal wrote:On 26 Nov 2020, at 18:57, Mindey I. <min...@mindey.com> wrote:Curiously, I found the Everything List, because I wanted to to create a "A Universe Where Everything Can Exist" ( https://mindey.com/world.pdf ), which the Google search of 2007 returned me to my search query "How to create a universe, where everything can exist?”What do you mean?In such a universe there would be circle with four sides?The word" thing” needs a presentation or representation in some theory of “thing".I urge people to study a bit of mathematical logic which explains all this.So, suppose that we create a universe, where everything exists, -- would that universe be a superset of all possible universes, or, just the same set?”everything” is too much ambiguous without a theory of the things which are assumed.All notions of whole, are limited when made precise enough, or are inconsistent. The term “universe” is as bad as the term “god” when used out of an hypothetical frame.Today, we can approximate string notion of everything is classical set theory, but like in arithmetic, you will always miss the big whole. The collection of all set cannot be a set. The number of numbers cannot be a number, the whole physical reality cannot be a physical object … Now, this can be doubted if you use a special set theory allowing universal object, like Quine's New Foundation, but this does not prevent other type of limitations.Bruno--
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On 27 Nov 2020, at 15:00, Lawrence Crowell <goldenfield...@gmail.com> wrote:This is a part of what I said earlier. Think of this with Bayesian statistics with P(A∩B ) = p(A|B)p(B) = p(B|A)p(A).What are A and B. What is the probability space? (OMEGA). I am not sure what are your assumption. It seems that you assume some probability theory.
On 9 Dec 2020, at 20:31, Lawrence Crowell <goldenfield...@gmail.com> wrote:On Tuesday, December 8, 2020 at 8:01:30 AM UTC-6 Bruno Marchal wrote:On 27 Nov 2020, at 15:00, Lawrence Crowell <goldenfield...@gmail.com> wrote:This is a part of what I said earlier. Think of this with Bayesian statistics with P(A∩B ) = p(A|B)p(B) = p(B|A)p(A).What are A and B. What is the probability space? (OMEGA). I am not sure what are your assumption. It seems that you assume some probability theory.A and B just stand for events or outcomes.
Bayes theorem is really similar to Boolean logic,
but where instead of 0 and 1 there are probabilities with a measure in between these two Boolean limits. It really is a generalization of standard logic, and as such embeds the theorems that apply to such. That is a bold unproven statement on my behalf, but it at least makes sense.
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On 9 Dec 2020, at 20:31, Lawrence Crowell <goldenfield...@gmail.com> wrote:On Tuesday, December 8, 2020 at 8:01:30 AM UTC-6 Bruno Marchal wrote:On 27 Nov 2020, at 15:00, Lawrence Crowell <goldenfield...@gmail.com> wrote:This is a part of what I said earlier. Think of this with Bayesian statistics with P(A∩B ) = p(A|B)p(B) = p(B|A)p(A).What are A and B. What is the probability space? (OMEGA). I am not sure what are your assumption. It seems that you assume some probability theory.A and B just stand for events or outcomes.But what is the space of probability? What is Kolmogorov OMEGA?
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Mindey asked a very interesting question, and I've been thinking about it while following the discussion. I don't have a good answer, but I might have a good question. I propose another take: the discussion so far has been in terms of quanta, but what if we reframed it in terms of qualia?Imagine the "universe" in terms of the set of all first-person experience moments of all of its inhabitants. Is there a limit to novelty here? Or can qualia also display unbounded complexity?
It would seem to need a definition of a "first person experience moment". Personally I don't think my experiences are very big in information terms. Notice how easily we are fooled by illusions, which tells me that a lot of our "experience" content is fabricated.
But I don't think by experience comes in "moments". They have extent in experienced time and even overlap. And again there is fabrication. If you look a someone talking on TV, you see their lips and their sounds as synchronized. And even as you move further away from the TV you continue to perceive them as synchronized...up to a point at which you suddenly start to see the sound as delayed. Your brain was imposing synchronization earlier.
It would seem to need a definition of a "first person experience moment".
Personally I don't think my experiences are very big in information terms. Notice how easily we are fooled by illusions, which tells me that a lot of our "experience" content is fabricated. But I don't think by experience comes in "moments". They have extent in experienced time and even overlap. And again there is fabrication. If you look a someone talking on TV, you see their lips and their sounds as synchronized. And even as you move further away from the TV you continue to perceive them as synchronized...up to a point at which you suddenly start to see the sound as delayed. Your brain was imposing synchronization earlier.
BrentOn 12/10/2020 7:14 AM, Telmo Menezes wrote:Mindey asked a very interesting question, and I've been thinking about it while following the discussion. I don't have a good answer, but I might have a good question. I propose another take: the discussion so far has been in terms of quanta, but what if we reframed it in terms of qualia?Imagine the "universe" in terms of the set of all first-person experience moments of all of its inhabitants. Is there a limit to novelty here? Or can qualia also display unbounded complexity?TelmoAm Fr, 27. Nov 2020, um 18:35, schrieb Tomas Pales:The idea of an all-encompassing set (a set of all sets) is inconsistent, for example because the power set of a set (=the set of all subsets of a set) is an even bigger set. If a set is infinite then its power set has an even bigger infinite size. So there is no biggest set, just as there is no biggest number and no biggest infinity. There just seems to be a never-ending hierarchy of sets, from the empty set upward and maybe there are also sets that have no bottom, that is they contain sets that contain sets etc. without end. But everything needs to be kept consistent and I have heard that according to Godel's second incompleteness theorem there may be inconsistencies lurking in infinities which we may never be able to detect.On Thursday, November 26, 2020 at 6:57:47 PM UTC+1 Mindey I. wrote:Curiously, I found the Everything List, because I wanted to to create a "A Universe Where Everything Can Exist" ( https://mindey.com/world.pdf ), which the Google search of 2007 returned me to my search query "How to create a universe, where everything can exist?"So, suppose that we create a universe, where everything exists, -- would that universe be a superset of all possible universes, or, just the same set?
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On Thursday, December 10, 2020 at 4:14:42 PM UTC+1 telmo wrote:Mindey asked a very interesting question, and I've been thinking about it while following the discussion. I don't have a good answer, but I might have a good question. I propose another take: the discussion so far has been in terms of quanta, but what if we reframed it in terms of qualia?Imagine the "universe" in terms of the set of all first-person experience moments of all of its inhabitants. Is there a limit to novelty here? Or can qualia also display unbounded complexity?No serious philosopher/linguist I know of argues for a bound there in principle. At least not in my modest reading of antique treatments, and neither more recently in Baumgarten, Kant, Hegel, Nietzsche, Valéry, Heidegger, Adorno, and contemporary thinkers. I wouldn't think Bruno does either with []p & <>t & p.
And moving from sensation to aesthetic sensation, or sets of sensations pursued as ends in themselves, subjectivity liberates the richness of reality (or Bruno's "p" if you want) to be experienced as a pleasurable confirmation of its broad and limitless accessibility to us. We pursue that unbounded complexity.
Even if experiencing reality is not sharable in its entirety or with absolute precision, the pursuit and analysis of accounts of sensation or experience reports, can be useful in guiding us toward the good stuff, e.g. conjunction of novel/unknown with a particular pleasure. PGC
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Am Do, 10. Dez 2020, um 20:48, schrieb PGC:On Thursday, December 10, 2020 at 4:14:42 PM UTC+1 telmo wrote:Mindey asked a very interesting question, and I've been thinking about it while following the discussion. I don't have a good answer, but I might have a good question. I propose another take: the discussion so far has been in terms of quanta, but what if we reframed it in terms of qualia?Imagine the "universe" in terms of the set of all first-person experience moments of all of its inhabitants. Is there a limit to novelty here? Or can qualia also display unbounded complexity?No serious philosopher/linguist I know of argues for a bound there in principle. At least not in my modest reading of antique treatments, and neither more recently in Baumgarten, Kant, Hegel, Nietzsche, Valéry, Heidegger, Adorno, and contemporary thinkers. I wouldn't think Bruno does either with []p & <>t & p.It did not occur me to ask linguists, but fair enough. I would say that there is a correspondence between language and qualia, but that is a deep rabbit hole. Language clearly has boundless complexity, but this does not convince me that the qualia it points to also do. We can easily fall into Borat's "and is this cheese?" scenarios.
And moving from sensation to aesthetic sensation, or sets of sensations pursued as ends in themselves, subjectivity liberates the richness of reality (or Bruno's "p" if you want) to be experienced as a pleasurable confirmation of its broad and limitless accessibility to us. We pursue that unbounded complexity.Yes, but what if "richness of reality" is just a qualia without much diversity?
On 10 Dec 2020, at 16:14, Telmo Menezes <te...@telmomenezes.net> wrote:Mindey asked a very interesting question, and I've been thinking about it while following the discussion. I don't have a good answer, but I might have a good question. I propose another take: the discussion so far has been in terms of quanta, but what if we reframed it in terms of qualia?Imagine the "universe" in terms of the set of all first-person experience moments of all of its inhabitants. Is there a limit to novelty here? Or can qualia also display unbounded complexity?
TelmoAm Fr, 27. Nov 2020, um 18:35, schrieb Tomas Pales:The idea of an all-encompassing set (a set of all sets) is inconsistent, for example because the power set of a set (=the set of all subsets of a set) is an even bigger set. If a set is infinite then its power set has an even bigger infinite size. So there is no biggest set, just as there is no biggest number and no biggest infinity. There just seems to be a never-ending hierarchy of sets, from the empty set upward and maybe there are also sets that have no bottom, that is they contain sets that contain sets etc. without end. But everything needs to be kept consistent and I have heard that according to Godel's second incompleteness theorem there may be inconsistencies lurking in infinities which we may never be able to detect.On Thursday, November 26, 2020 at 6:57:47 PM UTC+1 Mindey I. wrote:Curiously, I found the Everything List, because I wanted to to create a "A Universe Where Everything Can Exist" ( https://mindey.com/world.pdf ), which the Google search of 2007 returned me to my search query "How to create a universe, where everything can exist?"So, suppose that we create a universe, where everything exists, -- would that universe be a superset of all possible universes, or, just the same set?
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>> On 12/13/2020 9:11 AM, Bruno Marchal wrote:
>> We cannot start from consciousness,
> and we cannot start with matter, which are the notion that we have to explain from numbers,
> Why can't you start from consciousness. It's more immediately known than numbers.
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I agree. I'm an advocate of the engineering solution to the "hard problem of consciousness". When we can build AI's that act intelligently and explain their conscious thoughts and we can adjust them so that they are more or less humorous or optimistic v. pessimstic or intuitive v. contemplative, etc...then we will have understood as much as there is to understand about consciousness.
On 10 Dec 2020, at 16:14, Telmo Menezes <te...@telmomenezes.net> wrote:Mindey asked a very interesting question, and I've been thinking about it while following the discussion. I don't have a good answer, but I might have a good question. I propose another take: the discussion so far has been in terms of quanta, but what if we reframed it in terms of qualia?Imagine the "universe" in terms of the set of all first-person experience moments of all of its inhabitants. Is there a limit to novelty here? Or can qualia also display unbounded complexity?With Mechanism, we have to separate clearly the ontology, which is given by the minimal things that we have to assume because we cannot derive them from simpler thing, and which has to be enough rich to support a universal machine. There is some amount of latitude here, because we can assume any universal machinery(*). As everyone believe already in natural numbers and the laws of addition and multiplication, I use them (albeit in my course I prefer to use the combinators, but once we have them we have the numbers+laws, and vice versa.
Then, everything is explained, even imposed, by the fact that we get all the universal numbers, and that they all discover the nuance imposed on provability by incompleteness, which are the nuances between, truth, belief, knowledge, sharable observation (quanta) and the non sharable observation (qualia).First incompleteness separate truth (p) from provability ([]p), and it makes provability into a belief predicate, forbidding it to be a knowledge predicate (which can be proven to NOT exist, which is coherent with the fact that consciousness and qualia will not be definable by the machine, but still deferrable too indirectly assuming mechanism and some notion of (arithmetical) truth (itself not definable). This entails that provability-and-truth will obey a knowledge logic, not definable by the machine about itself, but still deferrable, just by using the original idea of Theaetetus: knowledge is true belief, and rational knowledge is true provable belief ([]p & p). Sharable Observation is given by []p & <>t (which leads to probability logic)
and private observation (qualia, and “unfortunately” also the quanta (which becomes first person plural, making physics a psychological reality) is given by applying Theatetus’ move again leading to []p & <>t & p.This gives 8 different mathematical theories, and the observable part (private and public) are testable, and can be said to fit rather well with physics, given that we get a many-histories interpretation of arithmetic, but also a quantum logic for the first person plural locally sharable quanta. In fact we get (up to some details I skip here) an intuitionist logic for the knower, a quantum logic for the observable, and an intuitionist quantum logic for the qualia.The logical explanation follows:NUMBER => CONSCIOUSNESS => PHYSICAL-LAWSWe cannot start from consciousness, and we cannot start with matter, which are the notion that we have to explain from numbers, when we assume Mécanisme, and indeed, the universal numbers provide that explanation, and it is testable as it leads to number/machine physical laws, that we can compare with Nature.I would have preferred by far that the quanta appears at the []p & <>t level,
but they appear only in []p & p, and []p & <>t & p, making physics a first person plural construct (with p’s interpretation limited to the partial computable formula, which are the sigma_1 (true) sentences.You can see any universal number in arithmetic as the initialisation of a sheave of (aleph_0, or bigger) computational histories, in the universal dovetailing (aka the sigma_1 truth). Those are the differentiating histories which, from the pov of the machine, and below their substitution level, select a continuum of continuations obeying to different mathematics (intutionist, quantum, or both) corresponding to each self-referential modes imposed by incompleteness.This makes also the universal “virgin” (unprogrammed) machine) already maximally (somehow) conscious,
but it is a highly dissociative sort of consciousness, out of time and space. Time and space should arise from the subjective time (canonically related to the intuitionist logic of the knower. (S4Grz and S4Grz1 can be see as a logic of evolving state of knowledge).The notion of universal machine (Post, Kleene, Turing, Church, Markov, arguably Babbage) structured canonically the classical (sigma_1) arithmetical reality in 8 internal modes, differentiating on their first person histories.Like in Neoplatonism, but also many eastern school of philosophy, Nature is the product of the universal number self-contemplation.The bomb here are the discovery of the universal number, mainly by Turing, and the incompleteness which results, and (the subtle point seen by Gödel, but made clear by Hillbert and Bernays, and Löb) that with enough induction axiom (like PA) the universal machine can reflect its incompleteness and its consequences, including that partial “free will”, the hesitations, and the unavoidable complications in the local neighbourhoods. The core of the low level, not reflective, consciousness is the fixed point of a semantical sum up of all histories,
a bit like all the numbers satisfy an empty set of equations, or that the unary intersection of the empty set is the collection or classe of all sets. Locally, the universal machine are never “completely” satisfied, but that’s why histories develop. It is a sort of “eternal” travel from G to G*,
and fake science/religion comes from confusing one made of self-reference with another.Bruno(*) I recall what those things are. Take any formal (Turing) universal programming language. Enumerate the functions with one input/variable, with repetitions, through the enumeration of all the programs, in the lexicographic order (by length, and then alphabetically for those having the same length). This gives the phi_i (that is all the (partial) computable functions phi_0(n), phi_1(n), phi_2(n), phi_3(n) … That is a universal machinery. They have an important property, related to the fact that this enumeration is itself computable, which is that there are numbers u such that phi_u(<n, m>) = phi_n(m). Here m is called the program/machine, m is called the data or input, and u is called the computer, or the universal machine, or the universal number, or the universal word, depending of the chosen universal machinery.If, given a universal machinery, you define on N (the set of all natural numbers), an operation * by n * m = phi_n(m), you make N into a combinatory algebra. So the combinators provide both a universal machinery, but also an abstract theory of all universal machineries. Same in presence of Oracle, and that plays some role in the measure problem. The measures associated with the first person point on view relies on all sigma_1(a), with a “real”, that is why it is a continuum, and the “sum on dreams” seems to be a Lebesgue integral…). The whole phenomenology can be formalised in ZFC + PD (ZF + Choice + Projective indeterminacy).TelmoAm Fr, 27. Nov 2020, um 18:35, schrieb Tomas Pales:The idea of an all-encompassing set (a set of all sets) is inconsistent, for example because the power set of a set (=the set of all subsets of a set) is an even bigger set. If a set is infinite then its power set has an even bigger infinite size. So there is no biggest set, just as there is no biggest number and no biggest infinity. There just seems to be a never-ending hierarchy of sets, from the empty set upward and maybe there are also sets that have no bottom, that is they contain sets that contain sets etc. without end. But everything needs to be kept consistent and I have heard that according to Godel's second incompleteness theorem there may be inconsistencies lurking in infinities which we may never be able to detect.On Thursday, November 26, 2020 at 6:57:47 PM UTC+1 Mindey I. wrote:Curiously, I found the Everything List, because I wanted to to create a "A Universe Where Everything Can Exist" ( https://mindey.com/world.pdf ), which the Google search of 2007 returned me to my search query "How to create a universe, where everything can exist?"So, suppose that we create a universe, where everything exists, -- would that universe be a superset of all possible universes, or, just the same set?
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I agree. I'm an advocate of the engineering solution to the "hard problem of consciousness". When we can build AI's that act intelligently and explain their conscious thoughts and we can adjust them so that they are more or less humorous or optimistic v. pessimstic or intuitive v. contemplative, etc...then we will have understood as much as there is to understand about consciousness.
BrentOn 12/14/2020 4:46 PM, Lawrence Crowell wrote:I wince when people bring consciousness into scientific discussions. It is not entirely clear how consciousness can ever be a fully scientific subject. Maybe within the soft problem limits it can be somewhat scientific. The qualia or hard problem I think is outside of science.LCOn Monday, December 14, 2020 at 7:36:08 AM UTC-6 johnk...@gmail.com wrote:On Mon, Dec 14, 2020 'Brent Meeker' via Everything List <everyth...@googlegroups.com> wrote:>> On 12/13/2020 9:11 AM, Bruno Marchal wrote:>> We cannot start from consciousness,I agree because the scientific method is of no use for consciousness. So instead start with Intelligent behavior, aka The Turing Test.> and we cannot start with matter, which are the notion that we have to explain from numbers,That is an unwarranted assumption on your part. You don't need numbers to explain matter, you need matter to explain numbers.> Why can't you start from consciousness. It's more immediately known than numbers.Why can't you start from intelligent behavior. It's more immediately known than either. It takes intelligence to conclude "I think therefore I am".John K Clark--You received this message because you are subscribed to the Google Groups "Everything List" group.To unsubscribe from this group and stop receiving emails from it, send an email to everything-li...@googlegroups.com.To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/cb9dcbd1-5106-43a2-8549-67e43ca1272dn%40googlegroups.com.
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I think with cyber-neural interlinks where we will have thoughts and sensations communicated we will come maybe to some understanding. The barrier between subjectivity and objectivity will be at least partially penetrated.