Infinity and chaos

topic posted Sun, May 20, 2007 - 11:28 PM by  august
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Are Chaos and infinity definable?

It is seemingly possible to define 'actual infinty'. We can make the old fashion Aristotelian split between actual and potential infinity. This is to say that infinity is theoretical and real, but how do I avoid the theoretical infinity when attempting to discuss the real one? Isn't all of my infinity conception and thus only possible?

There is certainly a difficulty defining infinity or chaos as more than an idea.

Chaos is similar to infinity because it does not become anything more than a pattern of observed patternlessness. Patterness and finiteness are similar because they are finite observable opposites to chaos and infintiy; moreover, chaos and infinity, have only theoretic substance and are nothing more then concpets.

The evidence for chaos and infinity are based off of oppositeness, and are not of evidence themselves. In fact, they are defined in such a way that their proof is impossible to observe. For example, proving that something has infinte quality requires an inspection of its never-endingness. Proving that something has the quality of chaos requires observing that it has not pattern. Both of these required proofs are seemingly impossible because they require objective view points from which to know that there is not pattern or end to them.
posted by:
august
Vancouver
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  • Re: Infinity and chaos

    Thu, May 24, 2007 - 4:36 AM
    Well, both infinity and chaos are concepts and not observable 'realities'.

    I suppose the most obvious examples of 'infinity' would be 'space' and 'time', both of which I've long argued do not exist physically and therefore cannot be "traveled". Both can accurately be described as inifinite, but by doing so you are effectively acknowledging their nonexistence, because logically 'infinity' cannot "exist".

    I don't think that the difference between "actuality" and "potentiality" are relevant when speaking of something that does not physically interact with us. And certainly neither space nor 'time' can be defined if, as is the case with both, they cannot themselves be measured.

    I think it's a mistake to regard chaos and "patterns" as opposites; chaos, as far as I've come to understand, merely describes a failure of perception, or should I say more accurately: a failure to match perception with one's desire or expectation. "Chaos" is equatable with "noise" : both are expressions used to describe an inability to "understand" the language by which somebody or something speaks to you.

    Patterns, now, are recognizable repetitions, which comfort us because they help us to assign order to things and therefore help us to understand something (or somebody), or should I say more accurately: to help us think about or conceive something or somebody. So, there's a relationship between a lack of patterns and chaos - that doesn't mean that chaos and patterns are opposites. I think if I had to put a concept at the opposite end of "chaos", then I would prefer to choose a word like "legibility" or something similar.
    • Re: Infinity and chaos

      Thu, May 24, 2007 - 8:55 AM
      Here are some counter points and ideas I have of your arguments:

      It is not a good premise to say "logically infinity does not exist"; however, I like how you are using this premise.

      How is it that infinity does not interact with us? Can you prove this? I do not think that any human can say that they are not inside of something infinte, or that they are not having some interaction with infinity. infinity could be the sound of silence, and consciousness could be a distraction of the mind,of self, or of being.

      Chaos is not simply confusion alone, it is also disorder. The way you interpret chaos is interesting. I believe that there is order inside of things which I do not understand however. For example, if I were surrounded by a foreign language speaking population, should I think that this language is chaotic because I do not understand it? Just because I do not understand the language does not mean that it does not have "legibility" for the other speakers of it. For instances such as this one thinking of chaos as disorder helps. To further the point a child may find a structred world entirely confucing, but this does not mean that that world does not contain fluidity and coherence to the other within it..

      Patternness does not have to be repitition, for example the Fibonacci number set: 1,1,2,3,5,8,13.... Patterness can be used to site thingness in cases such as this one. So, a pattern is more like an underlying structure, and chaos is the absence of such structure.

      But, to return back to the original post, how can one know where there is an absence of structure? Can they?
      • Re: Infinity and chaos

        Sat, May 26, 2007 - 5:56 PM
        >> It is not a good premise to say "logically infinity does not exist"

        Well, I guess it was a bad way of stating what's in my head. Maybe it would be better to say "Infintiy cannot describe reality". In that sense, maybe you can see how that leads me to what I wrote before. I'm grossly unfamiliar with mathematics (my mind, heart and hands have always been in the arts), but in basic arithmetic, when you multiply anything by zero you come up with zero, and if z=0, then the statement n=z means that n is also zero. Therefore, by logic, shouldn't the equating of people or things with impossilities like "infinity", "perfection" and so on be the same as saying that those people or 'things' are impossible and, therefore, nonexistant, or zero?

        Of course . . . if you want to discuss what "existence" means, well . . . that's pretty messy territory. The most certain thing I can say is that this world that our brains have created for us throughout the course of evolution is a world created out of necessity to help promote ourselves as a growing, spreading organism (as far as I've come to understand); it's a world of names, of patterns. Chaos is a lack of understanding -- in language, in music, in painting... . Are Jackson Pollock's paintings, for example, chaotic? Absolutely, if you haven't studied them. But if you study them, hopefully you find patterns, you find lots of human meaning.

        >> How is it that infinity does not interact with us? Can you prove this?

        Well, I find it easier to say that infinity doesn't "interact" with us than to say that it "doesn't exist" (even though it happens I said that too, silly me), because while the latter is philosophically disputable, the former is empirically, I think, stable. As for "living inside" infinity, well, it seems to me that only a Thing can contain a Thing, and something that is not anyThing is noThing, and therefore nonexistant. There is no "sound" to silence unless you want to include the stuff you hear, within your body or outside of it, imagined or imported, when you're hearing "silence" -- and that begs explainiing your definition of "silence".

        But Proof? Proof is for pudding. I care about sensation, which we learn by experience.

        You cite the procession 1,1,2,3,5,8,13 . . . Well, that procession is based on a template that needs to be used every time you want to add another number - that's repetition. But, yeah, if you can give me one then I'm definitely open to the idea that a pattern can be something other than repetition. That would interest me.

        >>But, to return back to the original post, how can one know where there is an absence of structure? Can they?

        Here I'd be very hard pressed to argue that somebody CAN "know" that there lacks structure in any percievable Thing or concept whatsoever. In music, for example, you build structure out of noise by listening to it and discerning nameable parts, elements that describe sensations within you, and most importantly: patterns, which comfort us. A bassline's a pattern. A synth loop is a pattern. Drone music is pattern and consistency. These things comfort us. Why? I guess that's another discussion.
        • Re: Infinity and chaos

          Sun, May 27, 2007 - 4:10 PM
          Infinity can be an attribute of reality, or phagocytes reality. It is easier to say that reality exists inside of infinity, but that is not because one necessitates the other, but rather that true infinity would be all reality and then more.

          Impossibilities are tricky business. This is because it must be absolutely true that a thing does not, or cannot exist for it to be impossible. Instead of relying on intuition, you must be able to somehow prove that this thing cannot be. Since we are talking about infinity, and the thesis of the first post was that it is impossible to substantiate any evidence that infinity exists, then I should warn you that what you are saying is contradictory. If it is not empirically true that it does exist, then the same can be said about it's non-existence as well.

          I am not sure that I understand the logic of the answer to the question "How is it that infinity does NOT interact with us?"

          Once again, I think it is clear, it is not possible to substantiate empirical evidence that proves that you are not being influenced by infinity, or interacting with it. In regards to sensations, I might be able to somehow imagine what forever could be like, or to imagine what a non-changing state of existence is. Often these are divine imaginations, and they have to do with the heavens, or some infinite-like understanding of what God is. Because I can have these imaginations, it seems possible that they are an expression of how the infinite exists. I do not like this argument; however, it can be a cogent one. To say that the interpretations of life after death are an expression of an intuitive knowing (a sensationally premised conclusion), that infinity does exist, is a sound argument. Notice though, there is a no mention of absolute certainty.

          The Fibonacci number set. This number set continues from the before numbers, but it does not have to start at "1" as it has in the forgone example. Actually, it is a rounded-off version of the golden number set (the divine ratio), which needs no start point at all. The Fibonacci is easier to understand (without geometry). The continuing numbers are: ...21,34, 55... the repetition is the process of summation. The golden ratio exists all throughout the human body. And yet, every human body is deemed entirely unique. In this way there is order to a non-orderly thing. The same can be said about fractal geometry. (You said you may be interested in this).

          Music, as heard by the human ear, contains structure, and again it can be entirely chaotic. I hate to ask this very valid question, Could music be anyother way? The melody, and harmony aspects to music can be graphed so simply, and the notes can be seen incrementally, and the increments fit together with others sectionally, so that we have interlocking scales, circles of fifths and such things. But still, there is something interesting about the dropping of the seventh note, and there are slight inconsistencies, and then there are other quarter and eighth notes, which in western music are overlooked completely, and these harmonize. Let us not forget the chaotic nature of rythym. It all fits so well together. Like a well organized closet, it always seems that everything fits quite well no-matter how much, or how little is in it.

          There is a finite value to two harmonizing notes. This is purely mathematically expressible. The Pathagorians philosophized over this in 500 BC, and they concluded that all of the cosmos is music in another form.

          The idea that comfort is brought about from music is fine enough. What is more interesting is how inspiration might be brought about by music. It seems to me that comfort is in large supply in this world.
        • Re: Infinity and chaos

          Sun, May 27, 2007 - 8:00 PM
          HUMAN POSTED : Therefore, by logic, shouldn't the equating of people or things with impossilities like "infinity", "perfection" and so on be the same as saying that those people or 'things' are impossible and, therefore, nonexistant, or zero?

          THE RESPONSE : Since when is perfection inherently impossible ? Since you , sir, have presented the premise that perfection is impossible---the burden of proof is on you to demonstrate through deductive means (if one can) that such a premise is right .
        • Re: Infinity and chaos

          Sat, November 22, 2008 - 9:29 PM
          "There is no "sound" to silence unless you want to include the stuff you hear, within your body or outside of it, imagined or imported,
          when you're hearing "silence" -- and that begs explainiing your definition of "silence"." - Human


          A stilled heart is silent

          "One can not exaggerate infinity." - William F. Buckley

          Deaf can not hear a heart beat
          Their heart is quiet
          ly
          Felt.

          There is no "sound" to silence.
          Silence is the absence of sound.
          Silence is quiet
          ing,
          Infinitesimally moving
          To a nearness,
          Sliding relentlessly to be
          Touch.

          Senses aggregate
          Without barrier
          Melting seamlessly
          In commun
          ion.

          I wanted to say I know
          Death,
          while my heart pauses
          Still, quiet
          Not stilled with silence.
  • Re: Infinity and chaos

    Sun, May 27, 2007 - 7:50 PM
    AUGUST POSTED :Chaos is similar to infinity because it does not become anything more than a pattern of observed patternlessness .

    THE RESPONSE : On what grounds do you postulate that infinity has no pattern .? There is NO internal contradiction , nor other internal fallacy in positing that there *could be* an infinite array of cubes in serial rows extending in an array *in one direction* without end . Granted such an array would be endless in one direction, but it would NOT be devoid of pattern .
    • Re: Infinity and chaos

      Mon, May 28, 2007 - 5:15 PM
      Infinity itself is a pattern, that being neverendingness. But to observe this would require a seat higher than the one I am currently sitting in. This is metaphorical to say that it requires an objective view of forever, everywhere, and everything, which brings about another question.

      Does it matter whether infinity is actually never ending, or can it just be seemingly infinite?
      I suppose the answer who have something to do with who it mattered to, and for what purpose.
      For any human purpose, as long as it were slightly more than what could be inspected, or seen, then that is all that would matter.

      Regarding your response, I am reminded of the gamblers fallacy, which Nietzsche made when postulating eternal re-occurance.
      (Of coarse, that move would be completley opposite to what I have done here though.)
      • Re: Infinity and chaos

        Wed, May 30, 2007 - 12:40 AM
        First, Jason :

        If you can provide me with a physically supportable definition of "perfection", then perhaps I'll have some substance to work with. Until then, I can't help you, and the burden of proof is not upon me, the skeptic, but upon you, the promoter.


        Now, August :

        The idea of the "infinite pattern" seems contradictory, for isn't it logical that there can only be a pattern wherever there is physical substance? To go further: Wherever there is a pattern there is the potential for measurement, and anything that can be measured must, logically, exist physically. Infinity is contradictory to the concept of the pattern by the very fact that it implies immeasurability and lack of properties. Space (both inward and outward) and time are infinite because they can't NOT be infinite. They also, if only for this very reason, cannot exist.

        A more interesting problem: The repetition of images when you face one mirror with another. Interesting. Does the image, therefore, not exist? Of course it does. But logically this is a pattern that is, by necessity, infinite, therefore: the pattern doesn't exist. A paradox? No . . . All paradoxes, it seems to me, should necessarily flag a misconstruction of some kind, Zeno's Arrow being among the most famous, and crudely fallacious. But still, the pattern you get by facing one mirror to another exists, right? But here's the problem: Light disintegrates; it's not infinitely sustainable. Just so, the mirror images are not sustainable. If you find any problem there (other than the question of "what if light WERE infinitely sustainable?" which, honestly, I'll have to think about beyond just saying that "infinitely" is simply an adverb), then let me know.

        I kind of like that trap you've set up: "If it is not empirically true that [infinity] does exist, then the same can be said about it's non-existence as well." But this doesn't hold. Just because I say that you can't prove that fairies don't exist doesn't mean that it's possible that they exist.

        On the issue of what you call "divine imaginations": I'm not a spiritual person. I don't buy any argument that the mere fact that I can imagine that fairies exist proves that they exist, or that they CAN exist, or even that there's any observable or practical motivation for accepting any possibility that it might be warranted to consider the most distant likelihood that fairies might, in some manner or form, exist.

        Fractal geometry I haven't familiarized myself with, but as far as I've understood, isn't this merely a concept?

        Finally: You say: "There is a finite value to two harmonizing notes. This is purely mathematically expressible. The Pathagorians philosophized over this in 500 BC, and they concluded that all of the cosmos is music in another form." Yes, and another Greek suggested that the sun, moon and stars were celestial bowls that filled and emptied themselves periodically. I know I'm blowing over the poetry there, and that doesn't mean it doesn't interest me. Still . . . It's the first part I want to hear more about, about the "finite value of two harmonizing notes": I don't know what you mean, but it sounds interesting. Can you tell me more about that?
        • Re: Infinity and chaos

          Wed, May 30, 2007 - 11:40 AM
          Your "physical requirement of substance" argument reads quite linearly, which makes it nice. If find it ironic that the question you ask about harmonies presents me with a counter premise. Waves to not have physical substance, yet they have pattern. Light (waves), you say, might last forever. This is ultimately a contradiction to your original argument.

          Infinity is a measurement, as best one can tell. There are even different sizes of infinity.
          For example, if a brighter light were to be bounced between two mirrors untill it ran out, and a milder light source were to do the same, and both were measured to see which bounced the most, this would be a method of measuring different sizes of infinity.

          On another note, it is possible that faries exist. I'm sure you could find some people on tribe that would think so. It's possible that everything which cannot be seen exists. It's possible that your distain of disbelief is similar to that of mid-eval Pope's and priest's who sentenced Darwin and the like to death because of a lack of simple tangibility and convenience. The point of philosophy is to find out what you can about epistemological, metaphysical, and existential problems. This requires a patients for things like faries.

          Fractal geometry has been used to measure those things which repeat inside of themselves. It appears that there are things which do this, so fractal geometry is real. The shoreline of Britain in 1967 was measured with a map, and using the scale of the map, to measure the shoreline with a ruler, with mostly straight lines. Someone (Richardson 1961), argued that, by walking the shoreline, and measuring the travelled distance, a more accurate measurement would result. The argument was eventually made, that to a limited degree, depending on the smallness of the tools, shorelines could be measured more accurately. The walking distance estimation was not enough to satisfy B.B. Mandelbrot. He said that walking is not accurate, for if you were to measure every stone that was half covered by the sea water, then the result of such a measurement would be shown to be under-estimated.

          The only accurate measurement for Mandelbrot required the use of fractal geometry to calculate how many folds of land existed, and then reversely unfold such land and measure it linearly. It was found that there were 26 such folds for every one unit of shoreline.

          About harmonizing notes and their finite value.
          Take a note, and with this selection know that it is a wave that is being discussed. This wave presents itself to measurement. It is an amount of hertz/ second. For example, the A below middle C is 440 hertz/sec. The major 3rd of this note is of an equal ratio to the major 3rd of any other root note. These harmonies are a sign of inherent order among all notes. They are ratios of wave length which fit each other, or overlap. Five octaves above A 440, there is A 2200. The latter A peaks 2 and 1/2 times inside of the length of the former A's sign wave. (note: a sign wave is a half wave length). Notes fit one another in this way. These are the limits, or requirements of harmony. Harmonies are notes that are bound to one another.
          • Re: Infinity and chaos

            Fri, June 1, 2007 - 2:36 AM
            First of all, disdain for disbelief? I'm guessing you mean belief. I don't have any disdain for belief, either. You've got me all wrong. I’m not arguing with you to "win", or to convert anybody, but to understand things. I mean: If you truly believe something that I do not, then I want to understand that as fully as I can, and if my reaching of an understanding proves my previous conclusions wrong, all the better for me. Right?

            Anyhow, I was only using fairies as an example. I have two films on videocassette about people who believe in fairies. I own books on Irish folklore. I love these stories, and the endurance of the belief fascinates me. I feel no disrespect whatsoever for people who are convinced that fairies exist, based on their own experience / observations. However, I've yet to hear or see any actual scientific or logical support for the existence of fairies (or ghosts, for that matter, among other things), therefore I cannot believe in them. And just imagining their existence, or stating that their existence can't be DISproven, doesn't make their existence possible.

            Next, I never suggested that light might or could or even may be infinite. What I said was that the idea of a hypothetically sustainable (hence infinite) light (or other substance) would be a confounding one, were this possible. Second, while light, yes, moves in waves, it’s also composed of particles, which makes it a physical substance. A better argument would be made on sound, which has no physical substance, however even there: waves, not a Thing in themselves, describe the displacement of substances, which exist, therefore I'd think it's possible, by relation, to say that sound exists.

            >> Infinity is a measurement... etc

            Huh? While I appreciate the way that whole paragraph makes my brain whirl around in a helplessly confused state, it's also broken that informative link I was so enjoying. The disorientation I now feel is a pleasure in itself, but the pleasure is all self-created, the meaning I glean from it comes entirely from me. When I step out of the car, I find you’re gone. I don’t see you anywhere, I yell and yell, but you don’t answer me! Where are you? Your voice has vanished along with your presence. I end up having to make up everything for myself. So alone, so alone! Oh, well.

            Fractal geometry: Okay, you’re correct. Again, I’m not well versed in mathematics; but regarding repeatable patterns, well, obviously they exist everywhere. But of course, these aren’t infinite patterns. They’re patterns which often grow progressively smaller, and always, at a certain point, end.

            On your mathematical description of harmony: Now there’s something that really interests me. What you’re saying is that all harmonizing notes relate to one another in a very clean way, mathematically? If so, then can musical discord also be drawn mathematically so as to be visually recognizable? If so, then that might bring me a little further along on the question of why certain notes, juxtaposed in certain ways, tend to effect most people in specific ways -- a question I haven't been able to answer.
            • Faeries Vs. Human

              Sat, June 2, 2007 - 4:31 PM
              If you say, "I can not prove that faeries don't exist".
              This is an epistomological problem. It means that you do not have evidence that faeries do not exist. It also means that they could. If proof of the non-existence of faeries is A. You do not have A. Contrarily, to disprove the existence of faeries you say that you do not need A. To use you words, if you can not disprove something exists or does not exist, it is possible that it does.

              People talk a lot about anti-matter. Yet it carries no direct evidence. It is the solution to problems astrological, not the evident answer. Is it possible it exists? People sure think so.

              Have I interpreted you correctly? Are you understanding what I mean by 'possible', and 'could'.
              Because, what you have been saying does not hold to certain logic. Where there is the cogent possible chance that faeries do not exist, there is also the cogent possible chance that they do. Forgeting faeries for a minute, think about it in terms of 'enlightenment', 'infinity', or 'liquid diamonds'.

              The reason why I said that you have some distain for disbelief is because you assumed that faeries did not exist based on evidence which you did not have. This creates knowledge problems. I should say, you are a good blogger, and writer, and seem to be interested in many things that I am interested in.

              Regarding certain notes. It is true that A# and F# are the two most reognizable notes in the spectrum, and why?
              I assume it has something to do with the human body, and the frequency at which carbon, synaptical energy, or blood vibrates at. Or, it could have to do with matter itself, and the vibration of such.. these suggestions are all speculative, and kind of far out.
              • Re: Faeries Vs. Human

                Sun, June 3, 2007 - 3:20 AM
                So, then, is it possible that gullyflugs exist?

                As for music: I've been guessing that there's something within the brain chemistry which causes us to appreciate certain notes in certain juxtapositions (and repetitions, and time lapses) over others, and causes us to be bugged or driven to near-insanity to others. But what's led us to these reactions, evolutionarily speaking, is beyond me. The function of these reactions is something I haven't been able to figure out. This isn't even a philosophical topic, it's one of physical science.

                Is there a brain scientist in the room?
                • music and brain chemistry

                  Sun, June 3, 2007 - 11:03 AM
                  Philosophy of the mind perhaps. There is a album by a band named god speed you black empourer, which is titled "F# A# infinity"...
                  I think they mean to say "mellow, disrupted, forever". Check it out, or maybe you know it?
                  • This is the maximum depth. Additional responses will not be threaded.

                    Re: Godspeed You Black Emperor

                    Sun, June 3, 2007 - 11:12 PM
                    I know the band, I have one of their records; not that one.

                    Yes, F# and A#, together are discordant. No denying that, nosiree. As for the mellow part, obviously it's how you play that chord, and in what context, that makes it mellow or not, but I can see both, and I guess it's my leaning toward shoegazy & noisy mellowness that makes me feel the mellowness in that chord more than anything other.

                    This is definitely a matter of chemistry, I think. It's more than psychology, more than interpretation. There's something going on there in the brain that causes us to react to certain sounds in certain ways.

                    I was going to go on, but this is leading me into another topic. So, I'll create another one.
                    • F# and A#

                      Mon, June 4, 2007 - 10:34 PM
                      No, they actually have these properties are of the single notes as well, and not just in relation to one another, but as notes to the human ear. These notes are the two most distinct for their mellow and angst properties. It has nothing to do with how they are played. These notes could be in any tambre and they continue to have these properties.
  • Re: Infinity and chaos

    Sun, November 23, 2008 - 10:39 AM
    august a Posted :

    It is seemingly possible to define 'actual infinty'. We can make the old fashion Aristotelian split between actual and potential infinity. This is to say that infinity is theoretical and real, but how do I avoid the theoretical infinity when attempting to discuss the real one? Isn't all of my infinity conception and thus only possible?

    There is certainly a difficulty defining infinity or chaos as more than an idea.


    RESPONSE: Infinity is NOT hard to define at all . Infinity is extention of iterizable items (be the respective items in question extensions of empty space or particular objects, or purely mental objects) .

    Infinity is often best considered via negativia --in terms of what it is NOT . It is not something that comes to a halt (at least not in terms of a particular direction or directiveness ) .

    For example , a ray , as opposed to a line, in geometry is only infinite in on e direction to where it extends or points . It is infinite in one direction , but not in the opposite direction or any others .