VALENTINE'S DAY LECTURE IV THE PROOF, A QUICK SUMMARY OK, today is Tuesday, March 31st 2009, a beautiful day in the afternoon at Cornell. These quick summaries haven't been so quick, have they? And we have been summarizing summaries until the cows come home. The cow's symbol is Daisy by the way. But hopefully we have a good understanding of what has been said here and can repeat it back easily or at least catch someone else when they mess around with it and pull a fast one on us. "The pianist's interpretation of Chopin was sad and melancholy." Bzzzt. The pianist's RENDITION of Chopin was.... The audience's INTERPRETATION of the pianist's rendition... So this time we are going to go directly to the meat of the matter as fast as we can. THE FOUR LINES OF THE PROOF So far we have covered the second and third lines of the proof which are: 2.) DISTANCE AND LEARNING IMPLIES LEARNING BY BEING AN EFFECT. 3.) LEARNING BY BEING AN EFFECT IMPLIES NOT LEARNING WITH CERTAINTY. The 1.) line of the proof is very easy and we don't have to spend much time on it, because it is a logical tautology. It says simply either you are learning with certainty or you aren't. More formally that goes: 1.) LEARNING IMPLIES LEARNING WITH CERTAINTY OR LEARNING WITH NOT CERTAINTY. 'Not certainty' of course simply means uncertainty like what any multidimensional machine has to suffer due to its nature of separation of parts and separation from what it is learning about. Now we got to talk about logic here a bit. LOGIC Logic is a description of the meaning of the words IS and IS NOT. IS, ARE, EXISTS, and BE, are all the same thing, just different declinations, tenses and conjugations of the same idea, TO BE and TO NOT BE. An important quality of the word IS, is that it follows the following formula absolutely, without fail or exception, which we know from direct observation of things that IS. On the left is the formal statement of the pattern, on the right an easier translation. The left one however is the magipotent one. IS is IS IS means IS IS is not IS NOT IS does not mean IS NOT IS NOT is IS NOT IS NOT means IS NOT IS NOT is not IS. IS NOT does not mean IS You can't change the wording of magic incantations just to make them more grammatically correct or easier for teacher to understand and still expect them to work, now can you. So propagate the left one, not the right one, to your secret clubs. Hey if the square root of 2 could have a secret club, perfect certainty of IS can have one too! The reason that logic is perfectly certain is because it is a description of the word IS, and IS is a description of the nature of your own consciousness. You do have a consciousness, don't you? You do see color forms around you? You sure? You would bet your eternity in hell on it? You would bet everyone else's eternity in hell on it? OK, then join the perfect certainty club. You ARE, you SEE that you are, and you KNOW that you see that you are. And that is a PERFECT CERTAINTY because it can't possibly be wrong, right? You doubt that you exist? Do you doubt that you doubt? How can you not exist, and yet still doubt whether you exist or not? QED: If you can doubt that you exist, you exit, because a nothing could not wonder whether it was a something or a nothing. Descartes: I doubt I am, therefore I am. He said "THINK", I think I am therefore I am, but by to think he meant to question or wonder whether he existed or not. Because consciousness is self luminous, and self aware, it can see it exists by direct perception, it can see by direct perception that it's own DOUBT of it's existence exists, and it can see what the meaning of TO EXIST means by that same direct perception. There is no other standard of what TO EXIST means. Self aware, self luminous consciousness is there to show you! Consciousness has the highest possible ontological status of all things because of consciousness's perfect certainty of it's own existence! That's a joke of course, as there are no degrees of ontological status, either you are or you aren't. But consciousness is the only thing that can be SURE it exists! Everything else is a theory, maybe it exists, maybe it doesn't, THERE IS NO WAY TO KNOW, AND THAT IS KNOWN! So I hope the point has been made clear, you exist. Since your conscious unit can see that it IS, and isn't ISN'T, you thus have perfect certainty of your own existence and what it means to exist. Since you have perfect certainty of your own ISness and what it means TO IS, you thus have perfect certainty of logic which is merely a formal statement of what IS means. In logic text books this is usually stated as the big 3: If you IS, then you IS. Either you IS or you IS NOT. You can't be both IS and IS NOT at the same time. Ayn Rand wrote a whole book called Atlas Shrugged, about people who couldn't grok the nature of logic or consciousness (nor production and ownership for that matter). The book's 3 major sections were entitled: 1.) A implies A. 2.) Either A or not A. 3.) Never A and not A. Ever hear someone say "Logic *IS* illogical?" Well that little word *IS* in there damns them into Godel jail, because they are USING logic to deny logic and that is, well now what do we call that, hold on a moment, I will think of it, oh yeah, *MIND BROKE*. GODEL JAIL Godel jail is where people go who think in contradictions. "All truth is relative." "All generalities are false." "There are no absolutes." "There is no truth." "I can prove logic wrong." "I am certain I can't be certain of anything!" "I can't be certain of anything, and I doubt that to!" "I doubt that I exist, and I doubt that I doubt. At least I am being consistent. I think." "I am uncertain whether I am uncertain." "I am undecided whether I am undecided." "Well I am certain I exist, as far as it goes. But I could always be wrong. You can ALWAYS be wrong! Even that could always be wrong." "Maybe I just think I see two different colors around me with perfect certainty." "Maybe I am a wrong robot programmed to think that I am certain when in fact I am not and can't be. You can program a robot to think and say anything, you know." "If someone else thinks I don't exist, then maybe I don't!" "Maybe I am someone else's hallucination." Right and if we could find that other guy and give him some Prozac, you would disappear and his life would be much better, wouldn't it. MIND BROKE MIND BROKE MIND BROKE MIND BROKE MIND BROKE You don't have lots of friends like this? Sigh, I must be a magnet for idiots. THE WRONG ROBOT PROBLEM. The wrong robot problem is a serious problem for some people. particularly those who run away from perfect certainties, because the certainty of eternal cosmic pain is too much for them. A wrong robot can be programmed to think and say anything, so when you as a conscious unit say, "I can see that I see and therefore I exist", they will challenge you with, "But maybe you are just a wrong robot that has been programmed to say that you see that you see and therefore you exist, when in fact you can't see that you see, and in truth haven't a clue whether you exist or not (which is the true fate of all machines.") But the issue is not what they SAY to others, but what they see of and think to themselves. Conscious seeing that you see is not a mechanical process, even if the results of that conscious seeing are being reported by the brain and a mouth, or a line printer, Not much difference. From the outside looking in at such a person, you don't really know if he is a wrong robot programmed to claim he is a conscious being, or a conscious being programmed to claim he might be a wrong robot for that matter. But from the inside looking at himself, those that can see that they see, can be very certain that is what is going on. A robot doesn't see anything, it merely REPORTS that it does and that is based on a FORCED impulse responding to prior false impulses. In fact the ONLY thing a machine can 'see' *IS* force! So if you see that you see, then you are not a robot, wrong or right. And if you are a conscious being that is claiming to be a wrong robot, you should go see a psych or something and get your fears of daddy, girls or God cleared up. PARTY LINES A party line is that fixed idea, pet theory, or philosophical vanity that, when confronted with evidence or reason that it is wrong, overrules that evidence or reason. The core party line is the perfect certainty that: Perfect certainty is impossible, unimportant, useless, undesirable or dangerous. THE PEANUT GALLERY "At first they said it wasn't true. Then they said it was unimportant. Then they said it was dangerous. Then they said they knew it all along." WHAT IT MEANS TO EXIST Now I gotta say something about existence here. I ran into a professor once of theoretical physics who said he had no idea what existence meant. I was pressing him on the subject of perfect certainty, and he was giving me the same old same old "Oh well no, you can't be certain of anything!" Of that he was quite certain. "It's not polite to be certain of things, you could always be wrong!" So I said "You are certain you exist aren't you?" And he responded "Oh well I have no real clue what I am, or even what it means to exist." I was going to say "You're sure of that are you?" but I held my tongue. Apparently academentia is a holding pen for idiots. So look, let's end this once and for all. Existence is a quality of being that belongs in the object quality sets of objects which exist, and doesn't belong in the quality sets of objects that don't exist. There is something very simple here. Take any two colors out there in your conscious space, such as a patch of red and another patch of green. Say you are looking at two books and their bindings sitting next to each other, and the left one is red and the right one is green. Now we don't care about the alleged physical universe books, we only care about your conscious experience of the red and the green which you can see directly 'out there' in front of you. Maybe you are dreaming, imagining, or hallucinating and the physical books aren't really there, we don't care, all we care is that you see the books, see the two different colors and can tell with perfect certainty that they are TWO DIFFERENT COLORS. So on the left is an object WHICH IS RED. On the right is an object WHICH IS GREEN. Now notice, something can't BE RED, without BEING first! Redness is in fact a limitation on being. An object can be, then it can be red or green. If it is red, then it is not green, and thus BEING RED is a limitation on your nature. It's quality set is not infinite, as it is at least infinite minus green! So first notice if you are saying an object IS RED, you are saying that the object IS. Thus we can assert the following: IS RED implies IS. IS GREEN implies IS. IS ANYTHING implies IS, except IS NOT. (That's a Godel Jail joke. Sorry, Godel Jail inmates have no sense of humor when it comes to IS and IS NOT.) Now let's diagram this simply so we can deal once and for all with these high falutin' PhD's who don't know whether they exist or not. You see they may not be able to DEFINE exist in terms of other words, but they sure as hell can give you an OPERATIONAL definition of exist. So here is how this goes. We have two objects, say two different pieces of dayglo construction paper taped to the wall, the right hand one is dayglo red and the left hand one is dayglo green. And we might as well add in that we are dreaming, so there is no paper there, just two conscious renditions of what paper would look like if there were paper there! And we will call these two conscious objects A and B. Thus we have two different quality sets, one for A and one for B. The quality set for A contains three qualities, is (exists), is square and is red. The quality set for B also contains three qualities, is (exists), is square and is green. Thus between the two quality sets there are two qualities which are the same for both objects, namely is (exists), and is square. Notice the is (exists) and is square qualities are IDENTICAL between both objects. And there are two other qualities which are different for each object, namely red and green. So now go take another good look at the red and green objects in present time. Go on, go do it, right now. If you don't have two different colored objects in your environment, open your eyes. Or use the black ink and white paper you are presently reading. You wouldn't be able to read it unless there were two different colors there, right? You are sure? Notice the two qualities that are different between the two colors. Notice the red and green or black and white, and how they are different from each other. Now, notice the two qualities that are the same between the two objects, existence and squareness. Notice the existence in the first object and notice the existence in the second object and then notice how these two instantiations of existence are identical between the two objects. Instantiation means an 'instance of' rendered in actuality, namely your conscious experience. Green existence is exactly the same kind of existence as red existence. Existence is existence no matter what adorns and thus limits it. Each of the two objects exist exactly as much and in the same way as the other. If either object didn't exist, they couldn't be red or green, now could they? In the redness and the greenness you will see something that is different between those two qualities, namely their color. But in that same redness and greenness you will see something that is exactly the same between the two of them, namely EXISTS. Well you know what red and green means because of direct experience of them in your consciousness, right? I mean no one could ever possibly EXPLAIN to you what red and green are unless you actually saw them yourself in your own consciousness. AND YOU COULD NEVER LEARN WHAT RED AND GREEN LOOK LIKE BY LEARNING BY BEING THE EFFECT OF THEM. If red and green were referents and you were looking at a later symbol that was imprinted with causal data about the prior referents, the symbol might indicate that there were two different colors in the referent, but would it show you WHAT THE TWO COLORS ACTUALLY LOOKED LIKE? No. Well now you know what EXISTS means for the same reason, because of your direct experience of existence of the two colored objects in your consciousness. No one could ever explain to you what TO BE means any more than what TO BE RED means, but there it is for you to see directly and thus to know exactly and only what it means. So if one object IS A RED SQUARE and the second object IS A GREEN SQUARE, then we can see via direct perception that both objects IS, both objects have shape and both objects are square, and both objects have color, but the one object is red and the other object is green. If you don't know what IS RED means, then perhaps you don't know what IS means, But if you know what IS RED means, then you know what IS means, and thus you know what existence means, and you can see existence all around you everywhere you look. Yes, that is an operational definition of existence, you can't put it into other words. But you can look and behold, and see existence directly, and see what existence looks like right there in your face, and you can recognize it when you see it, and you can't be wrong about it, because its a direct perception, and not a stupid theory. LIMITATION ON BEING Now notice a while back I said that TO BE RED was a limitation on TO BE. That means that TO BE means you could be anything, but once you are RED, well that means you aren't GREEN! A whole mess of other things you aren't either. TO BE SQUARE means you aren't ROUND. You see? So we all know what to be red and green, and round and square mean, but we have trouble with what TO BE means, because it means existence unlimited by anything specific. Yet everything specific carries the quality of existence into it's instantiation of limitation. Dig it and don't leave it. PARALLATION - PARALLEL RELATION Now there used to be a game we would play that is useful when trying to learn a new language with someone who speaks a different tongue. You put an apple on the table and you say 'Apple!'. Now of course they know what an apple is because they eat them all the time, but they have no clue what your word 'Apple' means. The word apple (symbol) is not an apple (referent). The word apple at the start of the game could mean apple, or it could mean fruit, or it could mean food, or it could mean object, or it could mean exists. So you put an orange on the table and you say 'Orange', and then point to both and say 'Fruit'. By putting the orange on the table, you have demonstrated that apple does not mean fruit. Apples are fruits, but an apple is a more limited kind of fruit. If apple meant fruit, then you could point at both the apple and the orange and call them both apples. Then you put some chicken on the table and you say 'Meat' and then point to all three and say 'Food'. You see after a while the process of parallation will deliver an understanding to the other person of what your words do and do not mean and what level of abstraction they belong to. What you are doing is placing many different objects and thus their quality sets on the table, grouping them into classes, and then calling off the class label for the qualities that are both common and unique to that class label. You put an apple and an orange on the table and say 'fruit'. The qualities that define 'fruitiness' are common to both apples and oranges, but are a SUBSET of the total qualities that make up either an apple or an orange. So where the qualities of an apple and an orange overlay, you have a common set of qualities which are common to a whole group of different objects including apples and oranges which make them fruits. Apples and oranges are DIFFERENT subsets of fruits. And those common qualities that make up a fruit are UNIQUE to fruits, as all objects which have that particular grouping of qualities are fruits also, therefore only fruits will will have that group of qualities called fruitiness. In other words once an object has the necessary and sufficient qualities for being a fruit, adding more qualities can never change it from being a fruit! PERTINENT QUALITIES The set of qualities which are common and unique to a set of objects is called the PERTINENT QUALITIES of the class or concept that encompass all the objects in the group. Consider again a table with apples, oranges and meat on it. It is not true that all the objects on the table are apples, or fruit, but they are all food. The more different objects you place on the table, the broader and more general your common concept becomes. Apple is very specific, fruit less so, food even less so, and object even less so. In the limit, if you were to place EVERY OBJECT IN EXISTENCE on the table, what would be the only remaining common quality to all of them? You got it Goober, existence. So if you do this process in your head with the universe around you, take a look at EVERYTHING you see, and ask yourself repeatedly what the common quality is to all these things, eventually you will differentiate out 'existence', and then you will know exactly what existence means and you will be seeing it directly in everything you have looked at. Be sure to spot yourself amongst all those things also, so you will see that you also exist. Then you can throw your PhD out, because you are no longer certified stupid. By the way the word PARALLATION means Parallel Relation, and really should be Parallel Qualities, meaning common qualities. For example, all apples are related to the class of apples, and all oranges are related to the class of oranges, so we have two separate relations going on 'in parallel' or at the same time. It is the two separate relatingnesses going on at the same time that demarc the fact that there are two separate groups being defined, and allows us to discriminate between them and understand their labels (language) as intended. Another way of looking at this is, every object on the table is RELATED to each other by COMMON (parallel, similar) qualities, and parallation is the mental process of gleaning those common qualities to determine the meaning of a word. Parallation is a terrible word and should be struck from the language, but until someone comes up with a better word for this process, we are stuck with it. COMMON AND UNIQUE The process of parallation is used to determine or define the pertinent quality set of a class of objects that are related by common and unique qualities in their quality sets. Common means every object in the class has the pertinent quality set. Unique means that every object that has the pertinent quality set, is in the class. You can run this both ways. You can start with a group of objects, and try to guess the pertinent qualities that are common to them. This method is used to learn a new language when the pertinent quality sets of words are already known to the other person, but not to you. So he shows you groups of objects and words until you get what the word means. Any baby learns this way. Or you can DEFINE a pertinent quality set out of whole cloth, and then try to figure out which objects belong to the set. PHILOSOPHY 101 Back in '69 freshman year, I got a C+ in philosophy 101 for laying parallation out in detail for teacher. His comment was "There is some thinking going on in this paper." Of course it didn't help my grade that I had skipped half the class and made jokes at his expense when I did show up. Hey I was majoring in pot back then, and I wasn't about to let school get in the way of my education. Yet sometimes I wonder what the guy who got an A wrote for his term paper. THE TOP LEVEL CONCEPT Yeah I know this is boring, we will get back to God and damnation shortly. As a last comment here, it is probably NOT true that 'existence' is the highest level concept, because there are objects which do not exist. Formally we say there are actual existences, and hypothetical existences. Unicorns are objects with well delineated quality sets, but they don't exist in the world of actual existence, but do exist in the world of hypothetical existence. This creates great room for confusion, because we don't like to say that unicorns exist, but we do like to use the word IS to describe them, 'They is horses with one horn.' So when we say that something exists, do we mean actually or hypothetically? Formally there is no problem, we just have to be aware that the popular usage of TO EXIST means actual existence and not hypothetical existence, even though the formal meaning includes both. But trying to get this across to Goober and Dufus can be hard. And what about objects that don't exist at all, in either sense? Well operationally we can just say that once an object is defined with a quality set, then it exists hypothetically in any case. One would expect the broadest and highest level class to have but one quality in its pertinent quality set. If it had more than one, there would be fewer objects in it as each added quality is a further limitation on its nature. There are more square things, than there are square and red things. Thus square is a broader class (has more objects in it) than the class of red squares. In other words we are looking for the class that contains all things that can be classified. In seeking the class that contains all objects everywhere, we need it to be free of limiting qualities of any kind. We said that the quality 'IS' is existence free of any limitation, but we also pointed out there are at least two kinds of existence, actual and hypothetical, so we have contradicted ourselves. If we are willing to accept that existence includes both actual and hypothetical existences, then we have our top level concept in existence. But we are going to take a different route here and say that both actual existences and hypothetical existences are different objects with different quality sets, one containing actual-is, and the other containing hypothetical-is. Thus both actual existences and hypothetical existences are subsumed under the class called OBJECTS. The one quality common and unique to all objects is having a quality set whether empty or not! Thus both somethings and nothings are objects. I will leave it up to the astute reader to smell out the Godel jail in the above and demarc it carefully so no one falls into it. So we can conclude that the broadest concept of all is OBJECT, and everything that is or could be, can rightly be called an object. In other words there is nothing that is not an object. Which means classes and qualities are objects too! And yes Goobie, if you are not careful you will be visiting the Bertrand Russell ward of the Godel Jail insane asylum very soon. BERTRAND RUSSELL AND THE FIRST GODEL JAIL Russell was one of the world's greatest philosophers and he spent an entire summer in Godel Jail looking at a blank piece of paper trying to figure out if the class of all classes that were not members of themselves, was a member of itself, or not. That's like asking what is the truth value of: "This statement is false." Russell had gotten himself into a world class Godel Jail, and it took him a long to time fix the damage. The answer is, if you assume the statement is true then it is false, and if you assume it false, then it's true. Thus the statement is a contradiction and thus logically false. It is kind of the opposite of a logical tautology which is always true. Formally we say the statement is degenerate, that is, not a Well Formed Formula or WFF (pronounced WOOF). This arises because the statement is self referencing AND self denying at the same time. Bad boy. Russell spent the next summer looking at another blank piece of paper trying to figure out if the class of all classes that WERE members of themselves, was a member of itself. This was like asking what is the truth value of: "This statement is true." The answer is, if you assume the statement is true, then it is true, if you assume it is false, then it is false. The decidability of this statement is irrelevant because it doesn't matter if you consider it true or false, but although not a contradiction, it is still degenerate as hell. In a fit of revenge Russell left the last one up to Godel as a home work assignment while Russell went off and played with the girls on the beach: "This statement is undecidable." The answer is, if you assume it is true, then it is false because true wouldn't be an undecidability. And if you assume it is false, then it is also false, because false also wouldn't be an undecidability. So it is tempting to claim "This statement is undecidable" is in fact false because it becomes false whether you assume it true or false. So now that you have decided that 'this statement is undecidable' is in fact false, it has become decidable, which of course makes it more false. But if you assume the statement is UNDECIDABLE, then the statement is true as it claims, which is a contradiction, as being true is not an undecidability. An so into the Russell spin bin ward you go. Fortunately the existence of degenerate or undecidable statements in logic does not influence in any way the validity of the decidable statements of logic. In other words the undecidability of any particular logical statement will never have any possible influence on the outcome of a decidable statement. IS is IS remains true, as does IS isn't ISN'T. Thus undecidables live in their own black hole unable to influence any part of the real world around them. In the end undecidables are unWFF's, not Well Formed Formulas, and an unWFF can't influence a WFF, and only WFF's apply to the real world. Those that argue that all of logic is undecidable because some small degenerate areas are undecidable are mind broke. By the way the undecidability of degenerate statements must not be confused with the undecidabilities that Godel was eventually to become famous for, which had nothing to do with the self denying degeneration of the above examples. But again the same rule applies, the existence of undecidabilities in any logic or arithmetic, whether degenerate or not, does not influence the validity of decidabilities in those same areas. So logic holds whether people want it to or not. WHY IS KNOWING YOU EXIST SO IMPORTANT Well the mere fact that you CAN be certain of your own existence is beyond astounding and undermines just about every thought that anyone has ever had on the subject of how things work, and what is true and what isn't. The second fact, that everyone is using their consciousness, which can be perfectly certain of its own existence, to symbolize an alleged physical universe, which no one can ever be certain about anything, further aggravates that astonishment. People apparently care more about what their consciousness represents to them about the alleged physical universe, than about the nature of the representer, their conscious unit itself. THE NATURE OF THE REPRESENTER IS MORE IMPORTANT THAN THE NATURE OF THE REPRESENTED. Thus pushers of the party line, those who are certain they can't be certain of anything, let alone their own existence, are a walking insult to the glory of God in carnation. That they, too, ARE that same multi I-AM God in carnation just adds to the mystery. Frankly I think that PhD's that don't know if they exist or not should be execrated on the spot. After being tested for existence of course. Wouldn't want to execrate some poor guy who doesn't exist, now would we? To execrate means to call down the damnation of the Devil upon. You know, if someone doesn't know if they exist, they certainly don't know if YOU exist either. Maybe its fine if they don't know WHAT EXISTENCE IS or MEANS, but it is not OK for them to not know whether they exist or not. And if they don't know you exist, then they don't know if you feel pain, and they also don't know if they care or give a damn if you feel pain. Next time you run into someone who hurts, ask them if they are SURE they hurt. If they say yes, point out that a machine can't do that. Then ask them if they are sure they exist. If they say no, point out to them the cognitive dissonance of being certain they hurt, but not being sure they exist. The pain exists but they don't? A machine can't even know that it exists, let alone that it hurts. And since all pain is SELF LUMINOUS KNOWING PAIN, a machine can't hurt at all. These people who don't know if they exist or not, who are not capable of operating the perfect certainty facility (faculty) of their own consciousness, are very dangerous people to have around, building atom bombs and pretty red buttons to go with them. Kind of like the Staples Red Button that says 'That was easy!' There are people who don't care if they leave the Earth growing green or glowing green. They generally are certain of things they can't possibly be certain of, their personal bigotry for one, and not certain of things they can be certain of, namely their own conscious selves. If ever there was a scourge on the face of the Earth, on society and the well being of mankind, these are them. I know they are our brothers like everyone else, but it is time to call an idiot and idiot and refuse to allow society to institutionalize such idiocy in our halls of worship and lower learning. Let alone the halls of government and power. "Everyone should be allowed to think what the want!" Fine, I think people should have a license to think! The Proof is an effort to end idiotism in our life. SCIENCE AND RELIGION REVISITED You know, a while back in a moment of distemper I said, "In it's race to Armageddon, religion is trying to destroy the world, and in it's race to build weapons of mass destruction, science is trying to provide religion the means of doing so." Considering those good people in science and religion, this is untrue and highly unfair. But considering those bad people in science and religion, it's a fair take, and if you add in the bad people in government and big business where war is big money and thus security for them and theirs, you have a world scene that is a few control rods short of a stable nuclear pile. About the only people with clean hands are the artists. OK, let's take a break. Homer VALENTINE'S DAY LECTURE I - THE PROOF, A QUICK SUMMARY http://www.clearing.org/archive?/val/val1.txt VALENTINE'S DAY LECTURE II - THE PROOF, A QUICK SUMMARY http://www.clearing.org/archive?/val/val2.txt VALENTINE'S DAY LECTURE III - THE PROOF, A QUICK SUMMARY http://www.clearing.org/archive?/val/val3.txt VALENTINE'S DAY LECTURE IV - THE PROOF, A QUICK SUMMARY http://www.clearing.org/archive?/val/val4.txt VALENTINE'S DAY LECTURE V - THE PROOF, A QUICK SUMMARY http://www.clearing.org/archive?/val/val5.txt ------------------------------------------------------------------------ Homer Wilson Smith The Paths of Lovers Art Matrix - Lightlink (607) 277-0959 KC2ITF Cross Internet Access, Ithaca NY homer@lightlink.com In the Line of Duty http://www.lightlink.com Tue Apr 14 15:01:32 EDT 2009