The limit of the question

Once I was speaking with my step-father and he told me about how the Buddha attempted to describe the size of an atom by comparing the sizes of things available to the senses, and multiplying that relative smaller size many times. My step-father was convinced that the Buddha knew the size of an atom and had got it in line with scientific knowledge on the subject. Whether or not Buddha got it right in this case I think is beside the point. The point is that the Buddha went no further than this. He described a smallest particle and asserted that it was smallest– atomic. This is not in line with the current scientific attitude. They find a smallest particle and then the race continues to find yet a smaller one.

I believe the Buddha stopped at his smallest particle and looked no further for purely ethical reasons. He was putting a limit over the domain that he would protect with his religion and his dhamma. He didn’t say so, but going further, or smaller, than his smallest particle, as an act of body, speech or mind, puts you outside his protection and his teaching.

Now we turn to the consequences of our splitting the atom– first with mind, then with speech, and finally with body, we put the entire world in danger of going up in flame. In our case, the Buddha’s teaching on heedfulness is in a sense largely unhelpful, because the fear and peril of nuclear war is paralyzing. And yet scientists seem to believe that continuing their inquiry further and further to ever smaller particles would somehow save us, rather than just put us in more danger. I don’t think scientists have anything reasonable on why their pursuits should not just put us in more danger. Danger of poisoning our water, our land, danger of WMD, pandemics. Quantum computers are great, but what about Quantum bombs? News treats scientific “progress” with wonderful possibilities for technologies, but rarely treats the way a new idea can be misused and misinterpreted to serve people who are less well-meaning than the truth-devoted ideal scientist. When will we stop uncritically allowing scientific ideas into our societies?

And the question may be put to the Sangha, whether the threat of nuclear war, which seems rather abstract involving particles I can’t see and causal relations between presidents and cultures of people I am removed from; whether this threat that I may at any time go up in flame or some of my friends may burn, or that my friends might feel the pain of their friends dying in fire, is relevant to the here and now? In other words, is it Dhamma; is it a real threat? Is fear of it justified? It may seem that we should just pay attention to what is before us and pretend that splitting subatomic particles just isn’t, in the present moment, a real problem. If we do that, and end up burning, should we look to our past karma as the cause, and not the strange modern predicament that we hear about on the news? It seems that this is a clear impasse between Buddhism and modern society, and that “what is relevant?” “What is Dhamma?” is actually in question, rather than immanently apparent.

There is no service in denouncing scientists for their actions in creating WMDs, nor is there service in finding fault in Buddhist doctrine in how it helps or hurts us in our current plight.

The serviceable question is what do we do now, that we have irrevocably put ourselves in such a danger that heedfulness, inquiry, and knowledge are no longer unequivocally good.

I believe what we should do is to inquire into where the ethical limits of our knowledge ought to be. Obviously, subatomic particles in isolation, as particles of an atom, should be recognized as an unethical idea. It does not matter if subatomic particles are “true” or “real.” Any lie is “real enough” or has some truth in it, otherwise it would not see the light of day. Realizing that any lie has truth in it is unhelpful, it is a realization that will do more harm than good, even though it is true. In the same sense, a subatomic particle is a terrible lie, or a harmful truth, and, as Buddha must have realized, we must set a boundary against inquiry in this direction. We have enough technology to feed us and care for us. What we need is the sanity to recognize we have enough food (and to start sharing it); to recognize how small is small enough, how much truth us truth enough (and how little truth constitutes a lie), how much heedfulness, inquiry and knowledge is enough, when to speak of truths, and when a truth should remain unspoken, and left outside our motivations for action. After all, using small technical words such as subatomic particle restricts our speech to only a vary small aspect of the world. In other words, it is more unreal than real, less about the world and more about something else.

The wisdom of the Buddha is seen most powerfully in recognizing when he chose to be silent. He was silent on all things except on how to end suffering for oneself. The time to thoughtfully and powerfully set limits on scientists’ ability to invade one’s own thought, speech and acts is overdue. The noises we make should not be an endless refinement of technical language on ever-refined “particles” or “quanta,” but noises that quiet the noise. The sound of the singing bowl is one such noise.

I believe my book is another such noise.

Bravery, Perfection, Skepticism

“If you’re going to do it over-do it, that’s how you know you’re alive” -Ani Difranco

So we see famous people over-doing it all the time. Published works are generally over-done, or they wouldn’t be published. It falls under the general ailment of American society, seen in abundance in my field of mathematics, that technique replaces everything else. Substance, profundity, immanence, and what actually serves society, is replaced with attention to detail and over-work. And this ailment is ultimately driven by fear. People get convinced that they need attention, they come into the world with a job to do, a job that they’re good at, but because of an environment of competition, they are afraid that they’re work wont get done, because it will get ignored. A lot of things that are over-done don’t matter much. Nintendo? Game of Thrones? “Pro” wrestling? Some things that matter a lot are so over-done that they lose their potency, such as bills that are negotiated in the American government. They get rhetorical names, but their contents are like, I believe the metaphor the media likes is ground up sausage. Look at Obama-era health care bills. They managed to rearrange some things, it did help some people in very important, life-saving ways, and it made the private medical companies’ stocks go up. What was it? I admit I am not enough of a fanatic to find out, and if I were, the burden of communicating what I found would be immense. It was over-done to make it “dark.” People can be more easily manipulated, or forced into their already entrenched dogmas, because they don’t understand what is going on.

Is academia different? I’ve heard it said that academics are basically politicians, I would add that they tend to be more soft-spoken and polite politicians. Social constructivism is an obvious example, obvious because it is honest about being political. Other paradigms are just as political.

I have become convinced there is nothing new under the sun. Everything has been said at least indirectly. The things that really need to be said have been said before, but they need their expiration date renewed. The resistance to it, if its worth saying, will be actually be political, but the arguments will be technical, and if you want to get published while going against the stampeding herd, you have to be meticulous and over-do it. That is why “work” is an unassailable ideal in academia. Just call it “jobs” and you’re a politician.

One very important consequence of this system is that interdisciplinary works get ignored because they cannot follow the techniques of a given discipline as well as narrowly-focused work can.

I think Borge’s comparison of the Argentinian verses the US-American is apt. Borge’s says that to an Argentinian, a book that has received a reward might be good despite the reward, where US-Americans generally go by the New York Times bestseller award or others.

I offer a way out of this situation with two concepts: Bravery and Skepticism.

Skepticism is the attitude that helps the consumer, the path of being.

Bravery helps the creator, the path of doing

When you are doing things, don’t over do them. This takes skepticism as well as bravery. Eventually you have to say “this is not perfect, it is good enough” Care is a kind of fear. When you are careful in your work, you have to know when you are caring too much, when you just have to be brave and stop worrying over your work. That takes bravery because you have to face the attention you are going to get, however little that might be. You have to face a general attitude that works should be overdone and your work “doesn’t count” because it isn’t as meticulous as other works and doesn’t show the right technique. You have to face not getting published, and getting ignored. If you really chose the path of doing, this is hard to face, and it feels like you didn’t really accomplish anything.

But actually it is the only way to really accomplish anything, because instead of pursuing technique you can pursue other things.

People say technology has to be over-done, and we wouldn’t have our wonderful toys without our belief in technique. The drawbacks are obvious but not in focus: gadgets that depend on software that will only be supported for a few years, other gadgets that require specific replacement parts that wont be made for that long. The “designed obsolescence” concept doesn’t go far enough. The reason for all the trash is more embedded in our minds than that. I’d like to ask Darwin if he thinks we’ve won the competition.

Now the audience for your work that is not over-done is the rare skeptic. They are the ones who will recognize that it doesn’t have to be “out-done” with greater attention to detail, beyond its surface appearance. They will see and appreciate substance, immanence, profundity, and how it serves humanity beyond whether it “out-does.”

Science and Happiness

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There is a strange problem with ancient Skepticism, or Pyrrhonism, as it is described by the best authority, Sextus Empiricus.

I have to confess that several features of this account of how the Skeptic will achieve ataraxia and happiness through epoche [suspension of judgement] are very puzzling…Now the so-called “Modes of Epoche” give us an overview of the kinds of considerations that supposedly lead the Skeptics to adopt a pattern of life in which they live by the appearances and do not believe any assertions or theories about an external world. But it is striking that all but one of these Modes are concerned with questions having no immediate relevance to the domain of values; instead they have to do with such questions as whether the honey is really sweet, whether there really are invisible pores in the skin, whether things really have the shapes they appear to have, and so on. Only Aensidemus’s tenth Mode offers the sort of considerations that presumably bring the Skeptics to epoche as to whether things or actions are good, bad, or indifferent. Yet when (at PH 1.27f. and much more fully in M 11) Sextus gets down to the business of explaining in detail how epoche about the external world leads to ataraxia and happiness, he considers only value judgements. The Skeptic gives up any belief that judgements about good and evil have objective validity, and through his epoche in this limited area he achieves his ataraxia. Not even a hint is given of how the state of epoche on such matters as are considered in most of the Modes contributes to peace of mind. For these kinds of case we are left to conjecture that the relevant discomfort is perhaps the kind of frustration a biological scientist might feel at being unable to find the cause of cancer, or a physicist might feel at being unable to find a unified theory for all types of force.”p75-76 Mates 1996

Sextus Empiricus neglected to explain how scientific knowledge seems to be opposed to rest and peace of mind. I have already discussed that “science” (which has become too general and ambitious a word) uses as its ultimate concept that of work. Heidegger argues that it is work that prevents questioners from getting a word in edgewise. They are always “working on it” and, for now, we should content ourselves with the marvelous achievements we have, and not ask so many questions that they stop working.

It is exactly the Skeptic’s situation that asking questions has won out as the dominant attitude over any entrenched scientific doctrine. There are some opponents of Skepticism that say such an attitude amounts to paralysis, and if not paralysis then to behaving eccentrically, and if not that then at least a Skeptic would speak strangely. Sextus deals admirably with these objections in his Outlines of Pyrrhonism.

Further, we are told in several places (e.g., PH 1.191, 194, 207) that the Skeptic uses language (katachrestikos) “loosely” and does not join the Dogmatists in fighting over words or in seeking to use them with philosophic precision (kurios). In view of this we may conjecture that a sophisticated Pyrrhonist, following the ancient maxim of lathe biosas (“live in such a way as to escape notice”), would also be inclined to follow the advice to “think with the learned, but speak with the vulgar.””p72 Mates 1996

The way the Skeptic uses language is related to the problem at hand: how to show that scientific work is not conducive to rest and peace of mind, or of leading a happy life. How? Sextus says at the beginning of his Outlines  that

if the theory is so deceptive as to all but snatch away the appearances from under our very eyes, should we not distrust it in regard to the non-evident, and thus avoid being led by it into precipitate judgements?” p92 Sextus in Mates 1996

The Skeptic takes appearances as not open to question, so they are not nihilists. And they question doctrines that attempt to undermine appearances. Take the famous example of Sir Arthur Eddington (1928) on the term “solid.” As a scientist, he argued that a common table is not actually solid, because it is mainly made up of empty space. This goes against the table’s appearance of solidity, and was famously rebuked by Susan Stebbing (1937), who said that tables are things that help us know what we mean by “solid.” From a pragmatic point of view, a table is solid,

but Mates points out a problem with Skeptics in siding somewhat with the pragmatic use of words. He points out that at first we learn to say “the honey is sweet” and that is the correct and normal way of using language, while the Pyrrhonist would, at least a little later, assert that it merely appears to be sweet, and since this is not the way a child would normally use language immediately, it is a kind of abuse of language. To be more precise, Mates’ problem is that he thinks “the honey is sweet” and “it appears that the honey is sweet” are meant differently by a child. What exactly does a child means when she says honey is sweet? I would bet that the child is referring to an appearance, not a property of an external reality beyond such appearance, independent of a perceiving mind. The added word appears is merely a clarification for realists, not a modification of what a child means or how she uses language.

In other words, we were not born with the distinction between Berkleyan idealism and naive realism, and both suffice for the purposes of the child saying the honey is sweet. Indeed, that is the only way to really “go by appearances” as a child does, by experiencing the sweetness of honey without bothering about the realism or idealism (or both, or neither) of its appearance.

This leads directly to the central point that a scientific attitude is not a way that leads to very much happiness. When we study honey with a microscope so that we “know” things with the eye or with the mind about honey, so much that when we taste honey all we think about are these concepts and sights, not the taste, we miss the enjoyment in knowing the truth of this appearance of sweetness. Applied to our lives in general, the scientific attitude will quickly make us miserable. The way to know about the sweetness of honey is not any other way than to taste it yourself. Maybe an equivalent to a microscope can be invented for the tongue, and that would yield interesting, if warped, results, but is the world more enjoyable if we walk around with telescopes attached to our eyes?

Also maybe the difference between a scientist and a happy person is not so clear as this example, for take a wine connoisseur who can identify all the qualities of all the flavors of any particular wine. The question then becomes: does a wine connoisseur enjoy wine better than someone who is just really good at paying attention to taste and doesn’t know anything about wine or its ingredients?  The answer, under the economic principle of diminishing returns, is a resounding no. The wine connoisseur has tasted so many wines and has remembered and analyzed it so well that they do not enjoy it as much as they used to. In effect, they get burnt out, and the pleasure diminishes. The pleasure diminishes for the Pyrrhonist too, (it is doubtful she will taste wine as many times as a connoisseur) and she may learn to taste wine better, but the pleasure diminishes in a different way: the Pyrrhonist returns to ataraxia or dispassion and peace of mind because there is no identifying with or grasping for any “being,” there are only appearances. Without their external reality appearances are like water flowing through your fingers. Grasping after it is obviously futile. The Skeptic believes appearances are states of their soul, not external objects. So there is nothing to know more about, no endless searching to know and enjoy a tiny new thing about wine.

But this is the same with language use. The person who really enjoys language is not the analyzer-knower type, but the one who can appreciate vagueness. The person who enjoys the word solid uses it for a table, not a tiny particle. Not that particle is any less poetic than table: particle is still infinitely large compared to the infinitessimal, and the infinitessimal, which may escape being poetic, emerges as a piece of mysticism.

I hope this clears up Mates exasperation about Sextus not going into detail on why a scientist trying to cure cancer would not be as happy or have as much peace of mind as a Skeptic who has cancer. If the scientist didn’t have at least some skeptical approaches to life he would not taste honey, or feel the solidity of the world around him. The appearances of art would not be felt by him. Would you rather be him or the skeptic?

Of course, the idealized scientist doesn’t usually happen, and most scientists and other specialists move from their work to a more skeptical attitude at home or outside work. With a very flexible mind, a scientist could still be mostly a happy person. So this message is more for science education and communication. I had to argue with my mom that the things she sees in day to day life were more real than invisible particles. Sometimes people can’t live the skeptical life until they have reached the forefront of research in an area, just to confirm that appearances are just as good or better than the truths found in research. (example: me) I have to argue with my students to see the world of appearances. There have been projects such as logical positivism with a goal to make general language use more analytical and scientific. So the relevance of this argument has more to do with taking away the authority of the scientist to “discover” things that don’t appear to us, and giving appearances back to regular people, even if that makes the job of the scientist less valued and harder to communicate. We should educate and communicate with science in a way that empowers regular people and makes them happy, that is more important that the work of science.

 

Newton’s Laws and the Open Set

For this month I return to my old tricks: speech against entrenched scientific doctrine. It may seem rash, destructive to do this work. One may counter that the indoctrination that is required is equally rash and destructive. I know that the young often have to learn lessons in an unpleasant way. The reason I write urgently about people’s faith in science is because I am basically a skeptic. I believe that holding a belief as absolutely true, without exception, does not create concord. When people are inflexible about ideas there is more fighting among people, within families, communities and internationally, not less. On one hand the people who strongly believe the doctrine cannot abide people who have another mind on an issue, they can’t even talk to them, thinking them beneath reproach. So far a hive mind has not been successfully implemented (and to my mind should not be implemented), no matter how scientific that hive mind might be. On the other hand, the people who can’t bring themselves to agree with a scientific “party line” tend to look down on themselves as well, feeling that it is their fault and they simply don’t understand. Sometimes they seek out alternative beliefs that are just as conceited as scientific beliefs. As a way to counteract solid beliefs, they create other solid beliefs. They believe that not having an equally entrenched belief to combat scientific belief, that is, to merely argue against a scientific belief, is destructive. A basic skeptical idea is that solid belief breeds discord and strife.

One way to see the drawbacks in having overconfidence about one’s knowledge is looking at the concept of “mansplaining.” The basic problem with the concept of mansplaining is it assumes that someone or other “really” knows about something. Often engineers and math buffs love their subject because of a love of the obvious. They want to return again and again to what they think they “really” know, like recounting the gold coins they’ve collected. And the person on the receiving end of this type of personality gets annoyed either because they don’t care to know, or feel that they really know, and the person mansplaining doesn’t “really” know. So we’re in a contest of who knows better. The skeptic completely avoids this contest, because she isn’t sure if anything is”really” known. The only thing skeptics believe, the only thing that keeps skeptics from nihilism, is they acknowledge that there are certain impressions in the present moment; they do not commit to where the impressions come from (external objects, or internal thoughts, or somewhere else), what it is that receives this impression they call the soul, but what the soul is I don’t know. They avoid a philosophical point of view on what these impressions (Greek phantasiai) are. The main goal of the skeptic is Ataraxia, which is peace of mind from not accepting any dogmatic doctrine. By thinking carefully about pro and con of various dogmatic doctrines, effectively counting the gold coins, getting involved in the richness of one doctrine, and then looking at a counter belief, counting the gold coins and richness, the skeptic can’t decide between the two piles of gold, the two doctrines. After doing this type of comparison a lot, the mind in Ataraxia becomes like a fortress, and a mansplainer will have almost no hold on such a skeptic, even if the topic is new. They may observe that the mansplainer appears rather rash in deciding they know so much, but they will not be moved to believe what the mansplainer believes because they have already weighed conflicting beliefs, nor will they be moved to criticize the mansplainer, because the skeptic doesn’t have an alternative belief to defend except what seems or appears to them through the senses/mind in the given moment.

My argument here seems to be an argument against Newton’s laws of physics. That the theory is “false.” However, I am not making the claim that Newton’s laws are false, I am rather asking if Newton’s laws of physics make sense–if Newton’s laws are neither true nor false. Like the person on the receiving end of a mansplainer, I feel merely puzzled, at a loss, unsure if I understand. Unlike people in physics classrooms who in the end look down on themselves deciding “I can’t do physics” or “I can’t do math” I believe anyone taking the position that they can’t make sense of these “laws” is a respectable position to take. This is the reason for the heavy use of the word “Seems.” It may be assumed that “It seems to me” can be added to all of what follows, and everything in this blog.

Newton’s laws of physics are only true in a perfect vacuum. The funny thing is that the basic notion that defines mathematical space, the open set, seems to assert that there is no such thing as a perfect vacuum. So, if Newtonian physics were logical, it would have to either abandon mathematical space, which would do away with line and point the way it is used in physics texts, or it would have to abandon Newton’s laws. The problem I’m running into is that the open set, the basic building block of mathematical space is defined by starting with a point, and then asserting that any “neighborhood” (or circle if you like, but circle depends on point and space already being defined) around that point, no matter how small, contains another point inside the neighborhood (circle). It is clear that space must have points in it, but could a point or a really small neighborhood still be considered empty space? It seems to come down to the question: What is a point?

The common understanding is that a point is a place, not a thing, and that it is such a small place that nothing can be in that place, because if something could be there, say the smallest neutrino, to say the least, there would then exist something of no size. Could there be a place (indeed many, many places) where only nothing can possibly be? It seems to be a contradiction in terms. A place is a place where something could be, and if nothing can be in this place, then it is no place at all. If we did away with the idea of a point to define the open set, say we used progressively smaller circles or neighborhoods instead of points…. that would result is a very different understanding of what is a circle or neighborhood, basically what space is would change: this new idea of space would not be ordered by the real numbers because they are defined in space as points. Instead space would have to be ordered by neighborhoods, if at all. This may be possible, and even worthwhile, but for the present it would make mathematical space stand on its head.

If there is a smallest particle, say take the smallest subatomic particle, or whatever, the smallest neutrino, I don’t know, and then take a neighborhood that is smaller than that, it seems then you have a perfect vacuum…assuming you can still locate points in this very small neighborhood.  That doesn’t tell us what points are, but at least we can then say that there are very small neighborhoods of perfect vacuums where Newton’s laws can hold true. But to get to this conclusion we have sacrificed a lot: we have admitted that we don’t know what a point is. It seems that any neighborhood smaller than the smallest particle would have the same problem a point has: it would be a place that only nothing can possibly be in, which seems to be no place at all. Also, we have assumed we know what the smallest particle is.

It is safe to say that we can never know when we’ve found the smallest particle, because there will always be sizes beyond our reckoning.

Finally, it seems we are lucky to find a truly empty space large enough to claim that Newton’s laws are absolute and inflexible truths (in such spaces). Such a space is a situation that doesn’t matter much. In the world of breath and bodies, Newton’s laws of physics are approximations of more or less pragmatic use, not absolute truths. And mathematical space doesn’t seem to make sense either. Neither mathematical space nore Newton’s laws ought to be believed inflexibly as though other ideas are beneath reproach

 

Science is magic

Science is magic in the same sense that knowledge is power. To say knowledge is power we at least need to know what knowledge is. Not easy. After that it is pretty much impossible to know what power is. For example, to squeeze the problem down as much as we can, take potential energy. Where is the energy? The simple example is a round rock at the top of a hill. It has the potential to roll down the hill. It has this potential because it has not rolled yet, so already we get the idea that power is not, but there are so many other situations that could also create potential energy, so many that potential energy is really impossible to define. Thats just one small part of what power could be. So to say knowledge is power, or even Foucault’s power is knowledge, is very pessimistic. It assumes that power isn’t anything more than what we know about it. How do we know that? We don’t. We just sort of wish our knowledge were that magnificent. Or in Foucault’s case, we wish our power could always be known, maybe by the magnificence of our power.

So science has the same relationship to magic as knowledge does to power. It is silly to say as soon as it becomes a science it is no longer magic. That is merely an uninsightful, semantic argument. But magic could be so much more than what has been reduced to a science. We choose to keep our eyes where the flashlight beam in the dark is shining, maybe because we like to see (know), maybe because the vague, shifting shapes we would see in the dark, if we looked beyond our beam of light, are too frightening.

Degrees of Identity

I was in conversation with my brother many years ago and he was talking about an experiment where social pressure could make people believe that the longer line was the shorter, and the shorter the longer. I believe his point was that when social reality doesnot correspond to physical reality, the social reality is wrong.

I pointed out that other contradictory ideas, for example, that two things can be both alike and different, so a triangle and a star can be alike in being polygons, but different in how many angles they have, is also a contradiction, much like the longer line being the shorter and the shorter, longer. Admittedly they are slightly different because “like” is a two-way relationship while “larger” only goes one way, from the larger to the shorter, but that there is another contradictory relationship that we find acceptable is enough.

Much later my brother argued that paradoxical relationships of likeness and difference can be resolved by making them a matter of degree. Two things are “like” 30% and “unlike” 70%, for example.

The problem with this is that = and ≠ are related to likeness and difference, they are types of likeness and difference. Equality is a type of likeness, and ≠ is a type of difference, and they are used in analysis books to build the concept of number. We can’t have the natural numbers without the idea that 1+1=2. So = and ≠ are prior to matters of degree. To be clear, if = means strictly identity, so two apples are not equal to each other (if they were, they would be both = and ≠). One apple is equal to itself. Now, evoking Wittgenstein, we would not bother to say, or be interested in the slightest in, 1+1=2, if 1+1 and 2 were not slightly different from each other. The same way we never say “This apple is this apple”. One could say that 1+1 is the act of grouping two apples, and 2 is the apples already grouped. Looked at in this way 1+1 ≠ 2 ; 1+1 and 2 do not have the same identity.

Because the same problem of likeness and difference arises with = and ≠, we cannot use degree to solve the problem and use = and ≠ to solve what we mean by degree, that is circular.

It may be that this is related to Buddha’s idea of anatta (not-self). The parts of one’s self do not add up to the self we perceive, yet those parts, we say, are what the self is. Buddha uses exactly this argument about a cart– that no-where in the parts of the cart do we find the essence of the cart: 1+1 does not contain the idea of 2, or as Western philosophers including Kant have noticed, 1+1=2 is synthetic.

This is a good thing. Remember Buddha’s talk of the “Deathless” is beyond duality, beyond death and life, self and not-self. If the concept of identity were defensible, or a duality such as = and ≠ could create a system of numbers that could fully describe reality, there would be no escape, no ascendance to the Deathless.

 

Rest isn’t as easy as it seems

Rest, and “the rest”, is an ultimate concept upheld in the dissertation, and it has serious consequences for logic as we know it, and seems to stand in opposition to pragmatism. Rest, however, is not as easy as it sounds. Buddhist monks do quite a lot of work for the sake of rest. As I got older I learned that rest is hard, because you have so many people around you and before you, working and having worked so hard. If you don’t wear the orange robe of a monk, people will look down on you for, not just resting, but striving to uphold rest as a concept that is defensible.

Ultimately we work for the sake of rest. We want to “have done” something so that we can kick up our feet and relax with some entertainment. Of course it is also true that we rest for the sake of work, but “rest” seems to have fallen as a concept and “work” was in the ascendant.
I practice meditation 3-4 hours a day, and I have discovered that to meditate successfully one must also practice ‘sila’ or virtue, such as the 8 precepts in Buddhism. Not lying, taking care not to hurt little critters, helps your concentration inside and outside meditation. As Buddhist monks propose, it must be realized that “striving for peace” can only be truly successful if such striving is also restful. To have rest be a means as well as an end, requires ‘sila,’ at least the 8 precepts, Here is a good explanation of the 8 precepts,

The Eight Precepts:

1. Panatipata veramani sikkhapadam samadiyami
I undertake the precept to refrain from destroying living creatures.
2. Adinnadana veramani sikkhapadam samadiyami
I undertake the precept to refrain from taking that which is not given.
3. Abrahmacariya veramani sikkhapadam samadiyami
I undertake the precept to refrain from sexual activity.
4. Musavada veramani sikkhapadam samadiyami
I undertake the precept to refrain from incorrect speech.
5. Suramerayamajja pamadatthana veramani sikkhapadam samadiyami
I undertake the precept to refrain from intoxicating drinks and drugs which lead to carelessness.
6. Vikalabhojana veramani sikkhapadam samadiyami
I undertake the precept to refrain from eating at the forbidden time (i.e., after noon).
7. Nacca-gita-vadita-visukkadassana mala-gandha-vilepana-dharana-mandana-vibhusanathana veramani sikkhapadam samadiyami
I undertake the precept to refrain from dancing, singing, music, going to see entertainments, wearing garlands, using perfumes, and beautifying the body with cosmetics.
8. Uccasayana-mahasayana veramani sikkhapadam samadiyami
I undertake the precept to refrain from lying on a high or luxurious sleeping place.

Yep, if you really want rest, you have to give up that entertainment you were looking forward to after work. All of the 8 precepts are a matter of ‘abstaining’ from certain actions and speech. There is nothing to do. You have to spend your restful hours striving for true rest.

(footnote:)

“Shapiro uses an example called the “forced march” to display the power of his theory to handle vagueness with “competent speakers.” The forced march is done by a group of such speakers who examine the hair on the heads of 2000 men arrayed from entirely bald and progressing gradually to Jerry Garcia. They must reach a consensus each time, and Shapiro is concerned with the eventuality that, starting with Jerry Garcia, and inferring that a a small tuft of hair less on the next man preserves hairiness, the inference will break down and the competent speakers, one by one, will be filled with conflict until they decide that one of the men is bald (well before they get to the entirely bald man at the other end of this continuation). Shapiro argues that on breaking the inference with a particular man (lets call this man B(a)), classical logic requires that this break spreads to the men near B(a), so they are now also “bald” even though some of them were only a moment before considered “not bald.” Interestingly where exactly this spread of baldness around B(a) ends, and end it must before Jerry Garcia, is unknown, or deferred to further investigation. Needless to say, the deliberation of competent speakers on which men are bald and which men are not is neverending. Instead of admitting that logic is wrong, we are directed to work and deliberate on the problem forever, and if we ever throw up our hands and stop working, the consistency of classical logic would be questionable. (Nightingale 2018, pg 12)”

I believe at this present time we should debate the idea of rest. Our reaction of anxiety about resting, almost automatic, drives the damage to the environment. Much the same as, given an Englishmen and how they drink alcohol, if the Englishman moved to Mormon country in Utah, The Mormons would condemn the Englishman for their behavior. Likewise how often in Thailand, people will just laugh at the matron of a house who is going around yelling at everybody. If this matron went to the USA, she would find the danger of being confined in a mental hospital.

There is so much work being done that takes its toll on the environment, we are prohibited from mentioning the superfluousness of a lot of the work we are doing now. That said, we should multiply by many times the number of social workers. In general, if we worked less, the earth would heal. There would be fewer products, that we defend by saying “we love our toys.” “Work,” defends every person’s right to take up space and inhabit the world. The earth and humanity cannot regenerate its resources fast enough to feed our work

Proof of substance

The proof of substance shows that the universe is not entirely empty. Some people will think this goes against what the Buddha taught, but the Buddha chose to be neutral on the issue of whether anything was endowed with substance, or a “self.” And by self he meant identity. As in his example, even a cart, when examining its parts, the substance of the cart cannot be found, or no part of the cart is the cart itself, and since the cart is made of parts, none of which is the cart itself, the cart has no substance, it is only an amalgamation of parts. So the argument goes.

Now my proof of substance does not go against what the Buddha taught, because it is merely a proof that substance exists. And this proof doesn’t matter much, because a Buddhist should strive to notice emptiness, especially in oneself. This striving can be successful, and we will see how substance is fundamentally connected with ignorance. And how the existence of substance is merely the existence of ignorance, and ultimately results in the first noble truth: the existence of suffering.

1 The first step of the proof is asking: “Is this a question?”

It is like asking if ignorance exists. We cannot decide if it is or isn’t, because deciding would resolve its ignorance, but resolve it in the opposite way we decided: if we decide that it is a question, whether it is a question is no longer in question. After all, how can this question be, if its being were not in question?

2  The next step of the proof is asserting that “is this a question?” while it is undecidable on whether it is a question, is still a tangible thought.

What kind of thought we have when we ask “Is this a question?” is not known. This leads to the third step of the proof:

3 Because “Is this a question?” cannot fit in any form, and it exists, the only option for it is to be substance.

“Is this a question?” cannot necessarily be a question. If it isn’t then what is it? It seems that there isn’t any other kind of “what” it could be, and so it lies outside a what question, even though we know that it is. This is the fundamental ignorance.  As you can see, it is fruitless to argue over whether it exists or not, which is what the Buddha said of the doctrine of self (by which he meant substance). Asserting “is this a question?” is a question yields a paradox, so it may be best to let this question remain in question. In either case, it may be going too far to assert that it is something. After all, a thing is a “what” and this ignorance cannot be categorized or partitioned. Yet it persists.

 

 

The symmetry between Completeness and Vagueness

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The (Problem of the) Heap of Sand is the classical representation of vagueness, where you create an inference: if you take away a grain from the heap then it remains a heap. This is a good inference for a long time, but eventually breaks down due to the vagueness of what a heap is (eventually you will have taken so many grains away that it wont resemble a heap anymore). And you can’t even tell when the inference will break down, exactly. So, as you can see, vagueness has a very precise and non-vague formulation, something similar to this strange property of vagueness (that it is a clear and distinct concept, even though it is a concept about indistinctness) is common for mathematical concepts. That is, mathematical concepts are chosen and defined so that they contain the terms necessary to get round their own difficulties—their faults or cracks, as all concepts are imperfect. Example: “Completeness”.

The difference between vagueness and completeness, is:

1) that the term completeness is in direct opposition to the claim that every concept has a “fault” or “crack”, in this it is a “perfect” term. The definition of completeness, however, must be vague, because the terms used to define completeness all have cracks.

2) The definition of vagueness, by contrast, is perfect, but the term refers to an essential fault of all terms, and is always perceived. (perception is always vague) Vagueness is defined as how the if, then fails— The “heart of logic” (the paragon of precision) and the most reliable way to preserve truth. It is clear and distinct in its description of how the if, then fails. Since each of the terms in the definition of vagueness have cracks, the definition is precise.

The term vagueness refers perfectly to its referent because it is well defined as an indistinctness, the definition of completeness is vague because the term refers to something that can’t be perceived, a perfect whole.

Stuff, and Higher-Order Vagueness

At the heart of real analysis and the study of real numbers is a confusion between points and “stuff,” or how points can perfectly describe distance/space/extension. Put the other way around, how can extension be reduced to points? Or how can we know the extension (with points) of a length/width of an object?

This question is caught up in measurement, and the relationship between word and object. I have seen people give (real) number a privileged position between word and object, but I would argue that number suffers from the same flaws that language suffers from, including vagueness. One reason is there is vagueness in what to call “one” (see the classical “heap of sand” in a previous post), further there is vagueness in when something is countable or uncountable. Electron cloud size to water or human height is uncountable, but what about popcorn or puffed rice? These could be counted, but should we be counting the grains? Should we count water molecules? Should we go back to a particle model for electrons so we can count them? This should comes more pointed when we consider the ancient belief that counting/taking measurements about humans directly endangers them (Feyerabend 1999). Why was it believed that being unsure which side of the microscope you are on endangers?

Vagueness runs right through these issues from the finer points of graduate school mathematics to the ethical issue raised above. And of course it does, since we would like number to draw a clear line between word and object, point and “stuff”. Strangely, insight into these distinctions can be garnered by understanding just how troubling (and what) vagueness is.

Enter higher-order vagueness. Now the question has been put to me “Well the vagueness between, say, “high up” and “not high up”, (this can easily be pictured on a cartesian graph with a line gradually going down from left to right) can be dealt with by adding and third “uncertain” value/region. And the trouble here is, as is well known, that adding a region uncertain only adds two new borderline cases between “high up” and “uncertain”, and another borderline case between “uncertain” and “not-high up”, so that new “higher order” uncertainty regions have to be added for these borderline cases. And now we have introduced new sources of vagueness, etc. Ultimately the pursuit of conquering higher-order vagueness by exchanging borderlines(points) with intervals(stuff/extension) is a vagueness between points and intervals.

As that sinks in, realize that a vagueness between points and intervals is a general problem reproducible anytime vagueness rears its ugly head. If we draw the connections from points to words and from intervals to the “stuff” of objects, we find that the line between words and objects is vague, which is also well known. What is new here is that we found this well known vagueness by investigating vagueness itself in a general way.

To summarize I would say that the vagueness between word and object is an essential or “stock” vagueness that crops up anytime we are in vague territory, and is the heart of analysis of “real” numbers. In this sense, vagueness is an important ultimate concept for mathematics, and it ought to be mentioned in analysis text books that vagueness is what the book is about.