The Number of Things

Virginia Wilderness by Angelo Franco 2018

by Thomas Scarborough

What is the number of things in this world?

It might seem a trivial question—as to whether there are millions of things, or quintillions, or perhaps an infinite number.

Philosophers haven’t been much concerned. The mathematician and philosopher Bertrand Russell asked simply, ‘What things are there in the universe?’ while Socrates, in the 5th Century BC, asked ‘How many things are there which I do not want?’

The scientist Richard Colestock summarises the attitude of many today: ‘What are you going to do with this answer once you have it?’

While philosophers have, in various ways, given much thought to things, and sorts of things, the question as to the total number of things in the world has been largely overlooked. It has been of little interest to them how many things there are, outside any given field.

Yet it matters a great deal. There are core problems of philosophy which cannot be solved without deciding it.

Firstly, the total number of things is not fixed. This is due partly to the constant proliferation of 'things', as old scientific disciplines are refined, and new ones emerge. The linguist Geoffrey Leech observed, ‘In a language like English, new concepts are introduced in large numbers day by day and week by week.’ And pass out of the language, we might add.

There is, too, no end to the ‘things’ we can create in our minds: for instance, clouds with noses, or dogs which wag their tails, names which start with a ‘J’, and so on indefinitely. Strange as some things are, they are nonetheless things—and we may even treat them mathematically if we please: ‘Ten head-over-heels in five days is two head-over-heels per day.’

Above all, the number of things in this world is unthinkably large. I stand on a hilltop and look down on a city. I see one-hundred-thousand homes—which is 10^5. An insect flies before my face. It is one of ten quintillion on the planet—or 10^20. I take a breath of fresh air. It contains ten sextillion molecules—or 10^22. In fact, the classes of things alone are unthinkably many.

All such things, I may further relate to other things—across time and space, and sometimes, in startling ways. In fact, the relations between things far exceed the number of things.

We may say, therefore, that the number of things in the world is for all practical purposes infinite. John Locke used the phrase ‘almost infinite’. We might use the word boundless. We are not able to determine their bounds.

What then does it matter?

The number of things, and the number of relations between them, enables us to assess their extent or range—and with that, what powers we have in understanding and controlling our world. This has everything to do with our behaviour.

It applies above all to what we shall call ‘negative ethics’. While positive ethics tells us what we ought to do, negative ethics tells us what we ought not to—in this case, transgress our limits.

Knowing the number of things, we may be guided by a deep sense of humility and inadequacy. We shall avoid tendencies towards total control. Not least, there is the overwhelming number of things in our environment, and their complex relations. They lie far beyond what we can understand or control. When we have understood this, we may approach our environment more kindly.

The Number of Things

Virginia Wilderness by Angelo Franco 2018

by Thomas Scarborough

What is the number of things in this world?

It might seem a trivial question—as to whether there are millions of things, or quintillions, or perhaps an infinite number.

Philosophers haven’t been much concerned. The mathematician and philosopher Bertrand Russell asked simply, ‘What things are there in the universe?’ while Socrates, in the 5th Century BC, asked ‘How many things are there which I do not want?’

The scientist Richard Colestock summarises the attitude of many today: ‘What are you going to do with this answer once you have it?’

While philosophers have, in various ways, given much thought to things, and sorts of things, the question as to the total number of things in the world has been largely overlooked. It has been of little interest to them how many things there are, outside any given field.

Yet it matters a great deal. There are core problems of philosophy which cannot be solved without deciding it.

Firstly, the total number of things is not fixed. This is due partly to the constant proliferation of 'things', as old scientific disciplines are refined, and new ones emerge. The linguist Geoffrey Leech observed, ‘In a language like English, new concepts are introduced in large numbers day by day and week by week.’ And pass out of the language, we might add.

There is, too, no end to the ‘things’ we can create in our minds: for instance, clouds with noses, or dogs which wag their tails, names which start with a ‘J’, and so on indefinitely. Strange as some things are, they are nonetheless things—and we may even treat them mathematically if we please: ‘Ten head-over-heels in five days is two head-over-heels per day.’

Above all, the number of things in this world is unthinkably large. I stand on a hilltop and look down on a city. I see one-hundred-thousand homes—which is 10^5. An insect flies before my face. It is one of ten quintillion on the planet—or 10^20. I take a breath of fresh air. It contains ten sextillion molecules—or 10^22. In fact, the classes of things alone are unthinkably many.

All such things, I may further relate to other things—across time and space, and sometimes, in startling ways. In fact, the relations between things far exceed the number of things.

We may say, therefore, that the number of things in the world is for all practical purposes infinite. John Locke used the phrase ‘almost infinite’. We might use the word boundless. We are not able to determine their bounds.

What then does it matter?

The number of things, and the number of relations between them, enables us to assess their extent or range—and with that, what powers we have in understanding and controlling our world. This has everything to do with our behaviour.

It applies above all to what we shall call ‘negative ethics’. While positive ethics tells us what we ought to do, negative ethics tells us what we ought not to—in this case, transgress our limits.

Knowing the number of things, we may be guided by a deep sense of humility and inadequacy. We shall avoid tendencies towards total control. Not least, there is the overwhelming number of things in our environment, and their complex relations. They lie far beyond what we can understand or control. When we have understood this, we may approach our environment more kindly.

Poem: The Option of a Natural Civilisation

Central Pacific, by Charles Scarborough

by Chengde Chen 

The problem that technology ultimately destroys civilisation
cannot be solved by technological development itself
It is not any problems in the technological world
but a non-technological problem – a mathematical problem
Technology may be able to satisfy environmentalists –
manipulating the atmosphere to reduce carbon dioxide
Technology may also be able to satisfy ecologists –
bargaining with nature to restore tropical rain-forests
But, no matter how advanced technology becomes
it cannot break free from its own mathematical crisis
just as the greatest force cannot make one equal two!
Mathematics is not about technology, but about logic
The acceleration of technology is an illogical proposition

We cannot change mathematics to suit the proposition
so we have to change ourselves, that is
to apply the brake of reason to stop this irrational process
to cease technological races as we cease the military one
Change the basis of civilisation:
replace technological development with natural existence
Give up the utilitarian system:
substitute the value of harmony for the value of market
Close down the particle accelerators – let nature enjoy nature
Turn science funding into literary prizes – let art enrich life
Let physicists compose music –
hearing something beyond ‘air vibration’
Let chemists write poetry –
dissecting feelings and emotions that are finer than atoms

There will still be flowers of human intelligence
There will still be the pleasure of human creation
But natural existence will not accelerate
just as art is not a function of time
No poet of today can claim overtaking Homer or Goethe
Nor can composers of today surpass Bach or Beethoven
Art is spirit, spirit is proportion
The ancients’ happiness and ours are both happiness
– no greater or smaller
The ancients’ sadness and ours are both sadness
– no heavier or lighter

Stopping the competition of technological progress
and pursuing the harmony of natural existence
is this a madman’s dream or Utopian?
No, mankind had experienced non-technological civilisations
Didn’t the Middle Ages in the mist of theological civilisation
last over a thousand years?
It was somewhat dark, but with staying power
Didn’t China in the cradle of small-farmer civilisation
continue for two thousand years?
It was somewhat idle, but in steady cycles
They might not be the most brilliant chapters of history
but have shown the possibility of other kinds of civilisations

We don’t have to invite God or emperors back
Nor need we return to Taoist Inaction
What we need is to understand that
being civilised does not mean we cannot choose –
between city flourishing and countryside tranquillity
between ‘being rich but tense’ and ‘being basic but easy’
between a costly Moon-landing programme
and the fairy-tale of Goddesses’ Moon Party
or between the scary roar of jets overcoming gravity
and melodious notes from a buffalo boy’s bamboo flute!

If we choose to have a natural civilisation
it is because we follow reason –
the reason of avoiding destruction
the reason of surviving ourselves
the reason of freeing from a dated value system
and the reason of obeying the law of mathematics
Human beings – you unique species blessed with reason –
how can you refuse this final wisdom?

A Suicidal Bias

by Tessa den Uyl

‘With men came suicide’ could have flown out of Pandora’s box, as well as, ‘I think therefore I suffer’. Even when our agonising states might seem incredibly real—just like the joyful ones—we might be slightly mistaking our perceptions. Once we recognise how we have become enslaved to believe in a cultural heritage, we also comprehend that our life is nourished by a language-shared involvement. Though this language might not hold (at) all what we are. If suicide could be archived as ‘an urgent need that once involved humankind’, we have to start to think in a different way. After all, to kill oneself out of despair, nobody was born.

What humankind has passed on for centuries eludes us all in who we are. The fashionable expression that there is just the now (or actually, no time at all) is plausible when we turn to quantum physics, biocentrism and ancient spirituality that envision the whole of reality as one single movement. Though emotionally speaking, to experience this oneness would mean to have burned the whole past within us. To put it briefly: on an emotional and intellectual level, unless one were unable to live a life in which memory has no decisive input on our emotions, thus our thoughts, each of us is intrinsic to ‘the reality’ of society rather than the ‘one Self” of the cosmos. If so, our daily reality is elusive in the face of the cosmos and real towards society.

Where does this leave us?

Society demands a certain attachment to those thoughts that fulfill specific images about life. How many are the thoughts which others think for you and you think others think? This is a forest where not everybody will walk quietly. People think and therefore have opinions, which serves communication. Though once people believe in their thoughts, as if they are the words they pronounce, life seemingly has a great deal to do with the submission to, and the manipulation of, other people’s requests. Not unpredictably, when life means a jar filled with expectations to be fulfilled, that jar is not unbreakable under its own pressure. Like stalkers in a spider’s web where thoughts continue a never-ending communication, most of all within ourselves, should one in this realm trace a self?

When the initial information which is handed one in life is to erect an idea of self with a tiny bag of thoughts as the available tools, to understand the boundaries of where your life starts and the requests of others end, is extremely difficult. Not uncommonly, the encounter with discrepancy in society is of no surprise. Especially when one comprehends that society itself is established in divergence, and each of us is therefore raised in conflict. A communication, which serves its own contraries, can only hand one to struggle as the outcome. And in such societies, to think that problems can end is nothing but a mediocre generalisation. Simultaneously thought-induced reality cannot be denied, it serves to stop in front of a stop sign or to pass the salad. Though if suicide is on one’s schedule, one has to be aware that killing oneself is as justified as not, like everything else, only in the barrel of thought that we have learned to think.

When we profoundly understand that nothing can ever be fixed in how our societies work today, until we continue to think the way we do, (cut everything into pieces as if division is truly possible) we can all comprehend that nobody will ever allow us to become who we are. Though what we are is exactly the same for every other being, which is a part of life and of this universe, in which no being is more or less important. Being foremost bundles of energy, when we make ourselves more important than something else, we have divided ourselves from everything else solely by ideas. We thus prefer thoughts above the energetic form of life itself. Without the latter, thoughts cannot be. Still, we are drilled to believe that thoughts (thus emotions) rule our reality.

Thought is a human social fiction, which is rather significant as a confirmation of our identity and completely insignificant to all else. Not being able to get rid of your-self is the same as trying to maintain that idea of self. In both cases there is a refusal to let go of what one thinks. Whether the package is pleasant or unpleasant, it satisfies the same mechanism. Though the problem is not about who one is, as a form of energy, we never can be a problem. Socially accepted ideas raise the illusion of hope to become what one is not yet or to lose what one thinks one is. If the tadpole announces that it will be an elephant tomorrow, we might have some doubts. Though only when there is hope attached to that exclamation, to fulfill a self in the face of society, language offers the unpleasant thought that hope equals suicide. Either as a tadpole or an elephant, for the tadpole this is the same. It is what it is. It cannot be more, nor less.

Embracing the thinking patterns that are bound to social logic, a state of being can easily switch and eventually become a fixation. Ideas intermingle with emotions and knowledge, social status; an incredible pressure of images bombards people daily. Embarrassment, lack, fulfillment, desire, humankind has made an incredible effort to narrow our perceptions. This makes the structure of the social illusion fragile, and meanwhile we were not raised to doubt its utilisation. Though what has not happened yet may certainly happen. Not in the affirmation of one’s identity, not in the utilisation of language to enhance oneself in front of society. This is the main point, to let go of which seems so implausible.

Once thoughts can be seen as a tool to not identify with, and to exploit one’s feelings continuously, there is some space to acknowledge that our consciousness surpasses all the social learned perceptions we’ve put into that feeling of ‘Me’. And this is the blind spot on which so many of us erect their convictions, on which societies build their bricks. At the same time it is this ‘Me’ which enfolds in everything. If there is a way to a more pleasant state of living for all of us, and everything that immeasurably surrounds us, this can be found in unfolding our illusions. We cannot truly get in or out, as is the case at the metro stop. We’re always in. Until and unless human beings profoundly understand that one for all and all for one is not just bound to three musketeers, suicide will only be one of the bigger outcomes of a dysfunctional humanity.

Talking about suicide is not about whether or not it is justified. The question is really how it got there in the first place, to occupy a person with such a thought. In the face of an immortal cosmos, understanding that we cannot truly set ourselves free, the question of being free is erased from the mind. We are more than what we’ve learned to be and less than what we think we are.

The Certainty of Uncertainty

Posted by Keith Tidman 

We favour certainty over uncertainty. That’s understandable. Our subscribing to certainty reassures us that perhaps we do indeed live in a world of absolute truths, and that all we have to do is stay the course in our quest to stitch the pieces of objective reality together.

 

We imagine the pursuit of truths as comprising a lengthening string of eureka moments, as we put a check mark next to each section in our tapestry of reality. But might that reassurance about absolute truths prove illusory? Might it be, instead, ‘uncertainty’ that wins the tussle?

 

Uncertainty taunts us. The pursuit of certainty, on the other hand, gets us closer and closer to reality, that is, closer to believing that there’s actually an external world. But absolute reality remains tantalizingly just beyond our finger tips, perhaps forever.

 

And yet it is uncertainty, not certainty, that incites us to continue conducting the intellectual searches that inform us and our behaviours, even if imperfectly, as we seek a fuller understanding of the world. Even if the reality we think we have glimpsed is one characterised by enough ambiguity to keep surprising and sobering us.

 

The real danger lies in an overly hasty, blinkered turn to certainty. This trust stems from a cognitive bias — the one that causes us to overvalue our knowledge and aptitudes. Psychologists call it the Dunning-Kruger effect.

 

What’s that about then? Well, this effect precludes us from spotting the fallacies in what we think we know, and discerning problems with the conclusions, decisions, predictions, and policies growing out of these presumptions. We fail to recognise our limitations in deconstructing and judging the truth of the narratives we have created, limits that additional research and critical scrutiny so often unmask. 

 

The Achilles’ heel of certainty is our habitual resort to inductive reasoning. Induction occurs when we conclude from many observations that something is universally true: that the past will predict the future. Or, as the Scottish philosopher, David Hume, put it in the eighteenth century, our inferring ‘that instances of which we have had no experience resemble those of which we have had experience’. 

 

A much-cited example of such reasoning consists of someone concluding that, because they have only ever observed white swans, all swans are therefore white — shifting from the specific to the general. Indeed, Aristotle uses the white swan as an example of a logically necessary relationship. Yet, someone spotting just one black swan disproves the generalisation. 

 

Bertrand Russell once set out the issue in this colourful way:

 

‘Domestic animals expect food when they see the person who usually feeds them. We know that all these rather crude expectations of uniformity are liable to be misleading. The man who has fed the chicken every day throughout its life at last wrings its neck instead, showing that more refined views as to uniformity of nature would have been useful to the chicken’.

 

The person’s theory that all swans are white — or the chicken’s theory that the man will continue to feed it — can be falsified, which sits at the core of the ‘falsification’ principle developed by philosopher of science Karl Popper. The heart of this principle is that in science a hypothesis or theory or proposition must be falsifiable, that is, to possibly being shown wrong. Or, in other words, to be testable through evidence. For Popper, a claim that is untestable is no longer scientific. 

 

However, a testable hypothesis that is proven through experience to be wrong (falsified) can be revised, or perhaps discarded and replaced by a wholly new proposition or paradigm. This happens in science all the time, of course. But here’s the rub: humanity can’t let uncertainty paralyse progress. As Russell also said: 

 

‘One ought to be able to act vigorously in spite of the doubt. . . . One has in practical life to act upon probabilities’.

 

So, in practice, whether implicitly or explicitly, we accept uncertainty as a condition in all fields — throughout the humanities, social sciences, formal sciences, and natural sciences — especially if we judge the prevailing uncertainty to be tiny enough to live with. Here’s a concrete example, from science.

 

In the 1960s, the British theoretical physicist, Peter Higgs, mathematically predicted the existence of a specific subatomic particle. The last missing piece in the Standard Model of particle physics. But no one had yet seen it, so the elusive particle remained a hypothesis. Only several decades later, in 2012, did CERN’s Large Hadron Collider reveal the particle, whose field is claimed to have the effect of giving all other particles their mass. (Earning Higgs, and his colleague Francis Englert, the Nobel prize in physics.)

 

The CERN scientists’ announcement said that their confirmation bore ‘five-sigma’ certainty. That is, there was only 1 chance in 3.5 million that what was sighted was a fluke, or something other than the then-named Higgs boson. A level of certainty (or of uncertainty, if you will) that physicists could very comfortably live with. Though as Kyle Cranmer, one of the scientists on the team that discovered the particle, appropriately stresses, there remains an element of uncertainty: 

 

“People want to hear declarative statements, like ‘The probability that there’s a Higgs is 99.9 percent,’ but the real statement has an ‘if’ in there. There’s a conditional. There’s no way to remove the conditional.”

 

Of course, not in many instances in everyday life do we have to calculate the probability of reality. But we might, through either reasoning or subconscious means, come to conclusions about the likelihood of what we choose to act on as being right, or safely right enough. The stakes of being wrong matter — sometimes a little, other times consequentially. Peter Higgs got it right; Bertrand Russell’s chicken got it wrong.

  

The takeaway from all this is that we cannot know things with absolute epistemic certainty. Theories are provisional. Scepticism is essential. Even wrong theories kindle progress. The so-called ‘theory of everything’ will remain evasively slippery. Yet, we’re aware we know some things with greater certainty than other things. We use that awareness to advantage, informing theory, understanding, and policy, ranging from the esoteric to the everyday.

 

Picture Post #59 Proscenium

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'Because things don’t appear to be the known thing; they aren’t what they seemed to be neither will they become what they might appear to become.'

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Posted by Martin Cohen

      

To me, this image has a theatrical quality, almost a grotesque aspect. Look at the man's hand, on his leg, like a dead thing… the awkward tilt of his head. And how thin and sickly the whole body, in this seedy room with the dirty backdrop. 

Yet, at the time, this was modernity, and sophistication. This image represented new technology: think 'Steve Jobs' and iPhones.

The photo was taken exactly 127 years ago, that man could be my great great grandfather, which is to say not so incredibly a remote relation. Yet something has changed, and a certain innocence has been lost even in our celebration of sophistication.

Oh, and why did I call this post ‘Proscenium’? I came across the term reading about the new, trendy visual presentations. It's a term describing the part of a theatre stage in front of the curtain.  The two figures are thus playing out a very ancient routine - that also points to a very different future.

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