The Diamond–Water Paradox

All that glitters is not gold! Or at least, is not worth as much as gold. Here, richly interwoven cubic crystals of light metallic golden pyrite – also known as fool’s gold – are rare but nowhere near as valuable. Why’s that?

By Keith Tidman

One of the notable contributions of the Enlightenment philosopher, Adam Smith, to the development of modern economics concerned the so-called ‘paradox of value’.

That is, the question of why one of the most-critical items in people’s lives, water, is typically valued far less than, say, a diamond, which may be a nice decorative bauble to flaunt but is considerably less essential to life? As Smith couched the issue in his magnum opus, titled An Inquiry Into the Nature and Causes of the Wealth of Nations (1776):

‘Nothing is more useful than water: but it will purchase scarcely anything; scarcely anything can be had in exchange for it. A diamond, on the contrary, has scarcely any use-value; but a very great quantity of other goods may frequently be had in exchange for it’.

It turns out that the question has deep roots, dating back more than two millennia, explored by Plato and Aristotle, as well as later luminaries, like the seventeenth-century philosopher John Locke and eighteenth-century economist John Law.

For Aristotle, the solution to the paradox involved distinguishing between two kinds of ‘value’: the value of a product in its use, such as water in slaking thirst, and its value in exchange, epitomised by a precious metal conveying the power to buy, or barter for, another good or service.

But, in the minds of later thinkers on the topic, that explanation seemed not to suffice. So, Smith came at the paradox differently, through the theory of the ‘cost of production’ — the expenditure of capital and labour. In many regions of the world, where rain is plentiful, water is easy to find and retrieve in abundance, perhaps by digging a well, or walking to a river or lake, or simply turning on a kitchen faucet. However, diamonds are everywhere harder to find, retrieve, and prepare.

Of course, that balance in value might dramatically tip in water’s favour in largely barren regions, where droughts may be commonplace — with consequences for food security, infant survival, and disease prevalence — with local inhabitants therefore rightly and necessarily regarding water as precious in and of itself. So context matters.

Clearly, however, for someone lost in the desert, parched and staggering around under a blistering sun, the use-value of water exceeds that of a diamond. ‘Utility’ in this instance is how well something gratifies a person’s wants or needs, a subjective measure. Accordingly, John Locke, too, pinned a commodity’s value to its utility — the satisfaction that a good or service gives someone.

For such a person dying of thirst in the desert, ‘opportunity cost’, or what they could obtain in exchange for a diamond at a later time (what’s lost in giving up the other choice), wouldn’t matter — especially if they otherwise couldn’t be assured of making it safely out of the broiling sand alive and healthy.

But what if, instead, that same choice between water and a diamond is reliably offered to the person every fifteen minutes rather than as a one-off? It now makes sense, let’s say, to opt for a diamond three times out of the four offers made each hour, and to choose water once an hour. Where access to an additional unit (bottle) of water each hour will suffice for survival and health, securing the individual’s safe exit from the desert. A scenario that captures the so-called ‘marginal utility’ explanation of value.

However, as with many things in life, the more water an individual acquires in even this harsh desert setting, with basic needs met, the less useful or gratifying the water becomes, referred to as the ‘law of diminishing marginal utility’. An extra unit of water gives very little or even no extra satisfaction.

According to ‘marginal utility’, then, a person will use a commodity to meet a need or want, based on perceived hierarchy of priorities. In the nineteenth century, the Austrian economic theorist Eugen Ritter von Böhm-Bawerk provided an illustration of this concept, exemplified by a farmer owning five sacks of grain:

• The farmer sets aside the first sack to make bread, for the basics of survival. 
• He uses the second sack of grain to make yet more bread so that he’s fit enough to perform strenuous work around the farm. 
• He devotes the third sack to feed his farm animals. 
• The fourth he uses in distilling alcohol. 
• And the last sack of grain the farmer uses to feed birds.

If one of those bags is inexplicably lost, the farmer will not then reduce each of the remaining activities by one-fifth, as that would thoughtlessly cut into higher-priority needs. Instead, he will stop feeding the birds, deemed the least-valuable activity, leaving intact the grain for the four more-valuable activities in order to meet what he deems greater needs.

Accordingly, the next least-productive (least-valuable) sack is the fourth, set aside to make alcohol, which would be sacrificed if another sack is lost. And so on, working backwards, until, in a worst-case situation, the farmer is left with the first sack — that is, the grain essential for feeding him so that he stays alive. This situation of the farmer and his five sacks of grain illustrates how the ‘marginal utility’ of a good is driven by personal judgement of least and highest importance, always within a context.

Life today provides contemporary instances of this paradox of value.

Consider, for example, how society pays individual megastars in entertainment and sports vastly more than, say, school teachers. This is so, even though citizens insist they highly value teachers, entrusting them with educating the next generation for society’s future competitive economic development. Megastar entertainers and athletes are of course rare, while teachers are plentiful. According to diminishing marginal utility, acquiring one other teacher is easier and cheaper than acquiring one other top entertainer or athlete.

Consider, too, collectables like historical stamps and ancient coins. Afar from their original purpose, these commodities no longer have use-value. Yet, ‘a very great quantity of other goods may frequently be had in exchange for them’, to evoke Smith’s diamond analogue. Factors like scarcity, condition, provenance, and subjective constructs of worth in the minds of the collector community fuel value, when swapping, selling, buying — or exchanging for other goods and services.

Of course, the dynamics of value can prove brittle. History has taught us that many times. Recall, for example, the exuberant valuing of tulips in seventeenth-century Holland. Speculation in tulips skyrocketed — with some varieties worth more than houses in Amsterdam — in what was surely one of the most-curious bubbles ever. Eventually, ‘tulipmania’ came to a sudden end; however, whether the valuing of, say, today’s cryptocurrencies, which are digital, intangible, and volatile, will follow suit and falter, or compete indefinitely with dollars, euros, pounds, and renminbi, remains an unclosed chapter in the paradox of value.

Ultimately, value is demonstrably an emergent construct of the mind, whereby ‘knowledge’, as perhaps the most-ubiquitous commodity, poses a special paradoxical case. Knowledge has value simultaneously and equally ‘in its use’ and ‘in its exchange’. In the former, that is in its use, knowledge is applied to acquire one’s own needs and wants; in the latter, that is in its exchange, knowledge becomes of benefit to others in acquiring their needs and wants. Is there perhaps a solution to Smith’s paradox here?

Identity: From Theseus's Paradox to the Singularity

Posted by Keith Tidman

A "replica" of an ancient Greek merchant ship based on the remains of a ship that wrecked about 2,500 years ago.  With acknowledgements to Donald Hart Keith.

As the legend goes, Theseus was an imposing Greek hero, who consolidated power and became the mythical king of Athens. Along the way, he awed everyone by leading victorious military campaigns. The Athenians honoured Theseus by displaying his ship in the Athenian harbour. As the decades rolled by, parts of the ship rotted. To preserve the memorial, each time a plank decayed, the Athenians replaced it with a new plank of the same kind of wood. First one plank, then several, then many, then all.

As parts of the ship were replaced, at what point was it no longer the ‘ship of Theseus’? Or did the ship retain its unique (undiminished) identity the entire time, no matter how many planks were replaced? Do the answers to those two questions change if the old planks, which had been warehoused rather than disposed of, were later reassembled into the ship? Which, then, is the legendary ‘ship of Theseus’, deserving of reverence — the ship whose planks had been replaced over the years, or the ship reassembled from the stored rotten planks, or neither? The Greek biographer and philosopher Plutarch elaborated on the paradox in the first century in 'Life of Theseus'.

At the core of these questions about a mythical ship is the matter of ‘identity’. Such as how to define ‘an object’; whether an object is limited to the sum of people’s experience of it; whether an object can in some manner stay the same, regardless of the (macro or micro) changes it undergoes; whether the same rules regarding identity apply to all objects, or if there are exceptions; whether gradual and emergent, rather than immediate, change makes a difference in identity; and so forth.

The seventeenth-century English poilitical philosopher, Thomas Hobbes, weighed in on the conundrum, asking, ‘Which of the two existing ships is numerically one and the same ship as Theseus’s original ship?’ He went on to offer this take on the matter:

‘If some part of the first material has been removed or another part has been added, that ship will be another being, or another body. For, there cannot be a body “the same in number” whose parts are not all the same, because all a body’s parts, taken collectively, are the same as the whole.’

The discussion is not, of course, confined to Theseus’s ship. All physical objects are subject to change over time: suns (stars), trees, houses, cats, rugs, hammers, engines, DNA, the Andromeda galaxy, monuments, icebergs, oceans. As do differently categorised entities, such as societies, institutions, and organizations. And people’s bodies, which change with age of course — but more particularly, whose cells get replaced, in their entirety, roughly every seven years throughout one’s life. Yet, we observe that amidst such change — even radical or wholesale change — the names of things typically don’t change; we don’t start calling them something else. (Hobbes is still Hobbes seven years later, despite cellular replacement.)

The examples abound, as do the issues of identity. It was what led the ancient Greek philosopher Heraclitus to famously question whether, in light of continuous change, one can ‘step into the same river twice’—answering that it’s ‘not the same river and he’s not the same man’. And it’s what led Hobbes, in the case of the human body, to conveniently switch from the ‘same parts’ principle he had applied to Theseus’s ship, saying regarding people, ‘because of the unbroken nature of the flux by which matter decays and is replaced, he is always the same man’. (Or woman. Or child.) By extension of this principle, objects like the sun, though changing — emitting energy through nuclear fusion and undergoing cycles — have what might be called a core ‘persistence’, even as aspects of their form change.

‘If the same substance which thinks be changed,
it can be the same person, or remaining
the same, it can be a different person? — John Locke

But people, especially, are self-evidently more than just bodies. They’re also identified by their minds — knowledge, memories, creative instincts, intentions, wants, likes and dislikes, sense of self, sense of others, sense of time, dreams, curiosity, perceptions, imagination, spirituality, hopes, acquisitiveness, relationships, values, and all the rest. This aspect to ‘personal identity’, which John Locke encapsulates under the label ‘consciousness’ (self) and which undergoes continuous change, underpins the identity of a person, even over time — what has been referred to as ‘diachronic’ personal identity. In contrast, the body and mind, at any single moment in time, has been referred to as ‘synchronic’ personal identity. We remain aware of both states — continuous change and single moments — in turns (that is, the mind rapidly switching back and forth, analogous to what happens while supposedly 'multitasking'), depending on the circumstance.

The philosophical context surrounding personal identity — what’s essential and sufficient for personhood and identity — relates to today’s several variants of the so-called ‘singularity’, spurring modern-day paradoxes and thought experiments. For example, the intervention of humans to spur biological evolution — through neuroscience and artificial intelligence — beyond current physical and cognitive limitations is one way to express the ‘singularity’. One might choose to replace organs and other parts of the body — the way the planks of Theseus’s ship were replaced — with non-biological components and to install brain enhancements that make heightened intelligence (even what’s been dubbed ultraintelligence) possible. This unfolding may be continuous, undergoing a so-called phase transition.

The futurologist, Ray Kurzweil, has observed, ‘We're going to become increasingly non-biological’ — attaining a tipping point ‘where the non-biological part dominates and the biological part is not important any more’. The process entails the (re)engineering of descendants, where each milestone of change stretches the natural features of human biology. It’s where the identity conundrum is revisited, with an affirmative nod to the belief that mind and body lend themselves to major enhancement. Since such a process would occur gradually and continuously, rather than just in one fell swoop (momentary), it would fall under the rubric of ‘diachronic’ change. There’s persistence, according to which personhood — the same person — remains despite the incremental change.

In that same manner, some blend of neuroscience, artificial intelligence, heuristics, the biological sciences, and transformative, leading-edge technology, with influences from disciplines like philosophy and the social sciences, may allow a future generation to ‘upload the mind’ — scanning and mapping the mind’s salient features — from a person to another substrate. That other substrate may be biological or a many-orders-of-magnitude-more-powerful (such as quantum) computer. The uploaded mind — ‘whole-brain emulation’ — may preserve, indistinguishably, the consciousness and personal identity of the person from whom the mind came. ‘Captured’, in this term’s most benign sense, from the activities of the brain’s tens of billions of neurons and trillions of synapses.

‘Even in a different body, you’d still be you
if you had the same beliefs, the same worldview,
and the same memories.’ — Daniel Dennett

If the process can happen once, it can happen multiple times, for the same person. In that case, reflecting back on Theseus’s ship and notions of personal identity, which intuitively is the real person? Just the original? Just the first upload? The original and the first upload? The original and all the uploads? None of the uploads? How would ‘obsolescence’ fit in, or not fit in? The terms ‘person’ and ‘identity’ will certainly need to be revised, beyond the definitions already raised by philosophers through history, to reflect the new realities presented to us by rapid invention and reinvention.

Concomitantly, many issues will bubble to the surface regarding social, ethical, regulatory, legal, spiritual, and other considerations in a world of emulated (duplicated) personhood. Such as: what might be the new ethical universe that society must make sense of, and what may be the (ever-shifting) constraints; whether the original person and emulated person could claim equal rights; whether any one person (the original or emulation) could choose to die at some point; what changes society might confront, such as inequities in opportunity and shifting centers of power; what institutions might be necessary to settle the questions and manage the process in order to minimise disruption; and so forth, all the while venturing increasingly into a curiously untested zone.

The possibilities are thorny, as well as hard to anticipate in their entirety; many broad contours are apparent, with specificity to emerge at its own pace. The possibilities will become increasingly apparent as new capabilities arise (building on one another) and as society is therefore obliged, by the press of circumstances, to weigh the what and how-to — as well as the ‘ought’, of course. That qualified level of predictive certainty is not unexpected, after all: given sluggish change in the Medieval Period, our twelfth-century forebears, for example, had no problem anticipating what thirteenth-century life might offer. At that time in history, social change was more in line with the slow, plank-by-plank changes to Theseus’s ship. Today, the new dynamic of what one might call precocious change — combined with increasingly successful, productive, leveraged alliances among the various disciplines — makes gazing into the twenty-second century an unprecedentedly challenging briar patch.

New paradoxes surrounding humanity in the context of change, and thus of identity (who and what I am and will become), must certainly arise. At the very least, amidst startling, transformative self-reinvention, the question of what is the bedrock of personal identity will be paramount.

How Does Identity Politics Infuse Political Discourse?

Posted by Keith Tidman

Chameleon – Image acknowledgement: National Geographic

The great English political philosopher, John Locke, observed:

“We are like chameleons, we take our hue and the colour of our moral character, from those who are around us.”

Locke’s insight into human tendencies and the effects of relationships applies as much to identity politics — and the behaviours, aspirations, and goals of group affiliation — as to society as a whole.

Identity politics has been making increasingly recurrent global appearances, announced with bold headlines: In the United States, legal and constitutional grappling over a ban on incoming travelers from select countries; in the United Kingdom, a vote to leave the European Union, at least in part inspired by unrest over borders and immigration; in the Netherlands, calls heard for those who do not ‘agree with us’ to leave. The examples are plenty; the social and political lines are clearly and often-fervidly drawn.

This brand of politics typically pulls in groups whose allied members self-identify on the basis of assorted social identifiers and causes — race, ethnicity, national origin, gender, sexual orientation, social background, disability, religion, economic class, generational cohort, education, indigenous provenance, language, and others. Identity politics also pulls in policymakers disposed sympathetically to reach out to, understand, and advocate on behalf of these groups’ interests — as well as policymakers who, rooted in their own conviction, don’t and won’t. The glue that binds members of self-identified alliances is wariness over the specter of coercion and disapproval, as seen to be normalised by the dominant demographic of society.

‘Identity politics’ is a loaded term, fraught with powerful emotions and symbols. Members of these subgroups, apprehensive of diminished power in their personal and public lives, share the belief that clear-cut identifiers set them up for potential distrust and discrimination. Those reactions by ‘outsiders’, whose judgement may at times be tinged with nativism, fuel a sense of marginalisation and disenfranchisement. The distinctive ‘otherness’ of these self-identified subgroups may prove a handicap not just to acceptance by the mainstream, but to opportunities to fully partake of the benefits that society routinely offers to the majority—or, perhaps more often, that the majority offers to itself.

Group constituents feel deprived of opportunities to determine — at their own discretion, undiminished by reactionary elements — even the larger, existential contours of their lives: their role, their purpose, their future. Through group consciousness and identity, the groups’ struggle has a cosmopolitan ring: communities with shared values, sometimes philosophically disagreeing with one another as ideas churn and contradictions slowly get untangled through a healthy dialectic, often subsequently guided by a written or at least implied platform. Moreover, collaboration across groups may be seen as a viable strategy to amplify their individual voices. Good ideas, after all, are not a zero-sum currency, so aggregating ideas across groups is to their collective advantage.

Perhaps it’s too easy to shoehorn people into social categories with their own demographic markers, but that seems the reality — with the potential for wedge issues to spur spirited differences of opinion about leadership, principles, and methods. The latter being a beneficial dynamic, however. Identity politics serves as a force multiplier in burnishing the groups’ philosophy and ideology, and in the process taking it public. This includes their grievances, their claim to rights and redress, and their petitions to political representatives for systemic, institutional change. Like-minded political representatives may act as the advance guard, taking to the bully pulpit, as well as legislating to replace discriminatory policy with positive policy — practical, actionable policy, not just feel-good nostrums.

Collective action and voice are aimed at repudiating and pushing back against recursive incidents of stereotyping and stigmatizing. Such action and voice provide the bedrock for defying what arguably bodes the worst for members of these subgroups: that is, the threat of irrelevance. And they are aimed at harnessing the energy to successfully counter the narratives that deepen the social fissures and attempt not only to carve out a lesser status in society for group members, but also deprive people of undiminished expression of their equality and value in an otherwise often heterogeneous society.

Identify politics is neither a conservative nor a liberal phenomenon; it falls on both sides of that (reductive) divide. Populism, for example, comes in both political flavors — as continues to be seen in countries around the world. One category that fits under either the liberal or conservative rubric is ‘social background’ — where a sense of victimhood is more important to group members than is simple demographic labeling. People resorting to a crude, reflexive branding of groups may wield any ideology on the political continuum, from the far left to the far right. It’s whatever proves handy in the moment, however one may be philosophically predisposed — where actions, not just reimagined theory, matter, serving as an accelerant for change.

Accordingly, those who disapprove of what they see and hear may seize upon both conservative and liberal identifiers as a framework and animating principles for their cause. Social groups that fall into either category must reclaim their history and draft their own narrative, shouldering how they wish to be defined — outside the orbit of cultural hegemony, accepted non-judgementally for who and what they are and for what they want to become. Societies benefit by allowing room for both conservative and liberal identities to thrive, serving as a bulwark for the best of democracy and its organising principles, even as the balance between the two ideologies might shift back and forth in turns.

Whether identity politics — largely unmoored from mainstream politics — is an effective strategy for politicians campaigning and legislating is an ongoing debate. Legislators, strategists, political pundits, academics, and the public have weighed in. Concerns include, at the core, whether the focus on identity politics atomises audiences with very different identities and needs, and in so doing risks diluting broader-based political messaging.

Those opposed to identity politics argue that messaging would be more effective if the targeted audience is only ever all society — hoping to hit the broader themes of greatest concern to the greatest number of people for the greatest return. Preferably as much outside of a partisan framework as possible, notwithstanding policymakers’ predisposition toward political expediency. Yet, an ambitiously inclusive message risks misfiring in the minds of many self-identified groups, whose platforms, expectations, and anxieties need to be spoken to in a tailored way in order to resonate most productively. Ideally, the greatest effectiveness would emerge from a fusion of both identity messaging and mainstream messaging. Coffers and personnel permitting, it doesn’t have to be either-or.

As the contemporary political philosopher, Sonia Kruks, puts it, how today’s identity politics steers a materially different path from earlier forms of the politics of recognition is the “demand for recognition on the basis of the very grounds on which recognition has previously been denied” — race, gender, ethnicity, and so forth.

This key, enabling ‘demand’ goes beyond the mere superficialities of unsatisfying, insufficient protectionism. Rather, it conjures proactivity, self-assuredness, articulateness, and an embrace of the legitimacy of one’s identity through shared experiences. Locke’s enlightened spirit fits this endeavour, valuing everyone (irrespective of ‘social tribe’) as “equal and independent,” free from “harm” — where the restorative powers of human and civil liberties take an ever-firm hold.

Shapeshifters, Socks, and Personal Identity

Posted by Martin Cohen

Perhaps the proudest achievement of philosophy in the past thousand years is the discovery that each of us really does know that we exist. Descartes sort-of proved that with his famous saying:

"I think therefore I am."

Just unfortunate then, that there is a big question mark hanging over the word ‘I’ here – over the notion of what philosophers call ‘personal identity’. The practical reality is that neither you nor I are in fact one person but rather a stream of ever so slightly different people. Think back ten years – what did you have in common with that creature who borrowed your name back then? Not the same physical cells, certainly. They last only a few months at most. The same ideas and beliefs? But how many of us are stuck with the same ideas and beliefs over the long run? Thank goodness these too can change and shift.

In reality, we look, feel and most importantly think very differently at various points in our lives.

Such preoccupations go back a long, long way. In folk tales, for example, like those told by the Brothers Grimm, frogs become princes – or princesses! a noble daughter becomes an elegant, white deer, and a warrior hero becomes a kind of snake. In all such cases, the character of the original person is simply placed in the body of the animal, as though it were all as simple as a quick change of clothes.

Many philosophers, such as John Locke, who lived way back in the seventeenth century, have been fascinated by the idea of such ‘shapeshifting’, which they see as raising profound and subtle questions about personal identity. Locke himself tried to imagine what would happen if a prince woke up one morning to find himself in the body of a pauper – the kind of poor person he wouldn’t even notice if he rode past them in the street in his royal carriage!

As I explained in a book called Philosophy for Dummies – confusing many readers – Locke discusses the nature of identity. He uses some thought experiments too as part of this, but not, by the way (per multiple queries!) the sock example. He didn't literally wonder about how many repairs he could make to one of his socks before it somehow ceased to be the original sock. He talks, though about a prince and a cobbler and asks which ‘bit’ of a person defines them as that person?

In a chapter called ‘Of Identity and Diversity’ in the second edition of the Essay Concerning Human Understanding, he distinguishes between collections of atoms that are unique, and something made up of the same atoms in different arrangements.

Living things, like people, for example, are given their particular identity not by their atoms (because each person's atoms change regularly, as we know) but rather are defined by the particular way that they are organised. The point argued for in his famous Prince and the Cobbler example is that if the spirit of the Prince can be imagined to be transferred to the body of the Cobbler, then the resulting person is ‘really’ the Prince.

Locke’s famous definition of what it means to be a ‘Person’ is:

‘A thinking intelligent being, that has reason, and can consider it self as it self, the same thinking thing, in different times and places; which it does only by that consciousness, which is inseparable from thinking’

More recently, a university philosopher, Derek Parfit, has pondered a more modern–sounding story, all about doctors physically putting his brain into someone else's body, in such a way that all his memories, beliefs and personal habits were transferred intact. Indeed today, rather grisly proposals are being made for ‘transplants’ like this. But our interest is philosophy, and Derek’s fiendish touch is to ask what would happen if it turned out that only half a brain was enough to do this kind of ‘personality transfer’?

Why is that a fiendish question to ask? But if that were possible, potentially we could make two new Dereks out of the first one! Then how would anyone know who was the ‘real’ one?!

Okay, that's all very unlikely anyway. And yet there are real questions and plenty of grays surrounding personal identity. Today, people are undergoing operations to change their gender – transgender John becomes Jane – or do they? Chronically overweight people are struggling to ‘rediscover’ themselves as thin people – or are they a fat person whose digestion is artificially constrained? Obesity and gender dysporia alike raise profound philosophical, not merely medical questions.

On the larger scale, too, nations struggle to decide their identity - some insisting that it involves restricting certain ethnic groups, others that it rests on enforcing certain cultural practices. Yet the reality, as in the individual human body, is slow and continuous change. The perception of a fixed identity is misleading.

“You think you are, what you are not.” 

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* The book is intended for introducing children to some of the big philosophical ideas. Copies can be obtained online here: https://www.createspace.com/6299050