The Enlightenment &

The Modern World View

 

By Robin Phillips

 

Introduction

 

It is reported that William Temple, who became the Archbishop of Canterbury in 1942, once asked his father, who was then the Archbishop, “Daddy, why don’t the philosophers rule the world?” His father looked down at the boy and replied, “Of course they do, silly – two hundred years after they’re dead!”

The more I study history, the more convinced I become that William Temple’s father had a point. In fact, I would state the matter in even stronger terms: there has never been a more powerful influence, a greater agency of change or a stronger force for good or ill in this world as that of human ideas.

Such a statement may seem out of place in a culture that has long since relegated philosophy to a specialists’ discipline - one which is thought to have little or no relevance to the world of every day affairs. Indeed, in many people’s minds, philosophy is associated with dry and dusty academics who have nothing better to do than to waste their time on speculations about whether they really exist. Even when our thinking is not dominated by such caricatures, it is certainly true that we have come a long way from the time when philosophy was thought to be the backbone of all the disciplines, including the sciences (indeed, the early scienctists called themselves “Natural Philosophers”)

Let us suppose, for the sake of argument, that philosophy is still the backbone to everything, even though it is not recognized as such. Let us suppose that the whole shape of Western society is based on certain unconscious philosophical assumptions about life, mankind and the world? Furthermore, could it be that everything about our lives, from the way think of ourselves to who we vote for to how we view sex, is based on certain unconscious philosophical assumptions that, because they are unnoticed, go unexamined and unchallenged?

Of course, if this is how things stand, if we are being ‘ruled’, so to speak, by philosophers from the past without even realizing it, then we will want to ferret out these unconscious influences and examine them in the broad light of day. We will want to consider whether the ideas that exert such powerful influences on us and our culture are true ideas.

That is the reason I have written this and the following essay. In studying certain aspects of our society, I have become convinced that we are the unconscious recipients of a philosophical movement that emerged three hundred years ago. The movement to which I refer is that to which history has given the name “the Enlightenment.” Though much time has elasped since this period of, so called, enlightenment, and though much of the thinking which dominated that time of history may seem archaic to the postmodern mind, nevertheless the Enlightenment period exercized such a lasting influence on Western culture that the matter can hardly be overstated. In fact, there is a sense in which the Enlightenment is more of a reality today than it was during the actual period of the 18th century. During the Enlightenment period, the philosophical revolution was comparitively intellectual; three hundred years later and this philosophy is not something we so much think about, but something that we live out in almost every aspect of our society. Even postmodernism, which in many ways has superceeded the modernism of the Enlightenment, could never have come about but for it’s Enlightenment pedigree.

In this essay, I shall be showing what was the foundation of the Enlightenment’s revolutionary philosophy. In further essay, I shall attempt to show how our society is unconsciously ‘ruled’ by the Enlightenment in some important practical areas.

 

The “Enlightenment”

 

History has designated the 18th century as “the age of Enlightenment.” It was during this period that Western man is supposed to have been finally enlightened concerning the true nature of the world he inhabits. This was the period when reason, liberated from the constricting influences of dogmatic faith, was supposedly set free to scrutinize the universe with unprecedented courage and acuity.

It was during this period that the foundations for the modern world view were forged. Whereas previously Western man had generally viewed the universe theocentrically (oriented around God), it now began to view the universe egocentrically (oriented around man). Whereas previously the universe was understood and explained through reference to God, during the Enlightenment the universe began to be understood in purely materialistic terms.

 

 

Materialism and Determinism

 

            Materialism in the philosophical sense does not refer to greedy consumerism. Rather, it refers to the view that “all entities and processes are composed of – or are reducible to – matter, material forces or physical processes. …materialism entails the denial of the reality of spiritual beings, consciousness and mental or psychic states or processes, as ontologically distinct from, or independent of, material changes or processes.”[1] That, at least, is how the dictionary defines materialism. Put more simply, the universe of the materialist is one in which everything, including you and me, is reduced to physics and chemistry. Not surprisingly, materialism is usually associated with atheism and agnosticism.

Before proceeding there is another term that needs defining: determinism. Determinism is connected with materialism because it is the logical result of the latter. Determinism is the view that everything, including man’s actions, are pre-determined by physical forces. Determinists believe that free will, in the ordinary sense at least, is an illusion, for in everything we do it is never true that we could have done otherwise.

This deterministic way of viewing of the universe was reflected in Diderot’s “skeptic’s prayer.” After spending an entire book looking squarely at the consequences of the materialist worldview, he closes with the following prayer:

 

O God, I do not know if you exist….I ask nothing in this world, for the course of events is determined by its own necessity if you do not exist, or by your decree if you do…. Here I stand, as I am, a necessarily organized part of eternal and necessary matter – or perhaps your own creation….[2]

 

So how did these ideas of materialism and determinism come to be accepted during the Enlightenment? To answer that question, we have to backtrack into the 17th century. While the 17th century held many thinkers and writers whose work contributed to the Enlightenment, we shall be looking at only three figures whose ideas were particularly relevant in the establishment of determinism.

 

 

Newton and Locke

 

            One doesn’t have to read far in the literature of the Enlightenment to see one name esteemed above all others. Voltaire called him “the greatest man who ever lived.”

The man was Isaac Newton (1642-1727), the great scientist who is perhaps best known for discovering the law of gravity. Newton’s work was extremely influential during the Enlightenment, especially where the philosophies of materialism and determinism were concerned.

Before Newton many scientists had made inroads towards the goal of understanding the laws by which the universe was ordered. Galileo had shown the laws of terrestrial motion; Kepler had shown the laws of planetary motion while Descartes’ had showed that the universe operated mechanistically. What made Newton stand out above his precursors, however, was the way he effectively integrated all previous knowledge into a single, comprehensive theory.

Newton’s discoveries about the laws of motion allowed people to take a state-description of any system and work out from that description what the future state-descriptions would be and what the past state-descriptions had been. The same descriptions that held true of the universe also held true of the trajectory of a ping pong ball and falling apples. If the position and momentum of every point-particle is given, then a system can be completely described in mechanistic terms. Applied to the universe as a whole, this meant that the universe was rational, intelligible, and operated like a great machine in constant obedience to the laws God had created. Hence, Newton’s joyful exclamation, “O God, I think thy thoughts after thee!” Referring to Newton, Lucas writes,

 

He gives us a ‘God’s eye’ view of the universe, in which the whole of space at any one time is present immediately to God, who knows all the atoms individually, as it were by name, and knows where they are and what they are doing…. Newton views the world bathed in Absolute light, or better, illuminated by Absolute omniscience, a world of Absolute things in Absolute space, at one particular instant of Absolute time, all immediately present in God’s consciousness, as it were in His sensorium.[3]

 

            With God playing such an important part in Newton’s thinking, it may seem strange that I suggested earlier that his ideas played a central role in the development of a materialistic worldview. Before looking at that, however, it is important to understand the basic distinction between a materialistic universe and a mechanistic one. Newton showed that the universe was ‘mechanical’ in the sense that nature had fixed laws and operated like a big machine. The important thing to realize is that although Newton described the universe in mechanistic terms, he did not describe the universe in materialistic terms. He never believed that his discoveries rendered God unnecessary nor did he advocate determinism. Although Newton showed the ways in which nature’s patterns were determined by nature’s laws, one cannot call this determinism since Newton never applied this to man himself. Newton’s laws of motion might describe the trajectory of a man being fired from a catapult, but not the same man walking round his garden. Above all, such laws cannot explain our thoughts and decisions.

Newton’s discoveries, properly understood, always pointed towards the Creative intelligence behind everything. This elevated man who was made in God’s image and could discover the universe’s laws while being more than merely the product of physics. Speaking again of Newton’s ideas Lucas writes as follows:

 

…God, the Creator, is Himself uncreate, and not part of the created world. Newton, taking the God’s eye view, always considers the world from outside. He could thus embrace materialism and mechanistic determinism as completely true, because not true of completely everything – oneself, and every thing to do with oneself, was always excepted. Like God, the thinker was not himself subject to the laws he laid down as obeyed by everything else; and awkward problems were thereby avoided. [4]

 

            How then did Newton’s physics become associated with a materialistic view of the universe? The process began with John Locke (1632-1704), a contemporary and friend of Newton, who was also an important precursor of the Enlightenment. Now Locke was a determinist, for he believed that human beings, as well as the universe, are completely governed by deterministic forces. The principles that Newton saw as applying only to the material world Locke sees as applying to mankind. Locke believed that a complete description of the world (and that includes everything, including your and my actions) can be arrived at from mechanical state-descriptions. Thus, if we had enough information, then theoretically the future of the universe could be predicted in every respect, not just in some respects.

Such determinism even applies to our own thoughts. Hume, building on Locke’s theory in the 18th century, wrote about the involuntary association of ideas which our experience has connected together. “All these operations are a species of natural instincts which no reasoning or process of thought and understanding is able either to produce or to prevent.”[5]

Locke, like other philosophers of the 17th century, had been careful to try to fit his ideas into a Christian framework. Locke even wrote a book defending the reasonableness of Christianity. However, this mattered little to the next generation who was prepared to be more consistent with the consequence of his philosophy. In proposing a theory that reduced man to matter, Locke’s philosophy became one of the foundation stones of the Enlightenment’s attack on revealed religion.

 

Spinoza

 

Another 17th century determinist, whose writings would influence the Enlightenment, was Benedict De Spinoza (1632-77). As with Locke, we again find the strange conjunction of materialism and theism. Spinoza’s theism consisted in a God who “[existed] in only a philosophical sense…" This “philosophical God” of Spinoza’s system was not distinct from His creation, but identified with nature. As he wrote, “Whatever is, is in God…” Depending on how you look at it, either nature is being deified or God is being naturalized, but either way Spinoza’s unusual kind of theism was only semantically different from later atheism. Since nature, under Spinoza’s nuance, refers to the necessary rational order of all things, it followed that there can be nothing apart from “that eternal and infinite being we call God, or Nature…”

Of course, this led Spinoza to advocate determinism. “All things,” he wrote, “have necessarily flowed, or always followed, by the same necessity and in the same way as from the nature of a triangle it follows, from eternity and to eternity, that its three angles are equal to two right angles." Human actions, thoughts, emotions, no less than God Himself, must be explicable in terms of the universal and necessary laws of this all-inclusive “Nature.” Thus, speaking of the human being, he expressed his desire to “consider human actions and appetites, just as if it were a question of lines, planes, and bodies." Emotions, whether love, anger, hate, envy, pride, jealousy, etc., “follow from the same necessity and force of nature as the other singular things…"

In the next section we shall explore the effect that this materialistic philosophy had on religious belief.


 

Materialism Marginalizes God

 

            As we move on into the 18th century - the period known as the Enlightenment – we find the twin ideologies of determinism and materialism starting to grip the European intellegencia. The ideas which, in the 17th century, were primarily confined to dry and dusty acadamics, began to filter down to the populace. In fact, the figures we normally associate with the Enlightenment - people like Voltaire, Diderot, Rousseau – were simply the popularizers, rather than the inventors, of this new way of looking at things.

 

The Problem of a Personal God

 

            The effect of this new way of thinking on religious belief was dramatic. Since materialism affirmed that it was possible to explain the universe in purely naturalistic terms, no longer was it necessary for there to be a personal God behind everything. The idea of a God who is interested in the affairs of men, a God who gives to man an authoratative revelation or performs miracles, was dismissed as a by-product of pre-scientific superstition.

            Because the new matrerialism was fundamentally anti-Christian, it is easy for people to carelessly assume that the proponants of this philosophy were atheists. This is far from true. In fact, outright atheists were such a rare comodity in the 18th century that Hume was even known to remark that he didn’t believe such people existed at all. The self-appointed task of the 18th century materialists was not to attack the existence of God but, rather, to attack the foundations of revealed religion. Once that was taken care of – that is, once it was no longer credible for a thinking person to believe in such things as authoritative revelation, miracles and a God interested in the details of our personal lives – these philosophers prefered to retain some notion of a Supreme Being rather than face the intellectual difficulties of atheism. As Becker puts it,

 

It seemed safer…to retain God, or some plausable substitute, as a kind of dialectical guarantee that all was well in the most comfortable of commonsense worlds. But, obviously, the Creator as a mere first premise no longer needed those rich and all too human qualities of God the Father. Having performed his essential function of creation, it was proper for him to withdraw from the affairs of men into the shadowy places where absolute being dwells. Thus withdrawn, he ceased to be personal and inconvenient.[6]

 

This ‘Supreme Being’ was called by a variety of names, including First Cause, Supreme Architect, Author of the Universe, or even Benvolent Entity. As long as this Being was unknowable, irrelevent and uninvolved, the philosophers were happy.

            One way of showing that this Supreme Being was irrelevant and non-personal was to show that the universe, and particularly man, was the impersonal result of matter and necessity. If man is not made in the image of God but merely a system of pre-determined physical particulars, then even if you want to say that God started the ball rolling at the beginning, the overall conclusion remains crystal clear: God has nothing to do with our lives and, if He exists at all, is completely irrelevant to the closed pre-determined system in which we are trapped.

 

 

Newtonian Philosophy?

 

            One of the most fascinating, but equally infuriating, aspects of this new materialism was the way it used, or rather, misused, Newtonian science to bolster its agenda. Newton’s discoveries, filtered through the philosophy of Locke and then popularised by Enlightenment polemicists, gave impetus to this new way of looking at the universe.

Becker notes the names of six different 18th century books that popularized “Newtonian philosophy”, as it came to be called. The emalgamation of Newton’s discoveries into a ‘philosophy’ is significance. What was this new philosophy? It was certainly not that for every action there is an equal and oposite reaction. In fact, if you wanted to learn the principles of Newtonian ‘philosophy’, the last place you would want to turn would be to Newton’s own writings. Better turn to such books as Martin’s A Plain and Familiar Introduction to the Newtonian Philosophy (1971) or, better still, Voltaire’s Elements of Newtonian Philosophy (1738).

            Though Voltaire’s book on Newton made clear that “The whole philosophy of Newton leads of necessity to the knowledge of a Supreme Being”[7], the overall thrust of the, so called, ‘Newtonian philosophy’ was towards an impersonal and materialistic way of viewing things. Anyone who wanted to could start with the premise that the universe was governed by a set of rational laws and then leap to the conclusion that the universe and its laws were all there was, or at least, all that can be known. Similarly, one could start from the premise that the universe followed determined laws and then leap to the premise that man’s decisions were likewise pre-determined - that the human being is really no different from lines, planes, and bodies. In taking these leaps from the mechanistic universe of Newton to the materialistic universe of the Enlightenment agnostics, you could feel that science was entirely on your side. Furthermore, since Newton’s discoveries were thought to have banished mystery from the world[8] by showing that everything was rationally explicable on a purely empirical basis, it was again an easy step for those who wished to dismiss all aspects of the unseen world that had been central to Christian dogma.

Of course, things were not so clear cut as I have made out. The new philosophy was not nearly so monolythic as my brief discussion implies while the relationship between Newtonian physics and this new philosophy was actually extremely vague. It was vague because the new philosophy became popular, not because people habitually worked them out from a systematized train of thought, but because of an incholate notion that such ideas were somehow implicated by the advances in science.[9] This vagueness was increased by the fact that the popularizers of the new philosophy were mainly polemicists rather than philosophy professors who, as such, tended to speak in induindo and suggestion. (There were also important political reasons for this rhetorical approach, with the eye of the state-appointed censor always luming large.) As we know from observing the politicians of our own time, one can pass off a lot of illogic when the conclusion is never directly stated but everywhere apparent.

In the next section we shall be looking at a curious effect of this new philosophy. As the role of God became marginalized, we find the concept of Nature being invested with a curious nuance and rising to fill the vacuum.

 

The Quest for Nature

 

 

It is ironic that the very movement which reduced the nature of man and his universe to an impersonal chain of cause and effect, should begin to exalt nature to the status almost of deification. Having convinced themselves that there was nothing to deify in the metaphysical realm, the 18th century humanists began implicitly to deify the physical realm. However, this is no more ironic than the fact that those who convinced themselves that they were nothing more than the product of impersonal causes and effects, if not a complete accident of time plus chance, should exalt the name of man and be remembered today as ‘humanists.’

Perhaps it is not so very ironic after all. Man cannot deny the instincts of his make-up and will have his gods; he will perform his sacred rites. If he finds nothing to worship, then he deifies Man in the collective or, perhaps, the human spirit, if he can momentarily forget that he does not believe in spirits.

So it was in 18th century that Nature became the resident god. In parody of the rejected Bible, it began to become customary to refer to ‘the book of Nature.’ Rather than turning to the words of the apostles and prophets, you turned to what was empirically verifiable in “Nature’s book.” Hence, the famous term ‘natural religion’ that became something of a buzz word during the 18th century.

 

The Problem of Definition

 

            Nature soon came to mean more than merely nature. What it exactly did come to mean would be difficult to say. In studying 18th century literature, scholars have identified over a hundred uses of the term![10] Nature became a useful variable which, attached to any idea or course of action, endowed it with a dignity that was as effective as it was vague. (The closest parallel I can think of is how the term ‘liberty’ is used in American discourse.)

Just as different authors used the concept of nature differently, so the second half of 18th-century saw a shift in how the concept of nature was used. Though it is dangerous to generalize, one can cautiously say that in the first half of the century nature tended to be associated with stability, order and symmetry whereas as the century progressed nature became increasingly associated with disorder, asymmetry and flux.

            Nature was also used as a point of epistemological and moral reference. Those who dispensed with the Christian God and His revelation were not yet ready to reject any external standard, and ‘nature’ – whatever that might mean - seemed to offer an alternative centre of orientation. This was especially felt in the area of ethics.

 

Natural Ethics

 

 All philosophers, no matter how ‘enlightened’ they might be, still wished to preserve some basic notions of morality. Having dispensed with the God of Christianity and His revelation, they wanted to find another suitable base to sustain ethical imperitives. The concept of nature seemed to provide just such a base. Hence, ‘nature’ became the new barometer for determining right and wrong.

            In this ethical context, it is very hard to give an abstract definition for what nature meant. It would be more helpful to look at specific instances. Though there are a near endless array of examples from 18th century texts where Nature is used as an ethical yardstick, two citations will be sufficient to convey the general force, both taken from the famous Encyclopédie.[11]

Speaking on the subject of political authority, Diderot argued for a contractual view of government (which affirms that the power of the sovereign is granted only by the consent of the people, a point Rousseau would later defend in his controversial book The Social Contract). Diderot writes that “No man has received from nature the right to command others.... If nature has established any authority, it is paternal control...”[12] Similarly, in De Jaucourt’s article “Natural Liberty” he speaks of “A right which nature gives to all men” to act however they wish – both with themselves and their possessions - within the boundaries of ‘natural’ law.

As we can see from these quotations, nature has become somewhat personified (a rather surprising fact when we consider that this is the same movement that also reduced nature to depersonalised matter). It is apparently a force, system or condition that establishes normatives that we ought to heed. Of course, using nature in this way only begs the question: what is natural and how can we know what is natural? It is on this point that the 18th century philosophers tended to be rather mute. And they can hardly be blamed if each person had a slightly different understanding of what it meant to be natural. For example, Rousseau understood being “natural” to mean something totally different - in some cases, opposite – to the outlook advocated by Diderot and his associates.

For Rousseau, being ‘natural’ meant returning to more primitive conditions - hence the idea of the ‘Noble Savage.’ Championing the imperatives of ‘nature’, Rousseau opposed Diderot and the philosophes by advocating a more intuitive feeling-based approach. “…consult your own hearts while I speak: that is all I ask.”[13]

It is significant that, for the most part, Rousseau’s criteria for determining what is natural was based on his own feelings and what he termed the ‘internal sentiment.’ In his writings we find most starkly the circularity in which nearly all the 18th century philosophers were trapped: whatever he considers to be good must be natural and whatever is natural must be good.

 

 

Is Everything Natural?

 

            It would be an exaggeration to say that this religion of nature allowed people to legitimise any action with the appellation ‘natural.’ Nevertheless, there began to be a slow move in exactly that direction. As Becker puts it, summarizing Locke’s views,

 

if nature be the work of God, and man the product of nature, then all that man does and thinks, all that he has ever done or thought, must be natural, too, and in accord with the laws of nature and of nature’s God.[14]

 

Locke himself never went so far as to say that everything is natural because everything is inevitable. However, the followers of Locke had no reservation in moving from a mechanistic view of man to formulating an entirely mechanistic theory of moral values. Hence, we find Diderot arguing that since man is a part of nature, whatever he does is, by definition, ‘natural.’ He implied further that deformity, whether moral or physical, cannot really be said to be unnatural since it is purely a matter of human judgement with no objective validity.[15]

To take the determinist’s premise to its logical consequence does entail that it is impossible to act unnaturally. In a determinist’s world, everything we do must be natural because everything we do is the inevitable result of mechanical forces beyond our control.  Hence we find Voltaire writing, “When I am able to do what I will, I am free; but I will what I will of necessity…”[16] Similarly, in a letter to an opponant, Voltaire draws the consistent corollary of the determinist’s position, namely that whether one loves truth or does harm, he is acting in accordance with his pre-determined nature:

 

“I necessarily have the passion for writing this, and you have the passion for condemning me; both of us are equally fools, equally the playthings of destiny. Your nature is to do harm, mine is to love truth, and to make it public in spite of you.”[17]

 

            We thus begin to get a sense for some of the practical difficulties that began to arise out of the materialist/determinist philosophical matrix. As time went on, the effects of this new philosophy began to be felt acutely in a myriad of practical areas. In next essay, we shall be exploring how this was the case with regard to our sexuality and understanding of gender.

 

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[1]   Concise Routledge Encyclopedia of Philosophy (New York, NY: Routledge, 2000), p. 535.

[2]   From Diderot’s Interprétation de la nature (1754), cited by Norman Hampson, The Enlightenment: An evaluation of its assumptions, attitudes and values (Penguin Books, 1968), p. 95-96.

[3]   J. R. Lucas, The Freedom of the Will (Oxford: Oxford University Press, 1970), p. 105.

[4]   Ibid,, p. 105.

[5]   Cited by Hampson, op. cit., p. 120.

[6]   Carl L Becker, The Heavenly City of the Eighteenth-Century Philosophers (New Haven & London: Yale University Press, 1932), pp. 49-50.

[7]   From the first chapter of Voltaire’s Elements of Newtonian Philosophy, called ‘Of God’, cited by Hampson, op. cit., p. 79.

[8]   This is reflected in Pope’s famous epitaph “Nature, and Nature’s Laws lay hid in Night/God said, Let Newton be! And All was Light.”

[9]   The closest parallel today would be the way some people have a vague (perhaps even unconscious) notion that science has disproved miracles or that evolution establishes atheism. Ask a person exactly how the non-existence of God is proved by evolution, or which scientist disproved miracles in which laboratory, and they hardly know what to say. This is similar to the general assumption in the 18th century that an ordered universe removed the need to believe in the supernatural.

[10]   As I glance over just a few encyclopaedia entries of Diderot, we find the term being used interchangeably to refer to the sexual drive, common experience, an ethical superstructure, the defining characteristics of a thing, whether human physiology or the composition of a plant or the nature of the gods, the source of innate ideas and the sum total of truth - to name but a few.

[11] The Encyclopédie is a kind of paradigm of Enlightenment thought. It consists of seventeen volumes, put together in France under the supervision of Diderot, during the years of 1751 and 1772. This Encyclopédie attempted to catalogue the whole of human knowledge. It was a noble undertaking with its aim to create “a universal and rational dictionary…to bring together the knowledge scattered over the surface of the earth,” as Diderot wrote of it. The Encyclopédie has almost become synonymous with the Enlightenment, for it offered more than what we think of an encyclopaedia offering. Not only did it give the latest facts about everything under the sun, it was full of ‘enlightened’ interpretation. Put another way, it was rather like a massive editorial on all aspects of life. So controversial were many of the viewpoints that the writers were frequently in trouble with the censor. Indeed, Diderot even had to spend some time in prison as a result of his controversial opinions. Nevertheless, the message of the encyclopaedists did get out. Their message was that we should view reality in a whole new way, with man rather than God being the centre. The quotations I am using are taken from extracts of the Encyclopédie from The Enlightenment: Texts, I, edited by Simon Eliot and Keith Whitlock (Milton Keynes: The Open University, 1992).

[12]   Diderot, from the article “Political Authority” in the Encyclopédie, cited in The Enlightenment: Texts I, edited by Simon Eliot and Keith Whitlock Milton Keynes: The Open University, 1992), p. 12.

[13]   Jean-Jacques Rousseau, Emile (Everyman, 1911), p. 228.

[14]   Carl L Becker, The Heavenly City of the Eighteenth-Century Philosophers (New Haven & London: Yale University Press, 1932), p. 66.

[15]   See Hampson, op. cit., p. 123.

[16]   From Voltaire’s Philosophe Ignorant, cited in Hampson, op. cit., p. 114.

[17]   Cited in Lucas, op. cit., p. 114.