| 
     Three on Cartesian Dualism 
    (Descartes, Arnauld, Locke) 
      
    NNNNN 
    Discourse on the Method of
    Rightly Conducting the Reason, and Seeking Truth in the Sciences 
    Rene Descartes 
    From CHAPTER V 
    … I had expounded all these matters with sufficient minuteness
    in the treatise which I formerly thought of publishing. And after these, I
    had shown what must be the fabric of the nerves and muscles of the human
    body to give the animal spirits contained in it the power to move the
    members, as when we see heads shortly after they have been struck off still
    move and bite the earth, although no longer animated; what changes must
    take place in the brain to produce waking, sleep, and dreams; how light,
    sounds, odors, tastes, heat, and all the other qualities of external
    objects impress it with different ideas by means of the senses; how hunger,
    thirst, and the other internal affections can likewise impress upon it
    divers ideas; what must be understood by the common sense (sensus communis) in which
    these ideas are received, by the memory which retains them, by the fantasy
    which can change them in various ways, and out of them compose new ideas,
    and which, by the same means, distributing the animal spirits through the
    muscles, can cause the members of such a body to move in as many different
    ways, and in a manner as suited, whether to the objects that are presented
    to its senses or to its internal affections, as can take place in our own
    case apart from the guidance of the will. Nor will this appear at all
    strange to those who are acquainted with the variety of movements performed
    by the different automata, or moving machines fabricated by human industry,
    and that with help of but few pieces compared with the great multitude of
    bones, muscles, nerves, arteries, veins, and other parts that are found in the
    body of each animal. Such persons will look upon this body as a machine
    made by the hands of God, which is incomparably better arranged, and
    adequate to movements more admirable than is any machine of human
    invention.  
    And here I specially stayed to show that, were there such
    machines exactly resembling organs and outward form an ape or any other
    irrational animal, we could have no means of knowing that they were in any
    respect of a different nature from these animals; but if there were
    machines bearing the image of our bodies, and capable of imitating our
    actions as far as it is morally possible, there would still remain two most
    certain tests whereby to know that they were not therefore really men. Of
    these the first is that they could never use words or other signs arranged
    in such a manner as is competent to us in order to declare our thoughts to
    others: for we may easily conceive a machine to be so constructed that it
    emits vocables, and even that it emits some
    correspondent to the action upon it of external objects which cause a
    change in its organs; for example, if touched in a particular place it may
    demand what we wish to say to it; if in another it may cry out that it is
    hurt, and such like; but not that it should arrange them variously so as appositely
    to reply to what is said in its presence, as men of the lowest grade of
    intellect can do. The second test is, that although such machines might
    execute many things with equal or perhaps greater perfection than any of
    us, they would, without doubt, fail in certain others from which it could
    be discovered that they did not act from knowledge, but solely from the
    disposition of their organs: for while reason is an universal instrument
    that is alike available on every occasion, these organs, on the contrary,
    need a particular arrangement for each particular action; whence it must be
    morally impossible that there should exist in any machine a diversity of
    organs sufficient to enable it to act in all the occurrences of life, in
    the way in which our reason enables us to act. Again, by means of these two
    tests we may likewise know the difference between men and brutes. For it is
    highly deserving of remark, that there are no men so dull and stupid, not
    even idiots, as to be incapable of joining together different words, and
    thereby constructing a declaration by which to make their thoughts
    understood; and that on the other hand, there is no other animal, however
    perfect or happily circumstanced, which can do the like. Nor does this
    inability arise from want of organs: for we observe that magpies and
    parrots can utter words like ourselves, and are yet unable to speak as we
    do, that is, so as to show that they understand what they say; in place of
    which men born deaf and dumb, and thus not less, but rather more than the
    brutes, destitute of the organs which others use in speaking, are in the
    habit of spontaneously inventing certain signs by which they discover their
    thoughts to those who, being usually in their company, have leisure to
    learn their language. And this proves not only that the brutes have less
    reason than man, but that they have none at all: for we see that very
    little is required to enable a person to speak; and since a certain
    inequality of capacity is observable among animals of the same species, as
    well as among men, and since some are more capable of being instructed than
    others, it is incredible that the most perfect ape or parrot of its
    species, should not in this be equal to the most stupid infant of its kind
    or at least to one that was crack-brained, unless the soul of brutes were
    of a nature wholly different from ours. And we ought not to confound speech
    with the natural movements which indicate the passions, and can be imitated
    by machines as well as manifested by animals; nor must it be thought with
    certain of the ancients, that the brutes speak, although we do not
    understand their language. For if such were the case, since they are
    endowed with many organs analogous to ours, they could as easily
    communicate their thoughts to us as to their fellows. It is also very
    worthy of remark, that, though there are many animals which manifest more
    industry than we in certain of their actions, the same animals are yet
    observed to show none at all in many others: so that the circumstance that
    they do better than we does not prove that they are endowed with mind, for
    it would thence follow that they possessed greater reason than any of us,
    and could surpass us in all things; on the contrary, it rather proves that
    they are destitute of reason, and that it is nature which acts in them
    according to the disposition of their organs: thus it is seen, that a clock
    composed only of wheels and weights can number the hours and measure time
    more exactly than we with all our skin.  
    I had after this described the reasonable soul, and shown that
    it could by no means be educed from the power of matter, as the other
    things of which I had spoken, but that it must be expressly created; and
    that it is not sufficient that it be lodged in the human body exactly like
    a pilot in a ship, unless perhaps to move its members, but that it is
    necessary for it to be joined and united more closely to the body, in order
    to have sensations and appetites similar to ours, and thus constitute a
    real man. I here entered, in conclusion, upon the subject of the soul at
    considerable length, because it is of the greatest moment: for after the
    error of those who deny the existence of God, an error which I think I have
    already sufficiently refuted, there is none that is more powerful in
    leading feeble minds astray from the straight path of virtue than the
    supposition that the soul of the brutes is of the same nature with our own;
    and consequently that after this life we have nothing to hope for or fear,
    more than flies and ants; in place of which, when we know how far they
    differ we much better comprehend the reasons which establish that the soul
    is of a nature wholly independent of the body, and that consequently it is
    not liable to die with the latter and, finally, because no other causes are
    observed capable of destroying it, we are naturally led thence to judge
    that it is immortal. 
    NNNNN 
    From Objections to
    Descartes’ Meditations 
    Objection IV (Antoine Arnauld): 
    This
    is certainly very acute. But someone is going to bring up the objection
    which the author raises against himself: the fact that I have doubts about
    the body, or deny that it exists, does not bring it about that no body
    exists. 'Yet may it not perhaps be the case that these very things which I
    am supposing to be nothing, because they are unknown to me, are in reality
    identical with the "I" of which I am aware? I do not know,' he
    says 'and for the moment I shall not argue the point. I know that I exist;
    the question is, what is this "I" that I know? If the
    "I" is understood strictly as we have been taking it, then it is
    quite certain that knowledge of it does not depend on things of whose
    existence I am as yet unaware.' 
                But the author admits that in
    the argument set out in the Discourse on the Method the proof excluding
    anything corporeal from the nature of the mind was not put forward 'in an
    order corresponding to the actual truth of the matter' but merely in an
    order corresponding to his 'own perception'. So the sense of the passage
    was that he was aware of nothing at all which he knew belonged to his
    essence except that he was a thinking thing. From this answer it is clear
    that the objection still stands in precisely the same form as it did
    before, and that the question he promised to answer still remains
    outstanding: How does it follow, from the fact that he is aware of nothing
    else belonging to his essence, that nothing else
    does in fact belong to it? I must confess that I am somewhat slow, but I
    have been unable to find anywhere in the Second Meditation an answer to
    this question. As far as I can gather, however, the author does attempt a
    proof of this claim in the Sixth Meditation, since he takes it to depend on
    his having clear knowledge of God, which he had not yet arrived at in the
    Second Meditation. . . .  
         Suppose someone knows for
    certain that the angle in a semi-circle is a right angle, and hence that
    the triangle formed by this angle and the diameter of the circle is
    right-angled. In spite of this, he may doubt, or not yet have grasped for
    certain, that the square on the hypotenuse is equal to the squares on the
    other two sides; indeed he may even deny this if he is misled by some
    fallacy. But now, if he uses the same argument as that proposed by our
    illustrious author, he may appear to have confirmation of his false belief,
    as follows: 'I clearly and distinctly perceive', he may say, 'that the
    triangle is right-angled; but I doubt that the square on the hypotenuse is
    equal to the squares on the other two sides; therefore it does not belong
    to the essence of the triangle that the square on its hypotenuse is equal
    to the squares on the other sides.' 
    Descartes’ Reply to Arnauld 
    But
    I will begin by pointing out where it was that I embarked on proving 'how,
    from the fact that I am aware of nothing else belonging to my essence (that
    is, the essence of the mind alone) apart from the fact that I am a thinking
    thing, it follows that nothing else does in fact belong to it'. The
    relevant passage is the one where I proved that God exists - a God who can
    bring about everything that I clearly and distinctly recognize as possible. 
                Now it may be that there is much
    within me of which I am not yet aware (for example, in this passage I was
    in fact supposing that I was not yet aware that the mind possessed the
    power of moving the body, or that it was substantially united to it). Yet
    since that of which I am aware is sufficient to enable me to subsist with
    it and it alone, I am certain that I could have been created by God without
    having these other attributes of which I am unaware, and hence that these
    other attributes do not belong to the essence of the mind. 
                For if something can exist
    without some attribute, then it seems to me that
    that attribute is not included in its essence. And although mind is part of
    the essence of man, being united to a human body is not strictly speaking
    part of the essence of mind. 
                I must also explain what I meant
    by saying that 'a real distinction cannot be inferred from the fact that
    one thing is conceived apart from another by an abstraction of the
    intellect which conceives the thing inadequately. It can be inferred only
    if we understand one thing apart from another completely, or as a complete
    thing.' 
                I do not, as M. Arnauld assumes, think that adequate knowledge of a
    thing is required here. Indeed, the difference between complete and
    adequate knowledge is that if a piece of knowledge is to be adequate it
    must contain absolutely all the properties which are in the thing which is
    the object of knowledge. Hence only God can know that he has adequate knowledge
    of all things. 
                A created intellect, by
    contrast, though perhaps it may in fact possess adequate knowledge of many
    things, can never know it has such knowledge unless God grants it a special
    revelation of the fact. In order to have adequate knowledge of a thing all
    that is required is that the power of knowing possessed by the intellect is
    adequate for the thing in question, and this can easily occur. But in order
    for the intellect to know it has such knowledge, or that God put nothing in
    the thing beyond what it is aware of, its power of knowing would have to
    equal the infinite power of God, and this plainly could not happen on pain
    of contradiction. 
                Now in order for us to recognize
    a real distinction between two things it cannot be required that our
    knowledge of them be adequate if it is impossible for us to know that it is
    adequate. And since, as has just been explained, we can never know this, it
    follows that it is not necessary for our knowledge to be adequate. 
                Hence when I said that 'it does
    not suffice for a real distinction that one thing is understood apart from
    another by an abstraction of the intellect which conceives the thing
    inadequately', I did not think this would be taken to imply that adequate
    knowledge was required to establish a real distinction. All I meant was
    that we need the sort of knowledge that we have not ourselves made
    inadequate by an abstraction of the intellect. 
                There is a great difference
    between, on the one hand, some item of knowledge being wholly adequate,
    which we can never know with certainty to be the case unless it is revealed
    by God, and, on the other hand, its being adequate enough to enable us to
    perceive that we have not rendered it inadequate by an abstraction of the intellect. 
                In the same way, when I said
    that a thing must be understood completely, I did not mean that my
    understanding must be adequate, but merely that I must understand the thing
    well enough to know that my understanding is complete. 
                I thought I had made this clear
    from what I had said just before and just after the passage in question.
    For a little earlier I had distinguished between 'incomplete' and
    'complete' entities, and I had said that for there to be a real distinction
    between a number of things, each of them must be understood as 'an entity
    in its own right which is different from everything else'. 
                And later on, after saying that
    I had 'a complete understanding of what a body is', I immediately added
    that I also 'understood the mind to be a complete thing'. The meaning of
    these two phrases was identical; that is, I took 'a complete understanding
    of something' and 'understanding something to be a complete thing' as
    having one and the same meaning. 
                But here you may justly ask what
    I mean by a 'complete thing', and how I prove that for establishing a real
    distinction it is sufficient that two things can be understood as
    'complete' and that each one can be understood apart from the other. 
                My answer to the first question
    is that by a 'complete thing' I simply mean a substance endowed with the
    forms or attributes which enable me to recognize that it is a substance. 
                We do not have immediate
    knowledge of substances, as I have noted elsewhere. We know them only by
    perceiving certain forms or attributes which must inhere in something if
    they are to exist; and we call the thing in which they inhere
    a 'substance'. 
                But if we subsequently wanted to
    strip the substance of the attributes through which we know it, we would be
    destroying our entire knowledge of it. We might be able to apply various
    words to it, but we could not have a clear and distinct perception of what
    we meant by these words. 
                I am aware that certain substances
    are commonly called 'incomplete'. But if the reason for calling them
    incomplete is that they are unable to exist on their own, then I confess I
    find it self-contradictory that they should be substances, that is, things
    which subsist on their own, and at the same time incomplete, that is, not
    possessing the power to subsist on their own. It is also possible to call a
    substance incomplete in the sense that, although it has nothing incomplete
    about it qua substance, it is incomplete in so far as it is referred to
    some other substance in conjunction with which it forms something which is
    a unity in its own right. 
                Thus a hand is an incomplete
    substance when it is referred to the whole body of which it is a part; but
    it is a complete substance when it is considered on its own. And in just
    the same way the mind and the body are incomplete substances when they are
    referred to a human being which together they make up. But if they are
    considered on their own, they are complete. 
                For just as being extended and
    divisible and having shape etc. are forms or attributes by which I
    recognize the substance called body, so understanding, willing, doubting
    etc. are forms by which I recognize the substance which is called mind. And
    I understand a thinking substance to be just as much a complete thing as an
    extended substance. 
    NNNNN 
    THE PRINCIPLES
    OF PHILOSOPHY 
    RENE DESCARTES 
    From
    PART I.
    -- OF THE PRINCIPLES OF HUMAN KNOWLEDGE. 
    LI.
    What substance is, and that the term
    is not applicable to God and the creatures in the same sense. 
    But
    with regard to what we consider as things or the modes of things, it is
    worth while to examine each of them by itself. By substance we can conceive
    nothing else than a thing which exists in such a way as to stand in need of
    nothing beyond itself in order to its existence. And, in truth, there can
    be conceived but one substance which is absolutely independent, and that is
    God. We perceive that all other things can exist only by help of the concourse
    of God. And, accordingly, the term substance does not apply to God and the
    creatures UNIVOCALLY, to adopt a term familiar in the schools; that is, no
    signification of this word can be distinctly understood which is common to
    God and them. 
    LIII.
    That of every substance there is one
    principal attribute, as thinking of the mind, extension of the body. 
    But,
    although any attribute is sufficient to lead us to the knowledge of
    substance, there is, however, one principal property of every substance,
    which constitutes its nature or essence, and upon which all the others
    depend. Thus, extension in length, breadth, and depth, constitutes the
    nature of corporeal substance; and thought the nature of thinking
    substance. For every other thing that can be attributed to body,
    presupposes extension, and is only some mode of an extended thing; as all
    the properties we discover in the mind are only diverse modes of thinking.
    Thus, for example, we cannot conceive figure unless in something extended,
    nor motion unless in extended space, nor imagination, sensation, or will,
    unless in a thinking thing. But, on the other hand, we can conceive
    extension without figure or motion, and thought without imagination or
    sensation, and so of the others; as is clear to any one who attends to
    these matters. 
      
    NNNNN 
    ESSAY
    CONCERNING HUMAN UNDERSTANDING 
    John Locke 
    Book
    IV, from Chapter III “Of the Extent of Human Knowledge” 
    1.
    Extent of our knowledge. Knowledge,
    as has been said, lying in the perception of the agreement or disagreement
    of any of our ideas, it follows from hence That,  
    It
    extends no further than we have ideas. First, we can have knowledge no
    further than we have ideas.  
    2.
    It extends no further than we can
    perceive their agreement or disagreement. Secondly, That we can
    have no knowledge further than we can have perception of that agreement or
    disagreement. Which perception being: 1. Either by intuition, or the
    immediate comparing any two ideas; or, 2. By reason, examining the
    agreement or disagreement of two ideas, by the intervention of some others;
    or, 3. By sensation, perceiving the existence of particular things: hence
    it also follows:  
    3.
    Intuitive knowledge extends itself
    not to all the relations of all our ideas. Thirdly, That we
    cannot have an intuitive knowledge that shall extend itself to all our
    ideas, and all that we would know about them; because we cannot examine and
    perceive all the relations they have one to another, by juxta-position,
    or an immediate comparison one with another. Thus, having the ideas of an
    obtuse and an acute angled triangle, both drawn from equal bases, and
    between parallels, I can, by intuitive knowledge, perceive the one not to
    be the other, but cannot that way know whether they be equal or no; because
    their agreement or disagreement in equality can never be perceived by an
    immediate comparing them: the difference of figure makes their parts
    incapable of an exact immediate application; and therefore there is need of
    some intervening qualities to measure them by, which is demonstration, or
    rational knowledge.  
    4.
    Nor does demonstrative knowledge. Fourthly,
    It follows, also, from what is above observed, that our rational knowledge
    cannot reach to the whole extent of our ideas: because between two
    different ideas we would examine, we cannot always find such mediums as we
    can connect one to another with an intuitive knowledge in all the parts of
    the deduction; and wherever that fails, we come short of knowledge and
    demonstration.  
    5.
    Sensitive knowledge narrower than
    either. Fifthly, Sensitive knowledge reaching no further than
    the existence of things actually present to our senses,
    is yet much narrower than either of the former.  
    6.
    Our knowledge, therefore, narrower
    than our ideas. Sixthly, From all which it is evident, that the
    extent of our knowledge comes not only short of the reality of things, but
    even of the extent of our own ideas. Though our knowledge be limited to our
    ideas, and cannot exceed them either in extent or perfection; and though
    these be very narrow bounds, in respect of the extent of All-being, and far
    short of what we may justly imagine to be in some even created
    understandings, not tied down to the dull and narrow information that is to
    be received from some few, and not very acute, ways of perception, such as
    are our senses; yet it would be well with us if our knowledge were but as
    large as our ideas, and there were not many doubts and inquiries concerning
    the ideas we have, whereof we are not, nor I believe ever shall be in this
    world resolved. Nevertheless I do not question but that human knowledge,
    under the present circumstances of our beings and constitutions, may be
    carried much further than it has hitherto been, if men would sincerely, and
    with freedom of mind, employ all that industry and labour
    of thought, in improving the means of discovering truth, which they do for
    the colouring or support of falsehood, to
    maintain a system, interest, or party they are once engaged in. But yet
    after all, I think I may, without injury to human perfection, be confident,
    that our knowledge would never reach to all we might desire to know
    concerning those ideas we have; nor be able to surmount all the
    difficulties, and resolve all the questions that might arise concerning any
    of them. We have the ideas of a square, a circle, and equality; and yet,
    perhaps, shall never be able to find a circle equal to a square, and
    certainly know that it is so. We have the ideas of matter and thinking, but
    possibly shall never be able to know whether any mere material being thinks
    or no; it being impossible for us, by the contemplation of our own ideas,
    without revelation, to discover whether Omnipotency
    has not given to some systems of matter, fitly disposed, a power to
    perceive and think, or else joined and fixed to matter, so disposed, a
    thinking immaterial substance: it being, in respect of our notions, not
    much more remote from our comprehension to conceive that GOD can, if he
    pleases, superadd to matter a faculty of
    thinking, than that he should superadd to it
    another substance with a faculty of thinking; since we know not wherein
    thinking consists, nor to what sort of substances the Almighty has been
    pleased to give that power, which cannot be in any created being, but
    merely by the good pleasure and bounty of the Creator.  
    Whether
    Matter may not be made by God to think is more than man can know. For I see
    no contradiction in it, that the first Eternal thinking Being, or
    Omnipotent Spirit, should, if he pleased, give to certain systems of
    created senseless matter, put together as he thinks fit, some degrees of
    sense, perception, and thought: though, as I think I have proved, Bk. iv. ch. 10, SS 14, &c., it is no less than a contradiction
    to suppose matter (which is evidently in its own nature void of sense and
    thought) should be that Eternal first-thinking Being. What certainty of
    knowledge can any one have, that some perceptions, such as, v.g., pleasure and pain, should not be in some bodies
    themselves, after a certain manner modified and moved, as well as that they
    should be in an immaterial substance, upon the motion of the parts of body:
    Body, as far as we can conceive, being able only to strike and affect body,
    and motion, according to the utmost reach of our ideas, being able to
    produce nothing but motion; so that when we allow it to produce pleasure or
    pain, or the idea of a colour or sound, we are
    fain to quit our reason, go beyond our ideas, and attribute it wholly to
    the good pleasure of our Maker. For, since we must allow He has annexed
    effects to motion which we can no way conceive motion able to produce, what
    reason have we to conclude that He could not order them as well to be
    produced in a subject we cannot conceive capable of them, as well as in a
    subject we cannot conceive the motion of matter can any way operate upon? I
    say not this, that I would any way lessen the belief of the soul's
    immateriality: I am not here speaking of probability, but knowledge; and I
    think not only that it becomes the modesty of philosophy not to pronounce
    magisterially, where we want that evidence that can produce knowledge; but
    also, that it is of use to us to discern how far our knowledge does reach;
    for the state we are at present in, not being that of vision, we must in
    many things content ourselves with faith and probability: and in the
    present question, about the Immateriality of the Soul, if our faculties
    cannot arrive at demonstrative certainty, we need not think it strange. All
    the great ends of morality and religion are well enough secured, without
    philosophical proofs of the soul's immateriality; since it is evident, that
    he who made us at the beginning to subsist here, sensible intelligent
    beings, and for several years continued us in such a state, can and will
    restore us to the like state of sensibility in another world, and make us
    capable there to receive the retribution he has designed to men, according
    to their doings in this life. And therefore it is not of such mighty
    necessity to determine one way or the other, as some, over-zealous for or
    against the immateriality of the soul, have been
    forward to make the world believe. Who, either on the one side, indulging
    too much their thoughts immersed altogether in matter, can allow no existence
    to what is not material: or who, on the other side, finding not cogitation
    within the natural powers of matter, examined over and over again by the
    utmost intention of mind, have the confidence to conclude- That Omnipotency itself cannot give perception and thought
    to a substance which has the modification of solidity. He that considers
    how hardly sensation is, in our thoughts, reconcilable to extended matter;
    or existence to anything that has no extension at all, will confess that he
    is very far from certainly knowing what his soul is. It is a point which
    seems to me to be put out of the reach of our knowledge: and he who will
    give himself leave to consider freely, and look into the dark and intricate
    part of each hypothesis, will scarce find his reason able to determine him
    fixedly for or against the soul's materiality. Since, on which side soever he views it, either as an unextended
    substance, or as a thinking extended matter, the difficulty to conceive
    either will, whilst either alone is in his thoughts, still drive him to the
    contrary side. An unfair way which some men take with themselves: who,
    because of the inconceivableness of something they find in one, throw
    themselves violently into the contrary hypothesis, though altogether as
    unintelligible to an unbiassed understanding.
    This serves not only to show the weakness and the scantiness of our
    knowledge, but the insignificant triumph of such sort of arguments; which,
    drawn from our own views, may satisfy us that we can find no certainty on
    one side of the question: but do not at all thereby help us to truth by
    running into the opposite opinion; which, on examination, will be found
    clogged with equal difficulties. For what safety, what advantage to any one
    is it, for the avoiding the seeming absurdities, and to him unsurmountable rubs, he meets with in one opinion, to
    take refuge in the contrary, which is built on something altogether as
    inexplicable, and as far remote from his comprehension? It is past
    controversy, that we have in us something that thinks; our very doubts
    about what it is, confirm the certainty of its being, though we must
    content ourselves in the ignorance of what kind of being it is: and it is
    in vain to go about to be sceptical in this, as
    it is unreasonable in most other cases to be positive against the being of
    anything, because we cannot comprehend its nature. For I would fain know
    what substance exists, that has not something in it which manifestly
    baffles our understandings. Other spirits, who see and know the nature and
    inward constitution of things, how much must they exceed us in knowledge?
    To which, if we add larger comprehension, which enables them at one glance
    to see the connexion and agreement of very many
    ideas, and readily supplies to them the intermediate proofs, which we by
    single and slow steps, and long poring in the dark, hardly at last find
    out, and are often ready to forget one before we have hunted out another;
    we may guess at some part of the happiness of superior ranks of spirits,
    who have a quicker and more penetrating sight, as well as a larger field of
    knowledge.  
    But
    to return to the argument in hand: our knowledge, I say,
    is not only limited to the paucity and imperfections of the ideas we have,
    and which we employ it about, but even comes short of that too: but how far
    it reaches, let us now inquire.  
     … 
     |