<p><SPAN name="link2H_4_0033" id="link2H_4_0033"></SPAN></p>
<h2> SECT. XIII. OF UNPHILOSOPHICAL PROBABILITY. </h2>
<p>All these kinds of probability are received by philosophers, and allowed
to be reasonable foundations of belief and opinion. But there are others,
that are derived from the same principles, though they have not had the
good fortune to obtain the same sanction. The first probability of this
kind may be accounted for thus. The diminution of the union, and of the
resemblance, as above explained, diminishes the facility of the
transition, and by that means weakens the evidence; and we may farther
observe, that the same diminution of the evidence will follow from a
diminution of the impression, and from the shading of those colours, under
which it appears to the memory or senses. The argument, which we found on
any matter of fact we remember, is more or less convincing according as
the fact is recent or remote; and though the difference in these degrees
of evidence be not received by philosophy as solid and legitimate; because
in that case an argument must have a different force to day, from what it
shall have a month hence; yet notwithstanding the opposition of
philosophy, it is certain, this circumstance has a considerable influence
on the understanding, and secretly changes the authority of the same
argument, according to the different times, in which it is proposed to us.
A greater force and vivacity in the impression naturally conveys a greater
to the related idea; and it is on the degrees of force and vivacity, that
the belief depends, according to the foregoing system.</p>
<p>There is a second difference, which we may frequently observe in our
degrees of belief and assurance, and which never fails to take place,
though disclaimed by philosophers. An experiment, that is recent and fresh
in the memory, affects us more than one that is in some measure
obliterated; and has a superior influence on the judgment, as well as on
the passions. A lively impression produces more assurance than a faint
one; because it has more original force to communicate to the related
idea, which thereby acquires a greater force and vivacity. A recent
observation has a like effect; because the custom and transition is there
more entire, and preserves better the original force in the communication.
Thus a drunkard, who has seen his companion die of a debauch, is struck
with that instance for some time, and dreads a like accident for himself:
But as the memory of it decays away by degrees, his former security
returns, and the danger seems less certain and real.</p>
<p>I add, as a third instance of this kind, that though our reasonings from
proofs and from probabilities be considerably different from each other,
yet the former species of reasoning often degenerates insensibly into the
latter, by nothing but the multitude of connected arguments. It is
certain, that when an inference is drawn immediately from an object,
without any intermediate cause or effect, the conviction is much stronger,
and the persuasion more lively, than when the imagination is carryed
through a long chain of connected arguments, however infallible the
connexion of each link may be esteemed. It is from the original
impression, that the vivacity of all the ideas is derived, by means of the
customary transition of the imagination; and it is evident this vivacity
must gradually decay in proportion to the distance, and must lose somewhat
in each transition. Sometimes this distance has a greater influence than
even contrary experiments would have; and a man may receive a more lively
conviction from a probable reasoning, which is close and immediate, than
from a long chain of consequences, though just and conclusive in each
part. Nay it is seldom such reasonings produce any conviction; and one
must have a very strong and firm imagination to preserve the evidence to
the end, where it passes through so many, stages.</p>
<p>But here it may not be amiss to remark a very curious phaenomenon, which
the present subject suggests to us. It is evident there is no point of
ancient history, of which we can have any assurance, but by passing
through many millions of causes and effects, and through a chain of
arguments of almost an immeasurable length. Before the knowledge of the
fact coued come to the first historian, it must be conveyed through many
mouths; and after it is committed to writing, each new copy is a new
object, of which the connexion with the foregoing is known only by
experience and observation. Perhaps, therefore, it may be concluded from
the precedent reasoning, that the evidence of all ancient history must now
be lost; or at least, will be lost in time, as the chain of causes
encreases, and runs on to a greater length. But as it seems contrary to
common sense to think, that if the republic of letters, and the art of
printing continue on the same footing as at present, our posterity, even
after a thousand ages, can ever doubt if there has been such a man as
JULIUS CAESAR; this may be considered as an objection to the present
system. If belief consisted only in a certain vivacity, conveyed from an
original impression, it would decay by the length of the transition, and
must at last be utterly extinguished: And vice versa, if belief on some
occasions be not capable of such an extinction; it must be something
different from that vivacity.</p>
<p>Before I answer this objection I shall observe, that from this topic there
has been borrowed a very celebrated argument against the Christian
Religion; but with this difference, that the connexion betwixt each link
of the chain in human testimony has been there supposed not to go beyond
probability, and to be liable to a degree of doubt and uncertainty. And
indeed it must be confest, that in this manner of considering the subject,
(which however is not a true one) there is no history or tradition, but
what must in the end lose all its force and evidence. Every new
probability diminishes the original conviction; and however great that
conviction may be supposed, it is impossible it can subsist under such
re-iterated diminutions. This is true in general; though we shall find
[Part IV. Sect. 1.] afterwards, that there is one very memorable
exception, which is of vast consequence in the present subject of the
understanding.</p>
<p>Mean while to give a solution of the preceding objection upon the
supposition, that historical evidence amounts at first to an entire proof;
let us consider, that though the links are innumerable, that connect any
original fact with the present impression, which is the foundation of
belief; yet they are all of the same kind, and depend on the fidelity of
Printers and Copyists. One edition passes into another, and that into a
third, and so on, till we come to that volume we peruse at present. There
is no variation in the steps. After we know one we know all of them; and
after we have made one, we can have no scruple as to the rest. This
circumstance alone preserves the evidence of history, and will perpetuate
the memory of the present age to the latest posterity. If all the long
chain of causes and effects, which connect any past event with any volume
of history, were composed of parts different from each other, and which it
were necessary for the mind distinctly to conceive, it is impossible we
should preserve to the end any belief or evidence. But as most of these
proofs are perfectly resembling, the mind runs easily along them, jumps
from one part to another with facility, and forms but a confused and
general notion of each link. By this means a long chain of argument, has
as little effect in diminishing the original vivacity, as a much shorter
would have, if composed of parts, which were different from each other,
and of which each required a distinct consideration.</p>
<p>A fourth unphilosophical species of probability is that derived from
general rules, which we rashly form to ourselves, and which are the source
of what we properly call PREJUDICE. An IRISHMAN cannot have wit, and a
Frenchman cannot have solidity; for which reason, though the conversation
of the former in any instance be visibly very agreeable, and of the latter
very judicious, we have entertained such a prejudice against them, that
they must be dunces or fops in spite of sense and reason. Human nature is
very subject to errors of this kind; and perhaps this nation as much as
any other.</p>
<p>Should it be demanded why men form general rules, and allow them to
influence their judgment, even contrary to present observation and
experience, I should reply, that in my opinion it proceeds from those very
principles, on which all judgments concerning causes and effects depend.
Our judgments concerning cause and effect are derived from habit and
experience; and when we have been accustomed to see one object united to
another, our imagination passes from the first to the second, by a natural
transition, which precedes reflection, and which cannot be prevented by
it. Now it is the nature of custom not only to operate with its full
force, when objects are presented, that are exactly the same with those to
which we have been accustomed; but also to operate in an inferior degree,
when we discover such as are similar; and though the habit loses somewhat
of its force by every difference, yet it is seldom entirely destroyed,
where any considerable circumstances remain the same. A man, who has
contracted a custom of eating fruit by the use of pears or peaches, will
satisfy himself with melons, where he cannot find his favourite fruit; as
one, who has become a drunkard by the use of red wines, will be carried
almost with the same violence to white, if presented to him. From this
principle I have accounted for that species of probability, derived from
analogy, where we transfer our experience in past instances to objects
which are resembling, but are not exactly the same with those concerning
which we have had experience. In proportion as the resemblance decays, the
probability diminishes; but still has some force as long as there remain
any traces of the resemblance.</p>
<p>This observation we may carry farther; and may remark, that though custom
be the foundation of all our judgments, yet sometimes it has an effect on
the imagination in opposition to the judgment, and produces a contrariety
in our sentiments concerning the same object. I explain myself. In almost
all kinds of causes there is a complication of circumstances, of which
some are essential, and others superfluous; some are absolutely requisite
to the production of the effect, and others are only conjoined by
accident. Now we may observe, that when these superfluous circumstances
are numerous, and remarkable, and frequently conjoined with the essential,
they have such an influence on the imagination, that even in the absence
of the latter they carry us on to t-he conception of the usual effect, and
give to that conception a force and vivacity, which make it superior to
the mere fictions of the fancy. We may correct this propensity by a
reflection on the nature of those circumstances: but it is still certain,
that custom takes the start, and gives a biass to the imagination.</p>
<p>To illustrate this by a familiar instance, let us consider the case of a
man, who, being hung out from a high tower in a cage of iron cannot
forbear trembling, when he surveys the precipice below him, though he
knows himself to be perfectly secure from falling, by his experience of
the solidity of the iron, which supports him; and though the ideas of fall
and descent, and harm and death, be derived solely from custom and
experience. The same custom goes beyond the instances, from which it is
derived, and to which it perfectly corresponds; and influences his ideas
of such objects as are in some respect resembling, but fall not precisely
under the same rule. The circumstances of depth and descent strike so
strongly upon him, that their influence can-not be destroyed by the
contrary circumstances of support and solidity, which ought to give him a
perfect security. His imagination runs away with its object, and excites a
passion proportioned to it. That passion returns back upon the imagination
and inlivens the idea; which lively idea has a new influence on the
passion, and in its turn augments its force and violence; and both his
fancy and affections, thus mutually supporting each other, cause the whole
to have a very great influence upon him.</p>
<p>But why need we seek for other instances, while the present subject of
philosophical probabilities offers us so obvious an one, in the opposition
betwixt the judgment and imagination arising from these effects of custom?
According to my system, all reasonings are nothing but the effects of
custom; and custom has no influence, but by inlivening the imagination,
and giving us a strong conception of any object. It may, therefore, be
concluded, that our judgment and imagination can never be contrary, and
that custom cannot operate on the latter faculty after such a manner, as
to render it opposite to the former. This difficulty we can remove after
no other manner, than by supposing the influence of general rules. We
shall afterwards take [Sect. 15.] notice of some general rules, by which
we ought to regulate our judgment concerning causes and effects; and these
rules are formed on the nature of our understanding, and on our experience
of its operations in the judgments we form concerning objects. By them we
learn to distinguish the accidental circumstances from the efficacious
causes; and when we find that an effect can be produced without the
concurrence of any particular circumstance, we conclude that that
circumstance makes not a part of the efficacious cause, however frequently
conjoined with it. But as this frequent conjunction necessity makes it
have some effect on the imagination, in spite of the opposite conclusion
from general rules, the opposition of these two principles produces a
contrariety in our thoughts, and causes us to ascribe the one inference to
our judgment, and the other to our imagination. The general rule is
attributed to our judgment; as being more extensive and constant. The
exception to the imagination, as being more capricious and uncertain.</p>
<p>Thus our general rules are in a manner set in opposition to each other.
When an object appears, that resembles any cause in very considerable
circumstances, the imagination naturally carries us to a lively conception
of the usual effect, Though the object be different in the most material
and most efficacious circumstances from that cause. Here is the first
influence of general rules. But when we take a review of this act of the
mind, and compare it with the more general and authentic operations of the
understanding, we find it to be of an irregular nature, and destructive of
all the most established principles of reasonings; which is the cause of
our rejecting it. This is a second influence of general rules, and implies
the condemnation of the former. Sometimes the one, sometimes the other
prevails, according to the disposition and character of the person. The
vulgar are commonly guided by the first, and wise men by the second. Mean
while the sceptics may here have the pleasure of observing a new and
signal contradiction in our reason, and of seeing all philosophy ready to
be subverted by a principle of human nature, and again saved by a new
direction of the very same principle. The following of general rules is a
very unphilosophical species of probability; and yet it is only by
following them that we can correct this, and all other unphilosophical
probabilities.</p>
<p>Since we have instances, where general rules operate on the imagination
even contrary to the judgment, we need not be surprized to see their
effects encrease, when conjoined with that latter faculty, and to observe
that they bestow on the ideas they present to us a force superior to what
attends any other. Every one knows, there is an indirect manner of
insinuating praise or blame, which is much less shocking than the open
flattery or censure of any person. However he may communicate his
sentiments by such secret insinuations, and make them known with equal
certainty as by the open discovery of them, it is certain that their
influence is not equally strong and powerful. One who lashes me with
concealed strokes of satire, moves not my indignation to such a degree, as
if he flatly told me I was a fool and coxcomb; though I equally understand
his meaning, as if he did. This difference is to be attributed to the
influence of general rules.</p>
<p>Whether a person openly, abuses me, or slyly intimates his contempt, in
neither case do I immediately perceive his sentiment or opinion; and it is
only by signs, that is, by its effects, I become sensible of it. The only
difference, then, betwixt these two cases consists in this, that in the
open discovery of his sentiments he makes use of signs, which are general
and universal; and in the secret intimation employs such as are more
singular and uncommon. The effect of this circumstance is, that the
imagination, in running from the present impression to the absent idea,
makes the transition with greater facility, and consequently conceives the
object with greater force, where the connexion is common and universal,
than where it is more rare and particular. Accordingly we may observe,
that the open declaration of our sentiments is called the taking off the
mask, as the secret intimation of our opinions is said to be the veiling
of them. The difference betwixt an idea produced by a general connexion,
and that arising from a particular one is here compared to the difference
betwixt an impression and an idea. This difference in the imagination has
a suitable effect on the passions; and this effect is augmented by another
circumstance. A secret intimation of anger or contempt shews that we still
have some consideration for the person, and avoid the directly abusing
him. This makes a concealed satire less disagreeable; but still this
depends on the same principle. For if an idea were not more feeble, when
only intimated, it would never be esteemed a mark of greater respect to
proceed in this method than in the other.</p>
<p>Sometimes scurrility is less displeasing than delicate satire, because it
revenges us in a manner for the injury at the very time it is committed,
by affording us a just reason to blame and contemn the person, who injures
us. But this phaenomenon likewise depends upon the same principle. For why
do we blame all gross and injurious language, unless it be, because we
esteem it contrary to good breeding and humanity? And why is it contrary,
unless it be more shocking than any delicate satire? The rules of good
breeding condemn whatever is openly disobliging, and gives a sensible pain
and confusion to those, with whom we converse. After this is once
established, abusive language is universally blamed, and gives less pain
upon account of its coarseness and incivility, which render the person
despicable, that employs it. It becomes less disagreeable, merely because
originally it is more so; and it is more disagreeable, because it affords
an inference by general and common rules, that are palpable and
undeniable.</p>
<p>To this explication of the different influence of open and concealed
flattery or satire, I shall add the consideration of another phenomenon,
which is analogous to it. There are many particulars in the point of
honour both of men and women, whose violations, when open and avowed, the
world never excuses, but which it is more apt to overlook, when the
appearances are saved, and the transgression is secret and concealed. Even
those, who know with equal certainty, that the fault is committed, pardon
it more easily, when the proofs seem in some measure oblique and
equivocal, than when they are direct and undeniable. The same idea is
presented in both cases, and, properly speaking, is equally assented to by
the judgment; and yet its influence is different, because of the different
manner, in which it is presented.</p>
<p>Now if we compare these two cases, of the open and concealed violations of
the laws of honour, we shall find, that the difference betwixt them
consists in this, that in the first ease the sign, from which we infer the
blameable action, is single, and suffices alone to be the foundation of
our reasoning and judgment; whereas in the latter the signs are numerous,
and decide little or nothing when alone and unaccompanyed with many minute
circumstances, which are almost imperceptible. But it is certainly true,
that any reasoning is always the more convincing, the more single and
united it is to the eye, and the less exercise it gives to the imagination
to collect all its parts, and run from them to the correlative idea, which
forms the conclusion. The labour of the thought disturbs the regular
progress of the sentiments, as we shall observe presently.[Part IV. Sect.
1.] The idea strikes not on us with ouch vivacity; and consequently has no
such influence on the passion and imagination.</p>
<p>From the same principles we may account for those observations of the
CARDINAL DE RETZ, that there are many things, in which the world wishes to
be deceived; and that it more easily excuses a person in acting than in
talking contrary to the decorum of his profession and character. A fault
in words is commonly more open and distinct than one in actions, which
admit of many palliating excuses, and decide not so clearly concerning the
intention and views of the actor.</p>
<p>Thus it appears upon the whole, that every kind of opinion or judgment,
which amounts not to knowledge, is derived entirely from the force and
vivacity of the perception, and that these qualities constitute in the
mind, what we call the BELIEF Of the existence of any object. This force
and this vivacity are most conspicuous in the memory; and therefore our
confidence in the veracity of that faculty is the greatest imaginable, and
equals in many respects the assurance of a demonstration. The next degree
of these qualities is that derived from the relation of cause and effect;
and this too is very great, especially when the conjunction is found by
experience to be perfectly constant, and when the object, which is present
to us, exactly resembles those, of which we have had experience. But below
this degree of evidence there are many others, which have an influence on
the passions and imagination, proportioned to that degree of force and
vivacity, which they communicate to the ideas. It is by habit we make the
transition from cause to effect; and it is from some present impression we
borrow that vivacity, which we diffuse over the correlative idea. But when
we have not observed a sufficient number of instances, to produce a strong
habit; or when these instances are contrary to each other; or when the
resemblance is not exact; or the present impression is faint and obscure;
or the experience in some measure obliterated from the memory; or the
connexion dependent on a long chain of objects; or the inference derived
from general rules, and yet not conformable to them: In all these cases
the evidence diminishes by the diminution of the force and intenseness of
the idea. This therefore is the nature of the judgment and probability.</p>
<p>What principally gives authority to this system is, beside the undoubted
arguments, upon which each part is founded, the agreement of these parts,
and the necessity of one to explain another. The belief, which attends our
memory, is of the same nature with that, which is derived from our
judgments: Nor is there any difference betwixt that judgment, which is
derived from a constant and uniform connexion of causes and effects, and
that which depends upon an interrupted and uncertain. It is indeed
evident, that in all determinations, where the mind decides from contrary
experiments, it is first divided within itself, and has an inclination to
either side in proportion to the number of experiments we have seen and
remember. This contest is at last determined to the advantage of that
side, where we observe a superior number of these experiments; but still
with a diminution of force in the evidence correspondent to the number of
the opposite experiments. Each possibility, of which the probability is
composed, operates separately upon the imagination; and it is the larger
collection of possibilities, which at last prevails, and that with a force
proportionable to its superiority. All these phenomena lead directly to
the precedent system; nor will it ever be possible upon any other
principles to give a satisfactory and consistent explication of them.
Without considering these judgments as the effects of custom on the
imagination, we shall lose ourselves in perpetual contradiction and
absurdity.</p>
<div style="break-after:column;"></div><br />