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Little
Errors in the Beginning
by Mortimer J. Adler, Ph.D.
I.
In his introduction to De Ente et
Essentia St. Thomas Aquinas remarks that "a
little error in the beginning leads to a great one
in the end." He is here rephrasing an observation
made by Aristotle in De Caelo, I, 5: "The
least initial deviation from the truth is
multiplied later a thousandfold."
The insight thus expressed is applicable to
mathematics and the experimental sciences and, in
fact, to all human enterprises as well as to
philosophy, but I am going to concentrate upon its
significance for philosophy. I am also going to try
to show that many of the problems characteristic of
modern philosophical thought have resulted from the
failure to correct little errors in the
beginning.
Methodologically, the rule would appear to be a
simple one to follow. When you disagree with a
philosopher's conclusions, regard them as
untenable, or find them repugnant to common sense,
go back to his starting point and see if he has
made a little error in the beginning. A striking
example of the failure to follow this rule, and one
with disastrous consequences for philosophy in the
last 150 years, is to be found in Kant's response
to Hume. Hume's skeptical conclusions and Hume's
phenomenalism were unacceptable to Kant, even
though they awoke him from his own dogmatic
slumbers. But instead of looking for the little
errors in the beginning that were made by Hume and
dismissing, as unfounded, the Humean doctrines and
conclusions that he found unacceptable, Kant felt
it necessary to construct a vast piece of
philosophical machinery, designed by him to produce
conclusions of an opposite tenor.
The intricacy of the apparatus and the ingenuity
of the design cannot help but evoke admiration,
even from those who are suspicious of the sanity of
the whole enterprise and who find it necessary to
reject Kant's doctrines and conclusions as well as
Hume's. Though they are opposite in tenor, they do
not help us to get at the truth, which can only be
found by correcting Hume's little errors in the
beginning and making a fresh start from correct
premises that lead to conclusions that are neither
Hume's nor Kant's.
What I have just said about Kant in relation to
Hume applies also to the whole tradition of British
empirical philosophy following Locke and Hume. All
of the philosophical puzzlements, paradoxes, and
pseudo-problems that linguistic and analytical
philosophy and therapeutic positivism have tried to
eliminate, by the invention of philosophical
devices designed for that purpose, would never have
arisen in the first place if the little errors in
the beginning made by Locke and Hume had been
explicitly rejected instead of going unnoticed.
I will presently comment on these particular
errors as well as discuss some others. But, first,
I would like to call attention to the two ways in
which little errors in the beginning occur. In some
cases, they are made because something that needs
to be known or understood has not yet been
discovered or learned. Such mistakes are, of
course, excusable, however regrettable they may be.
In other cases, the errors are made as a result of
culpable ignorance -- ignorance of an essential
point, an insight or distinction, that has already
been discovered and expounded.
It is mainly in this second way that modern
philosophers have made their little errors in the
beginning. When they are made in this way and then
perpetuated by the same ignorance that accounts for
their origin, they are ugly monuments to failures
in education -- failures that have one or both of
the following sources: on the one hand, corruptions
in the tradition of learning, like the corrupt and
decadent scholasticism of the 15th and 16th
centuries, the effects of which are so evident in
the writings of Descartes, Hobbes, and
Locke;[1] on the other hand, an attitude of
antagonism toward or even contempt for the past --
for the achievements of those who have come
before.
Both of these causes are operative today.
Contemporary philosophers are, for the most part,
vastly ignorant of the great works in the
philosophical tradition prior to the 17th century.
Many students of philosophy in our universities,
graduate as well as undergraduate, spend most, if
not all, of their time, reading books and
periodical articles written in this century, for
the most part limited to the last forty or fifty
years. They may have to pass examinations in the
history of philosophy, but this seldom requires
them to make a thorough study of the texts of even
17th and 18th century writers, much less anything
earlier than that. How, then, can we expect a
correction of the little errors in the beginning
that have beset the whole of modern philosophy,
especially those errors which have resulted from an
ignorance of insights and distinctions that were
once known and expounded but which are no longer
taught and cannot be learned by the reading of
modern or contemporary works?
II.
Within the compass of this short essay, I cannot
do more than indicate some of these little errors
and comment briefly on their consequences. Such an
abbreviated treatment may give the impression that
the story of modern philosophy is nothing but the
story of these errors and their consequences. To
forestall that impression, I would like to call
attention to the fact that in my book, The
Conditions of Philosophy, and elsewhere
in my writings, I have noted that ancient and
mediaeval philosophy had their share of little
errors, and that modern philosophy has advanced in
important ways beyond ancient and mediaeval
thought.[2] However, in the premodern
periods of philosophy, respect rather than contempt
for one's predecessors was the order of the day;
hence errors of the culpable sort -- the sort I am
mainly concerned with in this essay -- characterize
modern thought to an extent unparalleled in earlier
periods.
In this section, I am going to deal, first, with
errors in logic and in the theory of knowledge and
of truth; and then, second, with errors in
practical philosophy -- in ethics and politics.
These matters I have treated at length in The
Conditions of Philosophy, [3] The
Time of Our Lives, [4] and
The Common Sense of Politics. [5] In
Section III to follow, I am going to deal somewhat
more extensively with an error that work in
progress at the Institute for Philosophical
Research has convinced me can be regarded, in terms
of its effect on modern thought, as the single most
disastrous error; and I will also touch on a number
of other errors closely connected with this basic
error in the psychology of cognition.
1. Leibniz and Locke laid the groundwork for
Kant's famous distinction between analytic and
synthetic judgments. According to Locke,
propositions are either trifling or instructive.
They are trifling -- mere tautologies -- either
when they state identities (e.g., "a law is a law,"
or "right is right and wrong is wrong") or when the
predicate is contained in the meaning of the
subject as that is defined (e.g., "lead is a
metal," or "gold is fusible"). While true, such
propositions are uninstructive: they add nothing to
our knowledge. In addition, such truth as they
possess requires no support from other propositions
offering evidence or reasons, as compared with
instructive propositions that do require such
support.
It is the second type of trifling or
uninstructive proposition that Kant, as before him
Leibniz, treats as an analytic judgment -- one in
which the predicate is contained in the definition
of the subject. In contrast, synthetic judgments
are, for Kant, expressed by propositions in which
the predicates lie entirely outside the meaning of
the subjects as defined. The distinction between
analytic and synthetic judgments being, for Kant,
exhaustive, he is then confronted by the following
dilemma: either all synthetic judgments are a
posteriori, requiring the support of evidence
or reasons that can be stated in other
propositions; or some are a priori and have
certitude in and of themselves.
I need not recount in detail all the steps in
the controversy about synthetic judgments a
priori which have eventuated in the currently
prevailing opinion that none exist, and that the
only tenable distinction is between verbal truths
or mere tautologies (Locke's two types of trifling
propositions and Kant's analytic judgments), on the
one hand, and truths about matters or fact or real
existence (Locke's instructive propositions and
Kant's synthetic judgments a
posteriori), on the other. This is
accompanied by the now generally accepted assertion
that the latter are always conclusions that must be
supported by evidence and reasoning. They cannot,
therefore, have incorrigible certitude, because the
supporting propositions are always themselves
synthetic and need similar support. Hence, if an
infinite regress is to be avoided, any argument for
the truth of a synthetic proposition must either
rest ultimately on postulates, which can always be
denied, or at least on evidence and reasons that
are intrinsically questionable.
The little error in the beginning, made by Locke
and Leibniz, perpetuated by Kant, and leading to
the repudiation of any non-verbal or
non-tautological truth having incorrigible
certitude, consists in starting with a dichotomy
instead of a trichotomy -- a twofold instead of a
threefold distinction of types of truth. In
addition to merely verbal statements which, as
tautologies, are uninstructive and need no support
beyond the rules of language, and in addition to
instructive statements which need support and
certification, either from experience or by
reasoning, there is a third class of statements
which are non-tautological or instructive, on the
one hand, and are also indemonstrable or
self-evidently true, on the other. These are the
statements that Euclid called "common notions,"
that Aristotle called "axioms" or "first
principles," and that mediaeval thinkers called
"propositions per se nota."
One example will suffice to make this clear --
the axiom or selfevident truth that a finite whole
is greater than any of its parts. This proposition
states our understanding of the relation between a
finite whole and its parts. It is not a statement
about the word "whole" or the word "part" but
rather about our understanding of wholes and parts
and their relation. All of the operative terms in
the proposition are indefinable. We cannot express
our understanding of a whole without reference to
our understanding of its parts and our
understanding that it is greater than any of its
parts. We cannot express our understanding of parts
without reference to our understanding of wholes
and our understanding that a part is less than the
whole of which it is a part.
When our understanding of an object that is
indefinable (e.g., a whole) involves our
understanding of another object that is indefinable
(e.g., a part), and of the relation between them,
that understanding is expressed in a self-evident
proposition which is not trifling, uninstructive,
or analytic, in Locke's sense or Kant's, for no
definitions are involved. Nor is it a synthetic
a priori judgment in Kant's sense, even
though it has incorrigible certitude; and it is
certainly not synthetic a posteriori since,
being intrinsically indemonstrable, it cannot be
supported by statements offering empirical evidence
or reasons.
The contemporary denial that there are any
indisputable statements which are not merely verbal
or tautological, together with the contemporary
assertion that all non-tautological statements
require extrinsic support or certification and that
none has incorrigible certitude, is therefore
falsified by the existence of a third type of
statement, exemplified by the axiom or self-evident
truth that a finite whole is greater than any of
its parts, or that a part is less than the finite
whole to which it belongs. It could as readily be
exemplified by the self-evident truth that the good
is the desirable, or that the desirable is the good
-- a statement that is known to be true entirely
from an understanding of its terms, both of which
are indefinables. One cannot say what the good is
except by reference to desire, or what desire is
except by reference to the good. The understanding
of either involves the understanding of the other,
and the understanding of both, each in relation to
the other, is expressed in a proposition per se
nota, i.e., self-evident or known to be true as
soon as its terms are understood.
Such propositions are neither analytic nor
synthetic in the modern sense of that dichotomy;
for the predicate is neither contained in the
definition of the subject, nor does it lie entirely
outside the meaning of the subject. Axioms or
self-evident truths are, furthermore, truths about
objects understood, objects that can have
instantiation in reality, and so they are not
merely verbal. They are not a priori
because they are based on experience, as all our
knowledge and understanding is; yet they are not
empirical or a posteriori in the sense that
they can be falsified by experience or require
empirical investigation for their confirmation. The
little error in the beginning, which consists in a
non-exhaustive dichotomy mistakenly regarded as
exhaustive, is corrected when we substitute for it
a trichotomy that distinguishes (i) merely verbal
tautologies, (ii) statements of fact that require
empirical support and can be empirically falsified,
(iii) axiomatic statements, expressing
indemonstrable truths of understanding which, while
based upon experience, do not require empirical
support and cannot be empirically
falsified.[6]
Before leaving this subject, I would like to
comment briefly on an error that is ancient and
mediaeval, not modern, in origin. It is the ancient
and mediaeval conception of what the Greeks called
"episteme" and the Latins "scientia." The error
consists in the oversimplified view that a science
is an organized body of knowledge which consists
solely of axioms, or self-evident truths, and
propositions that can be rigorously demonstrated by
deduction from them as conclusions, using only
axioms as the ultimate premises or first
principles. No such body of knowledge exists,
either in the sphere of mathematics or in that of
philosophy, neither of which involve empirical
investigation of any sort; a fortiori, no
such body of knowledge exists in the sphere of what
we now call "empirical science." While this
mistaken conception of science is stated by both
Aristotle and Aquinas, it is not put into practice
by them when they expound their own philosophical
doctrines. Aristotle's Metaphysics, for
example, is not set forth as a deductive system in
which conclusions are deductively developed from
and demonstrated by a small number of axioms or
self-evident truths that function as its first
principles. Nor is the doctrine of De Ente et
Essentia expounded in that way. The actual
exemplification of this erroneous conception of
science is to be found only in the works of modern
philosophers -- in the way in which Descartes and
Spinoza attempt to expound their doctrines as
deductive systems: and in Kant's illusions about
Euclidean geometry as the model of deductive
science.
2. Closely connected with the little error about
analytic and synthetic judgments as an exhaustive
distinction is another little error that has the
most far-reaching consequences for moral philosophy
in modern times, resulting in the total abandonment
of normative ethics by those who treat all
statements about good and bad, or right and wrong,
as non-cognitive or emotive. This error consists in
the failure to distinguish two radically different
modes of truth.
If all truth is of the same sort, involving some
correspondence between what is asserted and what is
the case, then only descriptive propositions (or
"is-statements") can be either true or false.
Normative propositions (or "ought-statements")
obviously cannot be either true or false; for, in
the first place, the statement that something ought
or ought not to be done cannot correspond with what
is or is not the case; and, in the second place, an
ought-statement cannot be established as true on
the basis of a series of isstatements that are true
by virtue of their correspondence with what is the
case; nor can ought-statements, when categorical,
be reduced to is-statements. Since normative
propositions cannot be either true or false, they
must be interpreted in some other way, and the
criteria for accepting or rejecting them must be
entirely different from the criteria applicable to
statements that claim to be knowledge.
With obvious and significant exceptions, such as
Jacques Maritain, not a single modern writer in the
field of moral philosophy is cognizant of
Aristotle's and Aquinas's distinction between
speculative and practical truth (i.e., the mode of
truth appropriate to descriptive propositions or
is-statements, on the one hand, and the mode of
truth appropriate to normative propositions or
ought-statements, on the other). If, instead of
making this little error in the beginning, due to
ignorance, they had recognized that a statement
about what ought to be done can be true or false by
virtue of its conformity or non-conformity with
right desire, thus having a mode of truth quite
different from the truth or falsity of descriptive
statements by virtue of their conformity or
non-conformity with what really is the case,
non-cognitive or emotive ethics might not have come
into being as the only solution of the problem of
what to do about statements that are not about
matters of fact and do not describe any objects
whatsoever by saying what they are or are not.
Avoidance of that error would not, of course,
have been sufficient by itself to save moral
philosophy in modern times from all its serious
mistakes. Reference to right desire indicates
another little error that need not have been made
if modern writers had been cognizant of the
distinction between natural and conscious, or
elicit, desire. In the absence of this distinction,
it is impossible to differentiate between the real
and the apparent good -- the former, that which
ought to be consciously desired because it is good
and because its goodness consists in its satisfying
a natural desire (or need); the latter, that which
is regarded as good only because it is consciously
desired (or wanted), whether or not it satisfies a
natural need. Right desire, then, consists in
consciously desiring what one ought to desire --
that which is really good because it satisfies a
natural desire.
As I have already pointed out, it is
self-evident or axiomatic that the good is the
desirable and the desirable the good. But the
desirable can be either (i) that which ought to be
desired whether or not it is in fact desired, or
(ii) that which is in fact desired whether or not
it ought to be desired. So the good can be either
(i) that which is really good because it is
naturally desired (needed), whether or not it is
consciously desired (wanted) or (ii) that which
appears to be good because it is consciously
desired (wanted) whether or not it is naturally
desired (needed). Given these two distinctions, the
one with regard to the desirable, the other with
regard to the good, the axiom that the good is the
desirable generates another selfevident truth,
namely, that we ought to desire everything that is
really good for us and nothing else. Desiring that
which ought to be desired because it is really good
is right desire; and any oughtstatement then
becomes true if the desire that it prescribes
conforms to this standard of right desire.
An understanding of the foregoing would have
saved modern thought from all its fruitless
discussion of the so-called "naturalistic fallacy,"
as well as from the non-cognitive or emotive
interpretation of normative statements or
value-judgments. But still another little error
made in modern thought must be corrected to save it
from another blind alley in ethics -- that of
naturalism, which tries to reduce all value
judgments to statements of fact, all normative
judgments to descriptions. This error consists in a
failure to recognize a distinction between the two
senses in which an end can be proposed as the
ultimate or final goal and as the criterion for
judging the moral value of anything that is
proposed as a means.
This distinction is best exemplified by the
difference between temporal happiness, on the one
hand, and eternal beatitude, on the other. When
eternal beatitude is proposed by Aquinas as a final
end, it is also conceived as a terminal end -- an
end that can be reached and in which, when reached,
one comes to rest. But when temporal happiness is
proposed by Aristotle as a final end, it is not
conceived as a terminal end, for in the course of
this temporal life there is no achievement or any
state of being in which we can come to rest; there
is no moment of which we are compelled to say
"Stay, thou art so fair!" Temporal happiness is a
final end only in a purely normative sense. It is
that sum of real goods or totum bonum which
can be achieved only successively and only in the
course of a whole life, not at any one moment nor
even at any one period of one's life. Thus
conceived, temporal happiness cannot be enjoyed as
a psychological experience; it is not an end that
can be reached and rested in.
Failing to understand this distinction between a
final end that is terminal and one that is purely
normative, and mistakenly supposing that a final
end must be terminal, the naturalist denies that
there is any final end in this life. In
consequence, every end must be regarded as a means
to some further end; all normative judgments become
hypothetical rather than categorical; and it is in
this way that they are all reduced to statements of
fact. That something either does or not serve as a
means to something else as an end is a matter of
fact; if, then, everything is a means to something
else, and nothing is an end itself, then all
statements about means to be chosen are
hypothetical (if you wish to attain a certain end,
then choose these means); and all statements about
ends to be sought must be converted into statements
about them as means to further ends.
Two other errors closely connected with the one
just mentioned consist in mistakes concerning
happiness -- mistakes which, in my judgment, could
have been avoided by a careful reading of
Aristotle's Ethics. One is the mistake of
conceiving happiness as the highest good or
summum bonum; for the highest good is only
one good in an order or set of goods, and no one
good can be identified with happiness, for then one
could achieve happiness while still lacking many
other goods, in which case happiness could not be a
normative final end. Having it, one might still
desire other things. To be a final end that is
normative, not terminal, happiness must be
conceived as the totum bonum, the whole of
real goods successively achieved in the course of a
lifetime, not simultaneously possessed at any one
moment.
The second error is the mistake of conceiving
happiness in psychological instead of in ethical
terms, as a hedonic state of satisfaction, enjoyed
at one moment and not at another, instead of as a
purely normative goal that has no existence at all
as an object of experience or as a state of being
that can be enjoyed. Making this error, Kant
imposes upon all subsequent thought the false
diremption between a deontological and a
teleological ethics -- the one an ethics of
categorical oughts or obligations, the other a
merely pragmatic or utilitarian calculation of
means and ends, or desires and satisfactions.
Avoiding all these little errors that beset
modern thought in the field of ethics, a sound
moral philosophy not only can be, but also must be,
both deontological and teleological. Happiness as
the sum of all real goods is the normative final
end that ought to be pursued as the object of right
desire, and everything else is good in proportion
as it serves as a means constitutive or productive
of this end -- a good human life as a whole.
One of the errors already mentioned has
consequences for political philosophy as well as
for ethics. It is the failure to distinguish
between natural needs and conscious wants, together
with the related failure to distinguish between
real and apparent goods. The only basis for natural
rights lies in natural needs. A man has, by nature,
a right to that which, by nature, he needs for the
fulfillment of his categorical obligation to lead a
good human life. When I know what is really good
for me, because it answers to my natural needs, I
also know what is really good for everyone else,
because they are of the same nature; and it is thus
that I know what every man can claim as his natural
right.
It is precisely this understanding of natural
rights that is lacking in modern political
philosophy. The absence of it leads to all kinds of
philosophical contortions and confections in
contemporary efforts to deal with the problems of
justice, as witness the recent book by Professor
John Rawls on this subject.
Another little error should be mentioned. It
occurs in J. S. Mill's Utilitarianism and is
not noticed by many of his followers. On the one
hand, Mill proposes that the individual should
pursue his own happiness as an ultimate end. On the
other hand, he also proposes that each of us should
work for the general happiness, or the greatest
good of the greatest number, this too as an
ultimate end. But it is impossible for there to be
two ultimate ends not ordered to one another; and
if one is subordinated to the other, then both are
not ultimate ends.
This error on Mill's part might have been
avoided if he had known and understood the
distinction between bonum commune hominis
and bonum commune communitatis, and their
relation to one another. Because each man as a
person is an end not a means, and in relation to
human beings the state is a means not an end, the
good that is common to and shared by all men as men
(the bonum commune hominis) is the
one and only ultimate end or final goal in this
life. The good that is common to and shared by all
men as members of the political community (the
bonum commune communitatis) is an end served
by the organized community as a whole, and a means
to the individual happiness of each man and of all.
The individual by himself cannot work
directly for the general happiness or the
happiness of all; he can do so, indirectly,
only by working with others for the good of the
political community, which is itself a means to the
happiness of each and everyone, including
himself.
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