It has already been observed that the scientific argument for the
existence of the Creator follows the method of inductive demonstration, which is based on
the computation of probability. We wish, however, before presenting this argument, to
explain this method and then to evaluate it in order to determine the extent to which it
can be relied upon in the discovery of the truth of things. The inductive method based on
the computation of probability has an extremely complex and highly precise structure.
Therefore, a complete and precise evaluation of this method can be achieved only through a
detailed and thorough analysis of the logical foundations of induction (al-Usus
al-mantiqiyyah lil-istiqra') as well as the theory of probability.' [9] Our purpose here is, however, to avoid difficult and complicated
constructions and analyses not readily accessible to the average reader. We shall
therefore do two things; first, delimit the demonstrative method we shall follow and
explain its steps briefly and succintly. We shall secondly, evaluate this method and
determine its validity. We shall do this not through a logical analysis of the method and
the discovery of its logical and mathematical bases, but through practical applications
acceptable to any rational human being.
It must be stated at this point that the method we use in demonstrating the existence
of the wise Creator is the same method we confidently employ in our daily life as well as
in our scientific experiments. What follows will provide sufficient evidence of the fact
that the method of demonstration of the existence of a wise Creator is the same method we
use to prove the truths of everyday reality as well as scientific truths. Since,
therefore, we trust this method with regard to the reality of everyday life, we must trust
it also with regard to the proof of the wise Creator, who is the source of all truth.
You receive a letter in the mail, and you conclude from merely reading it that it is
from your brother. Similarly, when one sees that a certain physician has succeeded in
curing many illnesses, one trusts this physician and considers him to be a skillful one.
Likewise, if after taking penicillin ten times, one found each time that his body reacted
to it in the same negative manner, one would conclude that he had an allergy to
penicillin. In all these cases, the method used is the inductive method based on the
computation of probability. Similarly, with regard to natural science, when a certain
scientist had observed some particular characteristics of the solar system in the course
of his research, he was able to conclude that these separate bodies had all been a part of
the sun from which they had later separated. When this same scientist monitored the paths
of planetary movements, he was able to deduce the existence of the planet Neptune, even
before he was able to observe the planet with his sense of vision. Science, in light of
special phenomena, was also able to postulate the existence of electrons before the
discovery of the cloud chamber. Scientists, in all these cases, have used the inductive
method of proof, based on the computation of probability: We shall employ the same method
in our argument for the existence of they wise Creator.
a) Definition of the Method and Delineation of its Steps,
The method of inductive argument based on the computation of probability may be
summarized clearly and simply in the following five steps:
1. We encounter on the level of sense perception and experimentation numerous
phenomena.
2.. After observing and collecting our date, we go on to interpret them. What is
required in this stage is to find a suitable hypothesis on the basis of which we can
interpret and justify these phenomena. By its being suitable for the interpretation of
these phenomena, we mean that if it is actually established it must be inherent in, or at
least in consonance with, all these phenomena which themselves actually exist.
3. We notice that the hypothesis, if it were not suitable and actually established,
would indicate that the possibility of the existence of the phenomena is very scant. In
other words, to suppose the incorrectness of the hypothesis would mean `that the degree of
probability of the existence of the phenomena, compared with the probability of their
non-existence, or the non-existence of at least one of them, is very small, one in a
hundred or one in a thousand, and so forth.
4.. We therefore conclude that the hypothesis must be true, a fact which we infer from
our sense experience of the phenomena on which it is based, as we have seen in step one.
5. The degree of verifiability by the phenomena of the hypothesis offered in the second
step is directly related to the probability of the existence of these phenomena and
inversely related to the probability of their non-existence. (We mean by the probability
of their non-existence either their non-existence altogether or that of at least one of
them.) If we assume the incorrectness of the hypothesis, even then the smaller this
ration, the greater would be the degree of verifiability, so that in many ordinary cases
it could attain a degree of absolute certainty. (This according to the second stage of
proof by induction.)" [10]
There are, in reality, precise measures or regulations for evaluating degrees of
probability based on the theory of probability. In ordinary everyday situations, people
apply these measures unconsciously in ways that are very close to their correct
application. For this reason, we shall limit ourselves to the evaluation of this natural
application without entering into the logical and mathematical principles of its
evaluation. [11] These are, then, the steps which we usually
follow in any inductive argument based on the computa tion of probability, whether in our
every day life on the level of scientific investigation, or in proof of the existence of
the wise Creator, praised and exalted be He.
b) Evaluation of the Method
We shall, as we have already promised, evaluate this method in the light of its
practical application with illustrations from ordinary everyday life. We have already
observed that when you receive a letter in the` mail, and upon reading it conclude that it
is from your brother and not from another person who happens to like you and wishes to
correspond with you, you are employing the method of inductive proof based on the
computation of probabilities. The problem of the identity of the sender would be solved by
using the following steps.
1. You observe many indications such as the letter bears a name which agrees completely
with that of your brother. The handwriting is that of your brother and the style of
writing and format are those usually employed by your brother. In addition, even the
mistakes and items of information are those usually made, or supplied by your brother. All
this you infer from the habits and ways of thinking of your brother. The letter would,
moreover, express opinions and ask for things which you know to expect from your brother.
2. In the second step you ask, "Did my brother actually send this letter to me, it
is it from another person with the same name?" Here you would find in the indications
previously observed sufficient bases for a good hypothesis for interpreting and justifying
these data as evidence of the fact that the letter was in reality from your brother.
Conversely, if you were led to conclude that the letter was , from your brother, then all
the data observed in the first step would. have to be provided.
3. In the third step you would further ask the following question: "If this
letter, was. not from my brother, but from another person then what is the degree of
probability of all these indications and characteristics being simultaneously present for
me to observe in the first step?" Such a possibility requires a large number of
assumptions. This is because for us to accept all these indications and characteristics we
must first assume that another person bears the same name as the brother. He must further
resemble him in all the characteristics above discussed. The possibility for such a large
number of coincidences to happen simultaneously is slight indeed. Moreover, as the number
of the coincidences that must be assumed increases, the probability of their simultaneous
occurrence is conversely diminished.
The logical principles of induction teach us the way to measure probability and explain
how it diminishes. They further explain how probability decreases in proportion to the
assumptions it requires. We need not enter into the details of all this because it is a
complex subject too difficult ! for the average reader to comprehend. Fortunately,
however, perceiving low probability does not depend on the :understanding of these
details, as for example; the falling of a man from a high place to the ground does not
depend on his understanding of the force of gravity or his, knowledge of the scientific
principles of gravity. Thus the recipient of the letter requires nothing to infer that the
existence of a person resembling his brother in all the coincidences and characteristics
above discussed, is very improbable.
4. In the fourth step, you would reason as follows. Since the congruence of all these
occurrences is very improbable, if you were to suppose that the letter was not from your
brother, there would then be a far greater likelihood that the letter was from your
brother because these coincidences do actually exist.
5. In the fifth step, you would connect the conclusion of the fourth step, i.e., the
possibility that the letter was from your brother, with the small degree of probability of
the existence of all the characteristics of the letter without it being from your brother.
The connection between these two steps means that the possibility of the letter being from
your brother negates the probability of its being from someone else, in inverse
proportion. Thus the smaller the degree of probability; the greater would be the opposite
likelihood and the more persuasive. If moreover there was no a opposing evidence, then the
five steps just presented provide convincing evidence of the validity of the method on the
level of everyday life.
Let us now take another example, this time from the realm of scientific knowledge,
where the method may be employed to demonstrate a scientific theory. Let us consider the
theory concerning the development of the planets and their separation from the sun. The
nine planets were originally part of the sun from which they separated as burning pieces
millions of years ago. Scientists generally agree with regard to the principle of the
theory, but differ concerning the cause of the separation of these pieces from the sun.
Demonstration of the principle on which they agree would follow these steps.
i. Scientists have observed a number of phenomena which they perceived by means of the
senses and experimentation. These are:
a. `The rotation of the earth around the sun is in harmony with the rotation of the sun
around its axis each complete rotation being from west to east.
b. The rotation of the earth around its axis is concurrent with the rotation of the sun
around its axis, that is, from west to east.
c. The earth rotates around the sun in an orbit parallel to the equatorial line of the
sun, so that the sun would resemble a pole and the earth a point rotating around it, like
a millstone.
d. The elements of which the earth is made are for the most part found in the sun as
well.
e. There is a close similarity between the elements of the earth and those of the sun
in their chemical composition, in both hydrogen predominates.
f. The speed of the rotation of the earth around the sun and around its own axis is in
harmony with that of the rotation of the sun around its axis.
g. There is a measure of agreement between the age of the earth and the age of the sun,
according to the calculations of scientists.
h. The inside of the earth is hot, which proves that the earth in its early stages was
very hot.
ii. These were some of the phenomena which, scientists observed through sense
experience and experimentation in the: first step. In the second, they decided that there
is a hypothesis by which all these phenomena could be explained. This means that if the
hypothesis were to be actually true, then it would inherently belong to these phenomena
and justify them. The hypothesis holds that the earth was part of the sun from which it
separated, for whatever reasons. With this assumption, we can explain the foregoing
phenomena.
The first is the fact that the harmony of the rotation of the earth around the sun and
that of the sun around its own axis is due to the motion of both being from west to east.
The reason for this harmony becomes clear on the basis of the above hypothesis, which
further holds that if part of any body in motion is separated from it while remaining
drawn towards it by a thread or some other means, that separated part will always move in
the same original orbit in accordance with the law of continuity. As for the second
phenomenon, which is the harmony of the rotation of the earth around its axis with the
rotation of the sun around its axis this also can be sufficiently explained by the same
hypothesis and according to the same law. The same holds for the third phenomenon as well.
As for the fourth and fifth phenomena, which demonstrate a close similarity of composition
and proportion of the' elements which make up the earth and the sun, they become self
evident on the basis of the fact that the earth was part of the sun. The elements of a
part must be those of the whole. The sixth phenomenon, namely, the harmony between the
speed of the earth's rotation around the sun and around its axis and that of the sun
around its axis becomes clear because we know that both motions of the earth originated
from the motion of the sun. This we know on the basis of our earlier hypothesis, which
presupposes the separation of the earth from the sun. This not only explains the observed
harmony, but also delineates its cause. On the basis of the same hypothesis, we can
explain the similarity in age of the two bodies, which is our seventh phenomenon.
Likewise, the eighth, which is the intense heat-of the earth in its early stages, can be
explained on the basis of the same hypothesis.
iii. If we were to suppose that the theory of the separation of the earth :from the sun
is not true, it would be highly unlikely for all these phenomena to exist together and be
closely connected. In this case, they would simply be a collection of coincidences without
any intelligible connection among them. Therefore, the probability of their existence, if
we suppose the falsity of our theory, would be very small indeed. This is because this
supposition would require a large number of hypotheses for the explanation of these
phenomena.
With regard to the harmony between the motion of the earth around the sun and the sun
around its own axis, from west to east, we would have to assume that the earth was a body
far away from the sun, created independently or part of another sun from which it
separated subsequently drawing near to our sun. We would also have to suppose that this
earth, travelling freely in space, upon entering its orbit around the sun entered at a
point west of the sun. For this reason, it continues to rotate from west to east, that is,
in the direction of the sun's own rotation around its axis. If it had instead entered at a
point east of the sun, it would have moved from east to west.
As for the harmony between the rotation of the earth around its axis and the rotation
of the sun around its axis from west to east, we would have to suppose that the other sun
from which the earth separated was itself rotating from west to east. As for the rotation
of the earth around the sun, in an orbit parallel to the equatorial line of the sun, we
would likewise have to suppose that the other sun from which the earth separated was at
that moment situated in the same plane as the equatorial line of our sun. As for the
similarity of the elements of the earth and the sun and their composition, we would have
to suppose that the other sun from which the earth separated contained the same elements
and in similar proportion. As for the speed of the rotation of the earth around the sun
and around its own axis, being harmonious with the speed of the sun's rotation around its
axis, we would have to suppose that the other sun from which the earth separated exploded.
in a way which gave the moving earth a speed similar to that of our sun: As .for .the age
of the sun and the earth and the heat of the earth in the early stages of its development,
we would, have . to suppose that the earth separated from another sun having the, same,
age as our sun and that it separated in a manner which led to its intense heat. Thus we
see that the possibility of the simultaneous existence of all these phenomena ,on, the
principle of the invalidity of the theory of the separation of the earth from our sun,
requires a large number of coincidences, the probability of whose simultaneous occurrence
is very small. In contrast, the separation theory alone is sufficient for explaining these
phenomena and connecting them together.
iv. In the fourth step we conclude that since the coincidence of all these phenomena,
which we observe in the earth, is improbable except to a very small degree, on the
assumption that the earth was not separated from our sun; it must be highly probable
(since all these phenomena do indeed exist) that the earth did indeed separate from our
sun.
v. In the fifth and last step, we connect the possibility of the separation hypothesis,
as inferred in the fourth step, with the low probability of the coincidence of the
phenomena in the earth without its having been separated from the sun as we decided in the
third step: The connection between these two steps would show a strong improbability for
the third step and conversely a high probability for the fourth. We are able by means of
this method to demonstrate the separation of the earth from the sun, by which means
scientists achieve absolute conviction of this fact.