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Is Logic An Absolute?
by
Rev. Roger Smalling, D.Min
The basic law of logic is a primordial reality
There exists a small category of realities termed "primordial." These
require no proof of existence outside of themselves. Time and space are
good examples. Empty space would exist even if nothing else did. We don't
have to explain it. We don't have to prove it. It simply is.
Time is another example of a primordial reality. If we define time
as the relative rate of change between material objects, then it follows
that time could not exist without matter. Or, that the existence of matter
forces the existence of time. The two are inseparable. It may be said
that time is intrinsic to matter, or that matter is the instigator
of time.
Logic is also a primordial reality, and bares the same relationship
to existence as time does to matter. Logic is intrinsic to
reality. It requires no justification for its existence, because reality
itself is the initiator of logic. The mere fact of the existence of anything
at all, automatically puts existence into a relationship with non-existence.
This relationship is logic. Existence versus non-existence, is
the foundation of logic.
The foundation of logic is the proposition, "a thing is what it is,
and is not what it is not." Aristotle put it formally as "A is not non-A
at the same time and in the same relationship". A tree is a tree and
is not a non-tree. It is not a dog, a fish or a cloud. A tree is a tree.
That statement is both reality and logic at the same time. This is the
basic law of logic, known as the Law of Non-Contradictions.
Occasionally we hear it said that the Greeks, Aristotle in particular,
invented logic. Was everyone illogical before Aristotle?
Nonsense can therefore be defined as non-reality. Sense is
that which corresponds to reality. It is the verbal or mental conception
of the real world.
At this point, we must rectify a common misconception. When we talk
about logic in this basic sense of existence-versus-non-existence,
we are not referring to an activity of the mind. A star exists whether
we perceive it or not. It bears a star-versus-non-stars relationship
with other objects regardless of anyone's perception.
Most Relativists and New Agers would take exception to this since they
think there is no objective reality outside their own minds. This is
refutable by the rhetorical question, "Do any of their own objections
have objective reality, or are these also figments of their own mind?"
The difference between reality and mind is the distinction between
a landscape and a photograph of that landscape. The photo is not the
landscape but merely a representation. In a sense, there is a
mental conception in which the two are inseparable, but not the same.
Has anyone ever taken a photo of a landscape that did not exist? The
mind can create nothing more than representations of realities, not the
realities themselves. Likewise, who would assert that a landscape does
not exist merely because no one has photographed it?
So, the basic law of logic exists independently of mind for
the same reason that a star can exist in the absence of a mind to perceive
it. We must keep it constantly clear that it is not mind that
produces the basic law of logic, but reality does.
Because of this connection, logic requires no more validation of its
existence than does time or space. As time and space need no validation,
since there is no existence without them, so logic needs no validation
outside of itself. One would be foolish to try to disprove the existence
of time, because he must take time to do that. No less of a fool is one
who tries to invalidate logic. One must use logic itself to do so.
All of the statements below follow inevitably from this link between
logic and reality. They require no other authority.
Logic, beyond the basic law of existence, requires mind
People may get confused about the relationship between the basic law
of existence and mind, because they tend to think of that
law as a 'proposition'. (A 'proposition' in logic means a statement
that forms the basis of an argument.) But the basic law, as stated
above, is not a proposition in this sense. It is simply a reality.
Thus, some people (like New Agers) normally treat the basic law as
nothing but an opinion, rather than the inescapable reality that it
is.
Why is it inescapable? Try thinking a single thought without logic.
The mere existence of the thought puts it in relationship with non-thought.
This automatically involves the law of existence.
Logic is inescapable for another reason. We assume that the conclusion
of an argument is true if the premises are true. We do this simply because
our minds cannot do otherwise.
Where then does mind come in? It comes in at any point beyond
the basic law of Non-Contradictions, when we formulate a proposition.
Logic enters because we can't keep it out.
Logic is the only mens for discovering or evaluating truth
Since the entire basis of logic is the fact of existence, we are compelled
to use logic to 'prove' things. This compulsion is not an accident of
human nature, nor a mere philosophical choice, nor a product of our culture.
We cannot avoid it if we are going to live in reality.
When we say 'prove' we mean we can show some things to be 'real' whether
they are observable or not. We are saying that if the premises are 'real',
and joined logically, then the conclusion must also be 'real'. The subject
of the conclusion must really and truly exist somewhere.
Conversely, when we say that a 'truth' is 'proven', we mean we have
shown a correlation between the proposition and the reality the proposition
represents. We have, in other words, used logic.
This is obvious enough. What is not apparent to some is that no other
way could possibly exist to prove anything. Regardless of the source
of our data, the data must correlate with reality in some way or we cannot
accept it as 'real' nor believable. Without this correlation, the mind
must reject the data as unreal, that is, untrue. The mind must have a
device for making this correlation, and that device is logic.
Even if we assert that other devices exist, such as a supposed Divine
revelation, then we find ourselves embarrassed if asked, 'what logic
compelled you to assert that'? People who claim the existence of other
devices for validating truth invariable try to use logic to validate
that very assertion!
Suppose, for example, that the source of the data were indeed Divine
revelation. Does this change the necessity of logic for validating it?
Not at all. Even if the data is Divine, the mind must correlate it with
reality for it to be understood or believed.
Further, the data involved, however Divine, is still subject to the
basic principle of existence. It exists versus not-existing. Its very
existence subjects it to the first basic law of logic. Thus, Divine revelation
cannot escape this law any more than other data can.
Thus, in terms of the need to correlate data via logic, it does not matter
that God's mind is "higher" than ours, nor that our mind is derived from
His, nor that He is the First Cause. These are irrelevancies. Data is
still data, and must exist versus not existing.
Since no data, not even Divine, can escape this basic law, it follows
that logic is the only possible means to prove the 'reality' of the data.
It does not matter what kind of truth is being proven, whether
Divine or otherwise. If any other means of proof existed, then by definition
it would be a non-logical, or illogical, means. It makes no sense, therefore,
to assert that any other means could possibly exist for proving any truth
whatsoever, than logic itself.
Logic and reason are different
At this point, another common misunderstanding intervenes. Just because
a person thinks a line of argumentation is logical, does not make it
so. That would be like saying that a thing is real if a person imagines
it to be so. Do flying horses exist because somebody believes they do?
Reason is the relative ability to manipulate correctly the laws of
logic to arrive at valid conclusions. While the laws of logic are absolute,
our ability to use them are not. This skill varies from person to person.
We all make logic errors. This is not the fault of logic. It is a fault
in our abilities.
Sometimes people point to philosophers who have come to very strange
conclusions via supposed logic. Supposedly such examples demonstrate
that logic itself is not a very reliable means for asserting truth.
Christians, for example, point out atheistic philosophers and their
reasoning as examples of how logic may fail to arrive at truth. There
are two problems with this attitude. First, it assumes the atheistic
lines of reasoning are in fact logical. Closer examination invariable
shows them as irrational.
Second, some Christians forget they themselves are attempting to use
a line of logic to prove an argument. They are using logic to disparage
the value of logic. There is a term in philosophy to describe this. It
is called
"cheating".
We all commit logic errors. Voluminous books have been written on the
many ways to commit logic fallacies. These fallacies do not prove logic
is invalid. They only show logic is not always easy. So what? This is
a challenge to handle it carefully.
Truth and validy are different
If the premises of a line of argument are joined consistently, and
the conclusion follows accurately, then the conclusion is said to be
'valid'. What if the premises are, in fact, not true? Does this affect
the 'validity' of the argument? Not at all. Logicians distinguish between
validity and truth.
When we say that an argument is valid, we mean that its form is
correct. This statement about validity is not an endorsement of its premises.
Example:
All men have ten fingers.
John is a man.
Therefore, John has ten fingers.
Suppose we meet John and discover that he has only nine. Does this
invalidate the argument? No, because the form is correct. Is the conclusion
true? Again, the answer is no, because the first premise is not true.
(Not all men have ten fingers. Some may be lost in accidents.)
Thus, it is possible for an argument to be valid, but untrue. It is also
possible for the conclusion of an invalid argument to be perfectly true
as well. People often come to perfectly true conclusions from a dubious
line of logic. This is accidental of course, but it does not change the
truth of the conclusion. John may indeed have ten fingers, although it
is false that all men do.
Failure to distinguish between truth and validity gets people into
trouble. We may imagine ourselves to be logical because we come to a
truth via logic, when in fact our logic may contain fallacies. Or, we
may come to firm conclusions, totally untrue, based on impeccable logic,
because we have accepted untrue premises.
God's logic is essentially the same as ours
God Himself knows that He can't exist and not exist at the same time.
This is just as much a manifestation of the basic law of existence as
any other data. He exists versus not existing. Since this is the essential
nature of reality, and if we say that God is the ground of reality as
the First Cause, then it follows the nature of God's logic cannot be
essentially different from ours.
Note that I said, different in "nature". I did not say different in "content,"
nor 'different in precision.' To reason at all requires data. The more
data we have, the more basis for logical conclusions. The ability to
correlate the data determines the accuracy of the conclusion, (the
absence of fallacies).
If then God knows all things, (possesses all the data) and is all powerful
(has infinite ability), then He never commits the logic fallacies we
do. These issues of content and precision, though concomitant to logic,
are nevertheless distinct from the essential nature of logic itself.
God is limited by the law of non-contradictions?
To suggest that the Law of Non-Contradictions limits God, we would
need to demonstrate first that the Law itself is limited. Since the Law
of Non-Contradictions is a reflection of existence itself, then the question
of any limitations becomes absurd. We would have to associate it with
something finite to make it limited. After all, existence is
not non-existence at the same time and in the same respect. How can
that statement possess a limitation?
The only other way to 'limit' the Law of Non-Contradictions would be
mathematically. If the number of possibilities is finite, we would conclude
God is not 'limited' by it, since He is infinite. However, no one has
shown a mathematical limitation on the Law of Non-Contradictions.
Thus, the question, "Is God limited by the Law of Non-Contradictions?",
simply has no meaning, unless it cannot be shown that the law of non-contradictions
has a limitation.
The basic law of logic must exist if anything at all exists
If ANYTHING exists, even if the 'anything' is God alone, then logic
exists by the nature of the case. The existence of God then bears a relationship
to the idea of the non-existence of God....and that incurs logic.
Does this make logic 'superior' to God? Since God is the grounds of
all reality, it would be absurd to state that logic is superior to Him.
This is true, even though logic is a primordial reality, like infinite
space.
Logic is the only valid starting point in our understanding of anything,
including God
Some branches of Christendom would consider this statement to be sacrilegious.
Faith is supposed to be the beginning point of everything having to do
with God. This may sound correct but it contains a problem. Which organ
of our anatomy decides that faith comes first? Obviously the mind makes
this decision and operates by logic. Therefore faith is chronologically
secondary to understanding anything, including God.
Nevertheless, chronological priority does not infer supremacy. Logic
is first, but is not superior to God.
True knowledge of any kind, including the knowledge of God, starts
therefore with logic. It cannot start anywhere else.
It is therefore the ultimate absurdity to assert that no true knowledge
is available without first assuming the existence of God. It would be
more accurate to say no true knowledge is possible by such an assumption.
It denies the priority of logic and therefore of reality itself.
Where then does faith come in? Logic may point a person toward faith.
But it can go no further. Trust then becomes a question of will. That
is another subject beyond the scope of this essay.
Is the dialectic a form of logic?
No. The Dialectic is a form of illogic.
The German philosopher Hegel, (1770-1831), invented a supposedly superior
form of reasoning which would revolutionize philosophy. It's impact has
truly been revolutionary. It forms the philosophical basis for Dialectical
Materialism, more commonly known as Communism. Liberal Protestantism
uses it to deduce its various theories. Theologian Paul Tillich called
it, "The Protestant Method." In philosophy, the Dialectic is the foundation
for relativism and all of the post-modern thought forms stemming from
it.
The Dialectic follows a triangular pattern:
Thesis Anti-Thesis
Synthesis
The Thesis refers to any proposition affirming a truth. ("White is
a good color.") The Anti-thesis is the opposite of the thesis. ("Black
is a bad color.") The Synthesis is a blend of the two. ("Gray is better
than both.") The synthesis then becomes a new Thesis, which produces
a new Anti thesis, ad infinitum.
A more concrete example:
Thesis = Christianity has some good elements in it.
Anti-thesis = Communism has some good elements also, though opposed to
Christianity.
Let's take the good elements out of each and come up with something superior
to both.
Result? Synthesis = The Social Gospel of Rauschenbusch. Or the Liberation
Theology of Gutierrez. These men arrived at their so-called theology
in exactly this fashion, and said so in their writings.
On the surface, the Dialectic seems a reasonable process. How then
can we say it is a form of illogic?
No external standard exists to decide what is good or bad in the propositions.
Who decides what good is? Where did this standard originate and
what is the authority for it? Nothing within the Dialectic gives clues.
What methodology should we use to validate the Dialectic? The Law of
Non-Contradictions? Of course! What else is there? We could not use the
Dialectic itself because this would incur circular reasoning.
At this point, the Dialectician invariably replies, "The individual
decides."
Why an individual? Why not two individuals, or ten thousand or
none at all? Why not a roulette wheel?
The problem with the Dialectic is that it cannot validate itself in
the same way the Law of Non-Contradictions can. Dialecticians invariable
use the Law of Non-Contradictions for this purpose, thus contradicting
themselves.
The Law of Non-Contradictions is self-validating in a way in which the
Dialectic can never be. It is consistent to use the Law of Non Contradictions
to validate itself because of its intrinsic connection to reality.
Summary
The nature of logic is reality itself because of the fact of existence.
Anything that exists does so in relation to non-existence, and this is
the essential premise of logic. A denial or disparaging of logic in any
sense is therefore a denial or disparaging of reality itself. Where does
it leave us if we deny reality?
No truth therefore can be discovered or evaluated without logic since
the term 'truth' is merely an assertion about reality. Logic is not only
the best means for evaluating truth, it is the only one that could possibly
exist.
Therefore, truth cannot be evaluated, discovered or validated without
taking logic as its starting point. Knowledge cannot be 'true' knowledge
if it starts at any other place than logic.
This is just as true of the knowledge of God as any other knowledge.
Even though data may have its source in revelation, the mind must correlate
it with logic for it to be understood.
Logic becomes indispensable for the same reason we cannot dispose of
reality itself without forfeiting our own existence.
The essential nature of logic, therefore, can be described as a primordial
reality which requires no other validation than reality itself.
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