Logic's First Principles
A basic article on the foundational laws of logic.
The Basics
of First Principles
By Dr. C. Matthew McMahon
Do you
understand this sentence? Good.
Then you are thinking, and you are applying the basic objective
laws that govern the universe. That does not mean your thought constitutes what is right, it
just means you are thinking and applying the basic laws of logic.
You are conforming to basic laws of logic even if you do not
realize it. Without those
basic laws in place we would not be able to communicate.
Already, at this point, you would have given up because these few
sentences would have been utterly meaningless to you.
Each word could have meant something totally different if you
were not applying the laws of logic. They could have meant anything if those laws were not in
place and you were not following them.
But you press on. You
continue to read in understanding what is being said with each word
used. If there were a more difficult word to deal with, say the
word “solipsist,” you may have to grab a dictionary and look it up.
But even when you look that word up, you are still adhering to
the basic laws of the universe, the basic laws of logic.
You are attempting to put into practice that which is logical.
Without these basic laws it is utterly impossible to communicate,
understand, or know anything. John
Brown said, “As the law of nature must necessarily correspond with the
nature of God, who imposes it, and of men, who are subjected to it, and
with their relations to each other; these must be carefully considered,
in order to our obtaining a proper knowledge of it.”
Hopefully this will be carefully considered in this article.
The
modern world is in a great dilemma, as is especially true of those all
those who adhere in some sort to false religions or cultic ideology.
It seems in our day that there are many who rest in subjective
experience instead of objective truth.
We become the center of truth and absolute truth takes a back
seat to our experiential feelings or ideas.
The “ego” is the center of universe, although, for some
strange reason, it is blatantly ignorant that laws that it uses to
defend its own subjectivity are governing it.
This is as humorous as it is tragic.
All of this rises as a result of the ignorance of the basic laws
that govern the universe and are set in place by One that holds that
reality together. To deny
this would be self defeating. Most
people today are relativists (even those in the evangelical church).
They believe whatever they want so long as it makes them happy.
“You believe what you want and I believe what I want,” is
what they say. They really
do not mean that. Why? Because
a simple test in thinking brings their minds back to reality and
overthrows their relativism quickly.
Here is an example:
Man:
“I am a relativist.”
Philosopher:
“No you are not and I will prove it to you in less that 30 seconds.”
Man:
“Go ahead.”
Philosopher:
“Take your paycheck, fill out a deposit slip for one million dollars,
sign your check and have the teller deposit it at your bank for one
million.”
Man:
“They will not do that.”
Philosopher:
“Why?”
Man:
“Because it is not worth a million dollars.”
Philosopher:
“Why?”
Man:
“Because it is only worth $534.25”
Philosopher:
“What if you believed it was worth one million and told them?”
Man:
“That would not matter.”
Philosopher:
Why?”
Man:
“Just because I believe it does not make it so.”
Philosopher:
“So much for relativism.”
Man:
“Stop being Academic.”
Philosopher:
“You are being Academic. I
am being real.”
Not only do
people hate to think in the world, but they hate to think in the church
as well. Philosophy has
been ridiculed as something which takes a back seat to theology.
Logic is quite despised. Unfortunately,
many do not understand that to engage in theology, in any form, one must
apply the basic laws of logic that are often discussed and taught in the
realm of philosophy. When
“philosophy” is mentioned, this is not referring to the idea that
people are approaching truth in some subjective interpretation.
Oftentimes that is where philosophy is caricatured.
When people think of philosophers they think of Aristotle,
Socrates, and Plato “making up” the laws of the universe.
But mere speculation is not what is meant here.
Every Christian, for example, is a theologian and a philosopher.
Granted, most are poor theologians and poor philosophers because
they hate to think, but they are both nonetheless.
Philosophers, though, if they are really trying to be good
philosophers, are not attempting to create a model of the universe from
subjective experience. This
is usually what happens with false religions and cults based on some
personal experience (take for example Islam).
Rather, Philosophers are those who discover the realties already
set in motion in the universe. That
is why Philosophy and Theology go hand in hand, and one cannot be
divorced from the other. The
basic laws that govern intellectual thought are set in motion as
objective realties to be followed and discovered.
Even though they may be defined or discovered at one point in
time, every human being, everything that lives of the planet, and
everything that exists, is governed by these laws.
It is helpful, though, to know that there are those thinkers out
there who have helped us by systematizing these ideas in a worldview
that remains objective and true. Philosophy
and Logic are irreplaceable. As
Clark says, “It is not an arbitrary tautology, a useful framework
among others. Various
systems of cataloging books in libraries are possible, and several are
equally convenient. They
are all arbitrary. History
can be designated by 800 as easily as 500.
But there is no substitute for the law of non-contradiction.
If a dog is equivalent of not-dog, and if 2=3=4, not only do
zoology and mathematics disappear, Victor Huge and Johann Wolfgang
Goethe also disappear. These
two men are particularly appropriate examples, for they are both,
especially Goethe, romanticists. Even
so, without logic, Goethe could not have attacked the logic of John’s
Gospel…to repeat, even if it seem wearisome: Logic is fixed,
universal, necessary, and irreplaceable.
Irrationality contradicts the biblical teaching from beginning to
end. The God of Abraham,
Isaac, and Jacob is not insane.”
This writer
subscribes to Christianity. There
are a number of reasons why this is true.
The historical facts, the objective truth, the reality of the
spoken word, infallible, inerrant Biblical data, and the like, are all objective
factors that relate to the exclusivity of Christianity over and against
any other religion, cult, sect, or idea that has every existed.
This writer is convinced, based on objective truth, that
Christianity is true after looking over all the facts.
It is the historical Jesus he is after, and the truth behind the
propositions of the Bible. Others, though, do not share this opinion.
As a matter of fact, most do not.
However, the overall tenor of the “Christian worldview” is
diametrically opposed to everything else that has been written in terms
of an overall worldview. For
instance, one could not believe that Christianity is simply one part of
an overarching worldview that demonstrates parallelism with other
worldviews. But those who
would ascribe to its “likeness” to other religions have simply not
read the Biblical data surrounding the exclusivity and diametrical
opposition that Christianity holds over, above and against everything
else. The Biblical God is
very narrow-minded. The
Bible is very exclusive. Cults,
other world religions, and basically ignorant people, will attempt to
set the teachings of Christ and the teaching of another world religion
or cult side by side in order to demonstrate their compatibility.
Their attempt at this is unity, but it is done in a frivolous and
ignorant manner. They say
“Jesus was just a good teacher like Buddha or Mohammed.”
This kind of talk violates the very laws they use to talk in
general. Two opposing
viewpoints directly contradict one another cannot be bedfellows.
The teachings of Islam and the teachings of Christianity are
diametrically opposed, even on basic levels.
The teachings of Buddhism and the teachings of Christianity are
diametrically opposed, even on basic levels.
The teachings of Buddhism and Islam are diametrically opposed,
even on basic levels. Their
basic messages are different. Obviously
there are many who would like to simply overlook that, or attempt to
explain this radical discontinuity away by saying that the overall
message is similar. They
like to say that “the “god principle” out there sent different
messengers to teach us – Buddha, Mohamed and Jesus are just teachers
who understood the “god principle” and tried to communicate such
things to us. Those who
reject that idea are simply misrepresenting or reinterpreting the
reality that is out there.” Again,
they are simply not looking at the facts.
For instance, if Buddha says “all paths lead to heaven” and
Christ says “I am the way the truth and the life, no one comes to the
Father but by me” these two thoughts are diametrically opposed to one
another. They are not
compatible. Not even the
overall message of Buddhism (enlightenment), which is atheistic, is
compatible with the Christian worldview which is narrow-minded,
monotheistic, and Trinitarian. The
problem is, people do not like to study in order to debate well, and
they desire unity and conformity over reality.
But, this simply denies the basic laws that govern us all, no
matter what we believe. It
is the rejection, or attempted rejection of those basic laws, that
brings people to the point of “false unity” and not diversity when
it comes to setting standards.
To understand
that the laws that govern the universe and all thought affect
worldviews, we must first look at the rules of logic.
Certainly there are those who have scrapped the laws of logic.
They believe that nothing is knowable.
However, you will find them writing books about what is not
knowable. You will even
find them attempting to explain to you that nothing is knowable.
Like Immanuel Kant who said that the “other world” is not
knowable, but then tells us all about what we cannot know.
And if such a world did exist, and is not knowable, how would
Kant know anything about it at all, or even that it exists?
That is a contradiction. If
it were not knowable, how would anyone explain it?
The basic laws of logic stand firm even though many would desire
to do away with them. It is
the basic laws of logic that will divide varying viewpoints if people
simply engaged in rational thought, and not subjective lunacy.
Nor is it allowable to redefine the laws to suit one’s own
desires, as Hegel did. Instead
of being faced with the law of non-contradiction, he redefined it, and
entered into contradiction saying such “synthesis” is acceptable.
However, Hegel’s dialectic does not last long under scrutiny.
Thesis and Antithesis are opposites.
They are no complimentary. Hegel
said we should rise above that. But
to do so was to deny the basic laws of thought.
He took the two (thesis and antithesis) and created a synthesis.
Yet, the first year student of logic should be able to see right
through that.
Logic consists
of a set of basic principles called “first principles.” These first principles are fundamental to our knowing
anything. First principles
are the foundation of knowledge. If
we do not ascribe to these basic principles then communication is
impossible. You would never
understand a word of this article if you did not engage in exercise the
basic principles of logic. It
would be an “impossibility” to do so.
But since you have considered what has been said thus far and
continue to read, you have engaged in the basic laws and seem to be
following what has been so far (hopefully so).
The very fact that you agree or disagree with has been said
demonstrates the reality and truth, the objective absolute, that you are
engaged in exercising at least four of the basic principles of logic,
even if you desire to vigorously deny those laws.
In denying them you actually uphold them explicitly and
implicitly.
There
are a number of basic laws that govern the universe as basic principles.
They have been discovered not fabricated. Four of these are worthy of “introductory” notation: the
law of non-contradiction (B is not non-B), the law of identity (B is B),
the law of excluded middle (either B or non-B), and the law of rational
inference. Without adhering
to these laws of logic, it is impossible to think rightly.
Logic really means, putting your thoughts in order. Without these laws it would be impossible to put your
thoughts in order. Order
would be irrelevant. Meaning
would be irrelevant. Communication
would cease. We would all
become some sort of solipsist. Now
you can grab your dictionary and look that word up.
What
does the law of non-contradiction teach?
The law of
non-contradiction teaches us the following: B cannot be both B
and non-B at the same time and in the same relationship.
Gordon Clark defines it this way, “The same attribute cannot
attach and not attach to the same thing in the same respect.”
For instance, a watch cannot be both a watch and tree at the same
time and in the same relationship.
It must be one or the other at any given time.
It would be a contradiction to be otherwise.
You cannot say, “I sorta believe the law of
non-contradiction.” You
either believe it or you enter into the absurd.
Someone who does not believe the law of non-contradiction does
not believe the opposite of his statement, which would immediately be
self-defeating. For
instance, when someone says, “all religions are the same” they
certainly do not mean “all religions are not the same” at the same
time and in the same relationship.
That would be self-defeating.
Your next-door neighbor could not be both a man and a tree at the
same time and in the same relationship.
He could be an actor in a play that is playing a tree, but that
is not the same as actually being a man and a real tree at the same time
and in the same relationship given the accidens and description of a man
and a tree. Human beings
are different than trees. To
say otherwise is to enter into absurdity.
What
does the law of identity teach? The law
of identity teaches the following: When someone says a watch is a
watch, they mean it is a watch. It
cannot be anything other than a watch (wristwatch, grandfather, etc.).
It cannot be a planet or a cup of juice.
It is a watch. If it
was not, then it would immediately lead us into the irrational.
What we say we mean, which is why defining our terms on any given
debate is vitally important. We
want to identify exactly what we mean and how we mean it in order to
state whatever it is we are stating in a rational manner.
Without this, you could say “I am going to the beach,” but
your friend could think that “you are going to the theater.”
The law of identity will not allow us to enter into the
irrational, especially upon the foundation of defining our terms
adequately – something many today have a very hard time doing.
What does the law
of the excluded middle teach? The law of excluded middle teaches the
following: Something is either B or non-B.
This means that something has to be one thing or another.
It cannot be both. It cannot be in the middle (a mix) or it would
be something else than what it is.
This is what Hegel denied ferociously, but failed in his attempts
to make his ideas work because no one needed to believe him.
What
does the law of rational inference teach? The law of rational inference may
be easily understood in this syllogism: Major premise: all men are
mortal. Minor premise:
Socrates is a man. Conclusion:
Socrates is mortal. You may
have heard this before. We
do have to keep in mind that we are finite and may not necessarily have
all the information we may need to completely understand the
propositions. That is where
our studiousness must be through in any definition of description if
what we are saying or purporting. Socrates may be a fictional character making the syllogism
untrue. But in light of the
fact that we know we are not omniscient, and all things being equal, we
should be able to infer the logical structure of the syllogism with
reasonable assurance that we have inferred correctly.
But this may only be inferred if the other first principle are
also adhered to. All of
them work together. The law
of rational inference teaches that if premise A and B are valid, then,
by what Martin Luther called resistless logic, that conclusion C
follows. It monitors
inferences between premises and conclusions, like a referee who blows
the whistle when there is a fault in the game.
When the players are off sides the referee blows the whistle on
them. When the syllogisms
do not compute we must necessarily
call them fallacies. Without
these concepts, speech and communication would be impossible.
God is as much bound to these as we are since they originated
with Him. We simply
discover these truths as we attempt to communicate.
They are objective realties set over us to govern us.
As Ronald Nash states, “Inconsistency is always a sign of
error, and the charge of inconsistency should be taken seriously.”
Unfortunately people are unaware of this, and when made aware,
they do not take it seriously. They revel in blatant contradiction.
Epistemology,
or the basis of knowing, is what this article is basically setting down.
How do we know? Many
have heard what Descartes’ said, “I think therefore I am.”
He believed in a certain kind of rationalism that may be
summarized in this statement, “some human knowledge does not arise
from sense experience.” This
is over an against Empiricism which teaches, “all human knowledge
arises from sense experience.” However,
Descartes’, and others like him, have rejected the idea that the law
of non-contradiction limits God. He
believed an omnipotent being, like God, someone wholly “other” than
human beings which are dependent upon basic laws, can do anything,
including violate the law of non-contradiction.
He believed that the omnipotent Being could have created a world
where 2 + 2 = 4 is not true. Obviously, this does contradict the law of
non-contradiction. The
problem is, many today are following Descartes into absurdity.
Why? First, it is
impossible to argue with Descartes, and consequently for him to argue
with anyone else, if he believes the law of non-contradiction is
breakable. Not only is he violating the law, but he is also violating
the basic nature of God, which he claimed could be found and upheld in
the Bible. Second, the
Bible says there are things God cannot do; i.e. lie, sin, etc.
For example, as those who would say “Can God create a rock so
big that he cannot lift it?” This
question is blatant denial of the law of non-contradiction. It is not a rational question to make since it purports the
possibly of an impossible action. It
is self-defeating. It is
the same as asking, “Is there such a thing as a square circle?” The answer is no, in any age, in any dimension, and in any
state of being. Rather than
adhering to Descartes’ fallacious and deviant rationalism, it may be
more helpful to assist Thomas Aquinas in his statement, “I am
therefore I think.” This
is foundationalism which adheres to the basic laws of logic.
If we are to follow those like Descartes (and many today who
follow sects and cults who teach the same thing Descartes did) then we
will enter into the realm where nothing is really significant.
If Descartes is right, if those who say Christianity is just like
everything else out there, violating the law of non-contradiction, then
anything goes. In reality,
though, “anything goes” really translates into the unintelligible.
God would not only be responsible for creating situations he cannot
handle because he is not bound to consistency in the basic laws, but he
can also handle situations which he cannot handle.
That would be “consistent” [sic] with what some violating the
law of non-contradiction would believe.
But again, how could they believe it, for every time a sentence
is written to define their belief in violating the law, or allowing such
a violation, we could enter in to reductio ad absurdum infinitum.
Where
do these laws originate? They
originate in the mind of God. They
do not originate in us. We
are endowed with a priori ideas, innate ideas and concepts, not
actual knowledge, that give us the tools to adhere to first principles.
For instance, though we take for granted the first principles, we
must discover them, or learn them, in a systematized fashion. Yet, even though we discover or learn them, we still have
been given the proper tools of thinking and certain innate concepts that
allow us to function in thought in regard to the first principles.
Take for example the idea of “sameness.”
The empiricist will take two identical rods and place them
side-by-side on a table. He
will study them, measure them, and empirically observe all that is
observable about them. However,
if he did not have the innate form of “sameness” a priori, he
would never come to the conclusion of the “sameness” of the rods, or
their likeness because he would never be able to create, or fabricate
the concept of “sameness.”
Certain innate ideas allow us to look at two relatively
“same” rods made of wood, one foot long, one inch thick, the same
color, etc., and we conclude they are the same because we have the concept
of sameness innately implanted in our minds.
But the laws of logic are not innate. If they were, everyone would be on the same page about truth
and error. If we were all
endowed with the unmistakable tool of the law innately, then we would
never violate it. However,
as history demonstrates, people have consistently taught inconsistent
ideas (like Descartes, Kant, Hegel, etc.).
Thought we are not filled with logical syllogisms at birth, logic
is an important part of the way we should think.
Gordon Clark said, “Logic is not psychology.
It does not describe what people think or how they usually reach
conclusions; it describes how they ought to think if they wish to reason
correctly…logic concerns all thought; it is fundamental to all
disciplines, from agriculture to astronautics.
There are not several kinds of logic, one for philosophy and one
for religion; but the same rules of thought that apply in politics, for
example, apply also in chemistry.”
Why
is logic, or say for example, the law of non-contradiction, a law of
being and not a law of thought? This
is because the ontological form is basic to the foundational truth.
All the logic that comes from this basic form is just that, a
derivative of it, but not “it” itself.
Thinking is one thing, using laws to think is also one thing, but
the foundation of the law, or its ontological status is something quite
different. Someone may rightly say, “I am, and so I think.”
Thinking does not prove reality though.
Thinking, and the thoughts derived from that act, must conform to
reality by thinking rightly.
We are only thinking afterthoughts, not original thoughts.
They may be original to us, but even moving through a cursory
glance of philosophical history proves quite the opposite.
We could think we are disembodied brains on alpha Centauri where
mad scientists are pricking the brain and we are simply dreaming.
Are we in the Matrix here? Not
at all.
Worldviews
are exceedingly important. They
are the final, (or at least at the time), the current perception we have
of the universe. There are
agnostics, rationalists, fideists, experientialists, evidentialists,
pragmatists, deists, pantheists, atheists, theists, and a host of
combinations in between. The reality, though, is that they cannot all be right.
No one thinking in any of those camps would admit to such.
That is why they hold a particular position, and that there are
different positions. Even
the New Agers who desire to combine us all into some relative “god
consciousness” do not agree, if they are thinking, with all the other
forms of thought and philosophy out there today.
Many New Agers do not believe what other New Agers purport in
many instances. They would
like to think they do, but a brief excerpt of this kind of thinking
demonstrates the nonsense of their unification. For instance, a New Ager was asked, “Do you believe in
absolute truth?” Her
answer was, “Yes.” Then,
into the conversation she said, “My opinion is what counts.
It is true for me.” This
kind of thinking (non-thinking) is what demonstrates the world’s
ineptness to think rationally at all today.
She had not thought about everything that needed to be thought
about. She did not consider
everything that needed to be considered.
She stopped short. She agreed that absolute truth exists, but only when it
suited her. Otherwise, her
entire worldview would fall to the ground.
This is usually the principle reason why basic laws of first
principles are rejected – they do not fit into the scheme of the
relative mindset of a given individual.
Today’s
worldviews have a common element – they are often personal opinion
based on subjectivity. They
are not objective truth and reality learned.
They are “new realities” (or, rather, fantasies)
fabricated and passed of as somehow special.
Many of the celebrity cults and mythos ideas today are such
concepts built on personal opinion and are unprovable (conveniently so).
People are not applying the basic laws, the first principles of
thinking and knowing, rather, they are depreciating from actually
thinking through their worldview, and accepting their own personal
relativistic opinion about “x”, whatever “x” is.
They deny the basic laws that they take for granted in every
other area of life because they do not want to submit, or be submitted,
to an all powerful God who judges man’s wickedness and deals justice.
Objective truth
is that which every creature must abide in and by. Most of the time they do this without really
“practically” seeing that they are doing it.
For instance, when you sat down in your chair to read this
article on “first principles” you assumed the words used in this
article meant what they said. You
followed a particular line of thinking to conclusions, based on
propositions. Some of you
may think the propositions are wrong.
Even so, you prove that you did not have to sit down and think
about first principles to put logic and thought into practice.
You do that because you have innate concepts and the tools of the
English language (or any language) to communicate effectively, and to be
communicated to in a manner in which you understand.
We use logic everyday of our lives.
You would not be able to get up in the morning and walk across
the floor to the fridge in order to get a drink of orange juice without
it.
Being
a Christian, many wonder how one can conjoin theology and philosophy.
Many do not like the idea. Hopefully
this has been briefly, but adequately, answered above.
Is there biblical proof, though, that the two are enjoined?
Does the judgment concerning the laws of logic belong to reason,
and does the Bible say so? The
Bible assumes logic on every page.
You may have heard “why are the “therefores” there for?”
The answer is that the Bible very much assumes logical thought.
Thus, therefore, wherefore, so – all of them assume logic.
All of them assume you are following an argument.
Even the Son of God, the omnipotent Creator of the universe, is
called the logic of God (John 1:1).
You can check for yourself passages such as Matthew 7:15, Matthew
16:6; Colossians 2:8, 1 Thessalonians 5:21, Hebrews 5:14 and the like.
All of them attest to this.
They all attest to right thinking and the law of judgment
concerning “contradiction.” If
you are not thinking rightly, how will it ever be that you could attest
to propositional truth of any kind?
It
is vital to make the distinction that logic is not only from God, but is
God as well. Everywhere the Scriptures testify to the truth that God is
truth and communicates truth.
That is why those who hold to the inspiration of the Bible (it
being inerrant and infallible) is the only consistent position,
logically speaking, because of this axiom that God is truth. The axiom does not mean that God is a sentence on the page, a
mere proposition, but that the truth behind such a “truism” whatever
that may be, ultimately rests in the mind of God.
Jesus Christ is the perfection embodiment of God.
He is God, and thus, He conveys the truth of God.
The law of non-contradiction is not subservient to God.
It is something God is (non-contradictory) and cannot but be.
God’s mind is in a constant state of knowing. He does not think progressively as we do.
Logic and the laws of logic, the first principles, are not
something God thinks about or through, but something He knows as true.
They are part of His mind because He knows them in a state of
“eternal now.” When we are born, we come to discover them, or rather, their
definitions, so we may continue to think rightly. There was never a time when God failed to know logic and the
first principles, or anything for that matter.
God does not forget. He
knows. He cannot forget.
To forget, or to progressively think, would be to destroy the
“goodness” of God’s mind, the logic of God.
When we read that “Logic” was “in the beginning”
“with” God, that does not mean “God was not Logic.”
God is logic. As Gordon Clark rightly said, “God is not passive or
potential substratum; he is actuality or activity.
This is the philosophical terminology to express the Biblical
idea that God is a living God.”
God and logic are the one and the same first principles.
To deny this is to deny God altogether.
For those who desire to delve into a these laws more explicitly, Geisler has a basic paragraph of “principles of reality.”
|
Being Is
|
(B is)
|
=
|
The Principle of
Existence
|
|
Being Is Being
|
(B is B)
|
=
|
The Principle of
Identity
|
|
Being is Not
Nonbeing
|
(B is Not Non-B)
|
=
|
The Principle of
Noncontradiction
|
|
Either Being or
Nonbeing
|
(Either B or
Non-B)
|
=
|
The Principle of
Excluded Middle
|
|
Nonbeing Cannot
Cause Being
|
(Non-B>B)
|
=
|
The Principle of
Causality
|
|
Contingent Being
Cannot Cause Contingent Being
|
(Bc>Bc)
|
=
|
The Principle of
Contingency (or Dependency)
|
|
Only Necessary
Being Can Cause a Contingent Being
|
(Bn->Bc)
|
=
|
|
|
Necessary Being
Cannot Cause a Necessary Being
|
(Bn>Bn)
|
=
|
The Negative
Principle of Modality
|
|
Every Contingent
Being is Caused by a Necessary being
|
(Bn->Bc)
|
=
|
The Principle of
Existential Causality
|
|
Necessary Being
Exists
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(Bn exists)
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=
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Contingent Being
Exists
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(Bc exists)
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=
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Necessary Being
is similar to similar Contingent Being(s) it causes
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(Bn-similar->Bc)
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=
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In
setting forth the basic laws above, included in them are the first
principles we have been discussing in brief, Geisler formulates the
following syllogism:
1.
Something exists (e.g. I do) (no. 1)
2.
I am a contingent being (no. 11)
3.
Nothing can cause something (no. 5)
4.
Only a necessary being can cause a contingent being (no. 7)
5.
Therefore, I am caused to exist by a necessary being (follows
from nos. 1-4)
6.
But I am personal, rational, and moral kind of being (since I
engage in these kinds of activates).
7.
Therefore, this Necessary Being must be a personal, rational and
moral kind of being, since I am similar to him by the principle of
analogy (no. 12)
8.
But a Necessary Being cannot be contingent (i.e. not necessary)
in its being which would be a contradiction (no. 3)
9.
Therefore, this Necessary being is personal, rational and moral
in a necessary way, not in a contingent way.
10.
This Necessary Being is also eternal, uncaused, unchanging,
unlimited, and one, since a Necessary being cannot come to be, be caused
by another, undergo change, be limited by any possibility of what it
could be (a Necessary Being has no other possibility to be other than it
is), or to be more than one Being (since there cannot be two infinite
beings).
11.
Therefore, one necessary, eternal, uncaused, unlimited
(=infinite), rational, personal, and moral being exists.
12.
Such a being is appropriately called “God" in the theistic
sense, because he possesses all the essential characteristics of a
theistic God.
13.
Therefore, the theistic God exists.
From
a simple syllogism, based on the laws of first principles, we are able
to come to conclusions based on how those principles direct us to think,
and how they govern us in the real world. As
Geisler says, “Given these principles of being, one can know many
things about reality; they relate thought and thing.
Knowing is based in being. By
these principles one can even prove the existence of God.”
To deny this is to deny the principles themselves and to enter
into absurdity. You would
never be able to say anything, or think anything. Your communication would be irrelevant because words could
mean anything you wanted them to mean, and at the same time, they could
mean anything to the person reading them.
For instance, the sentence, “John ran up the hill,” could
mean what it says to the one who wrote it, but then the reader could say
that it meant “Put strawberry jelly on peanut butter.”
Why? Because to do
away with the Law of Non-contradiction is to do away with the guidelines
for what “things” mean.
When
we do away with the first principles or basic laws, we wind up falling
into error. These errors in
“logic” are called “fallacies.”
There are a number of logical fallacies that come into play once
the basic laws of logic are overturned, especially in dealing with first
principles. Here are the
basic fallacies: the fallacies of composition (equivocations,
amphibology, etc.), petitio principi (begging the question); ad
hominem (appealing to character (cf. abusive ad hominem)), ignoratio
elenchi (ignorance of the refutation), argumentum ad
misericordiam (c.g. “Who will take care of my family if you kill
me?”), ad populum (what is popular or accepted is right), ad
verecundiam (the appeal to authority), non causa pro causa (a
false cause), complex question (“have you stopped beating your
wife?”), post hoc ergo propter hoc (after this, therefore
because of this), ad baculum (do this or else), fallacy of
accident ( that which is irrelevant is argued instead of the central
idea or crux issue), a fortiori (from the lesser to the greater),
or the classic which most people use today for just about everything - ad
ignorantiam (argument from ignorance or silence).
The Bible is not contradictory. It is God’s word, and God is not contradictory.
But to bring this point home, and demonstrate the error by which
people get “into trouble” in reveling in contradiction, there is the
lesson of the man of God in the Bible, and many others, that demonstrate
this truth. If you recall,
there was a man of God in 1 Kings 13 that was sent to king Jeroboam to
speak against him. One of
the conditions of fulfilling this task was when the prophet, or man of
God, said, “"For so it
was commanded me by the word of the LORD, saying, 'You shall not eat
bread, nor drink water, nor return by the same way you came.' "
These were the stipulations.
The man of God was not to do 3 things: 1) eat bread, 2) drink
water, and 3) or return the way he came.
There are reasons for this, but for the point at hand, the man of
God make a logic fallacy and paid dearly for it.
After giving the message he was to bring to the king, he left,
and was met by a prophet who helped him with saddling his donkey.
This prophet wanted the man of God to eat with him, and spend
some time with him. The
text says, “He said to him, "I too am a prophet as you are, and
an angel spoke to me by the word of the LORD, saying, 'Bring him back
with you to your house, that he may eat bread and drink water.' "
(He was lying to him).” So
the man of God, as the text says, “went back with him, and ate bread
in his house, and drank water.” The
man of God reveled in contradiction.
God had already said that he was not to do this, but then the
“prophet” said God told him that it was okay to do it.
That is a contradiction, and the man of God should have caught
it. While they were eating
at the table, God speaks through this lying prophet, and says, “he
cried out to the man of God who came from Judah, saying, "Thus says
the LORD: 'Because you have disobeyed the word of the LORD, and have not
kept the commandment which the LORD your God commanded you, 'but you
came back, ate bread, and drank water in the place of which the Lord
said to you, "Eat no bread and drink no water," your corpse
shall not come to the tomb of your fathers.' "
God does not honor this man of God because of his logical
fallacy. Instead, as the
narrative goes, God kills the man of God for disobedience.
The text reads, “When he was gone, a lion met him on the road
and killed him. And his corpse was thrown on the road, and the donkey
stood by it. The lion also stood by the corpse.”
Logical fallacies will not always get one into such trouble as
this, but it is imperative to know that even God does not like those who
listen to contradictions. Even
God upholds first principles. God
did not say one thing and then directly contradict what He said at the
same time and in the same relationship.
The man of God’s theology was faulty.
His ideas about truth in this situation were deviant.
He should have stopped to think that God would not have told him
one thing directly, and then contradict what he say shortly thereafter
through someone else. This
incident cost the man of God his life.
People
cannot violate the basic principles of logic.
God is logic. He is
perfect logic. He sent His
Son, the Logos, the Logic of God, to come to us and reveal
the Father to us. We cannot
revel in contradiction. We
must uphold what God has sent as His perfect word.
For without the basics of first principles to hold onto, we will
all continually enter into fallacies that could have dire affects on our
lives, and our theology. In
neither is God pleased. He
never gives us the right to be wrong about anything.
He is not a God of error, but of truth, and He is as bound to
these first principles as we are. May
we continually endeavor to be more careful than the man of God in our
theology and our lives around the words of God.
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