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How to Study the Bible
DBS HSB #058
The Hermeneutics Of Logic
Today's Lesson:
The Hermeneutics Of Logic
Logic is by definition the rules of non-contradiction and correct reasoning. Even though attempts to use logic throughout the history of the church have gotten people into trouble and caused divisions, nevertheless, it is a valuable tool for our understanding.
Deductive Reasoning occurs when a necessary conclusion is drawn from one or more statements. For the conclusion to be correct, both of the statements have to be correct. For example, from the statements, "All life requires water," and "There is no water on the moon," one can deduct that, "there is no life on the moon." The truth of the deductive conclusion depends on the truth of the statements from which it is drawn. A deduction can prove only that if certain things are true, then certain things will follow.
Inductive Reasoning involves the observance of all possible cases and then assumes it is true in the other cases that have not been tested. Needless to say, this type of reasoning is much less certain than deductive reasoning. For example, the observation that heat expands iron, gold and platinum might lead one to believe that heat expands all metals. Each metal must be tested though in order to be certain.
The expression of a logical argument in a formal way is called a "Syllogism." Logic is divided into Concepts, Propositions and Arguments.
Defined words are used to define a concept. Concepts are derived by words that are used to form further definitions. Propositions declare what we intend to prove or disprove. They are statements that our concepts exist in a certain way. Propositions must be stated in terms of true or false. Commands, exclamations and questions do not and cannot express propositions. Propositions are concerned with the relationship between concepts. They can be wrong either by designation or they can ascribe to the subject what does not belong to the subject. For example, to say that, "World War II killed 300 million people," and then try and to make a deduction from a comparison with the statement that, "Noah took two of each animal into the ark," will not be fruitful. Both statements may be correct but have no connection to each other. We can compare propositions only when they contain the same words.
Any inferences that we draw from a proposition can be valid only if the proposition is true. If we consider the proposition, "All snakes are poisonous," there are other inferences we can consider such as, "No snakes are poisonous," "Some snakes are poisonous," and, "Some snakes are not poisonous." When the proposition is false though, the truth of the comparable propositions or inferences is not determinable. When we know the truth and falsity of a given proposition, we can determine the truth and falsity of the inferences
Contradictions are those comparisons that communicate when one thing is true then another is false. For example, if it is true that we are saved by grace through faith, not works, then for one to say that we are saved by works is a contradiction to truth. If one statement is indeed true then other is false. Both cannot be true.
A Superimplication exists when one statement is true and another statement implied from it is also true. From the universal you can validly infer the specific but from the specific you cannot validly infer the universal. For example if "whoever believes in Jesus Christ shall be saved (John 3:16), is true (and thank God it is), then since I have believed in Jesus Christ it is validly inferred that I am saved.
A Complementary Statement occurs when we say the same thing in a different way. If we say that, "very well-educated student of history studies Greek," we can also validly say that, "no well-educated student of history fails to study Greek." The statements do not contradict but are simply restated.
The reasons that are given for one's deductions and the validity of those deductions are called, "Arguments." Conclusions are reached using reasoning. They are found throughout God's word and they are introduced by many different words such as therefore, so, as a result and the like.
The "most important term" of an argument is called the "Predicate." The "minor term" of the argument is called the "Subject" and what appears in both arguments is called the "middle term." For example, take the statements.
1- Whatever is constitutional is just.
2- Whatever is decided by the Supreme Court is constitutional.
The conclusion would be, "Therefore, whatever is decided by the Supreme Court is just."
In this example, "Whatever is just" is the predicate. 'Whatever is constitutional is the middle term which does not appear in the conclusion and, "Decisions reached" is the subject. The Conclusion is a mediate inference, which is drawn around the major and minor terms based on their relationship to the middle term.
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Today's Questions:
1- What is Logic?
2- Why is it important?
3- What is the difference between deductive and inductive reasoning?
4- Which one is inherently the most accurate?
5- When drawing a conclusion from two propositions what is imperative for the conclusion to indeed be truth?
Remember, send your answers to (PastorJeffLilley@Gmail.com), I will grade them and after the study is finished, those of you with a passing grade will receive a certificate from JJL Ministries.
Ask any questions you may have below in the comments.
Abundant Blessings
Pastor Jeff
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