Critical Reasoning
with Jim Leffel
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Week Four: Constructive Uses of Critical Reasoning Skills

Inductive logic

What is "inductive" logic? If the premises are presumed true, the conclusion probably follows

Flu vaccines have an 80% rate of effectiveness

George got a flu vaccine

George will not get the flu

Strength/Weakness

 

Cogent/Uncogent

 

Uses of inductive logic:

Scientific explanations

Design analogy

Design hypothesis and probability

Historical explanations

Application: the resurrection of Christ

Hypotheses: Jesus died, was buried and resurrected on the third day

Evidence:

Jesus died

Account of Jesus’ death consistent with known Roman procedure

Few question that Jesus lived and died

Roman historians attest to the historical Jesus: Tacitus and Josephus

Empty tomb (Mark 16)

Burial account is consistent with known Jewish tradition

Women’s testimony to the empty tomb shows early Christians were more interested in historical fact than compelling arguments

Impossible to teach the resurrection without the empty tomb

Early Jewish polemic against the resurrection claim presumes an empty tomb (Matthew 28:15)

Alternative hypothesis: Conspiracy theory

Psychologically improbable that the body was stolen, because the disciples did not anticipate this event prior to its occurrence.

Historically/theologically unlikely that the body was stolen, since Jews did not anticipate a killed and resurrected messiah

"Ancient Judaism did not know of an anticipated resurrection as an event of history. Nowhere does one find in the literature anything comparable to the resurrection of Jesus. In no place in the late Judaic literature does it concern a resurrection as an event of history." Joachim Jeremias

Resurrection appearances of Jesus

Appearance to women indicates historicity

Appearance to disciples unexpected and not initially believed

Appearance to Paul certainly not expected

Presence of 500 witnesses (I Corinthians 15:6)

Alternative hypothesis: legend theory

Resurrection was the central and earliest Christian belief

Insufficient time existed to transform Jesus story into resurrection legend

Gospels and other New Testament documents are factual in nature and consistent with the claim to have been written by eye witnesses within 30+ years of the event

Resurrection knows no parallels to Jewish or pagan religion

Disciples testimony of the resurrection

Willingness to die for their testimony lends substantial authenticity

Something extraordinary must explain the origin of the early church

Alternative hypothesis: hallucination theory

Disciples lacked the psychological willingness to believe the resurrection

Witnesses were too diverse and numerous to make hallucination plausible

Conclusion: the weight of evidence supports resurrection hypothesis

Deductive logic

What is "deductive logic"? If the premises are presumed true, the conclusion must follow

Bruno is a dog

All dogs slobber

Bruno slobbers

Validity/Invalidity

 

Sound/Unsound

 

Samples of deductive argument forms (Moreland, 115):

Modus Ponens: Modus Tollens: Disjunction: Hypothetical Syllogism:
If P then Q If P then Q Either P or Q If A then B
P not Q not P If B then C
Therefore Q Therefore not P Therefore Q If A then C

 

Example of deductive logic: C.S. Lewis, Mere Christianity

If morality has meaning, then it is objective

If morality is objective, then God must exist

If morality has meaning, then God must exist

Morality has meaning

God exists

Logic and biblical interpretation

Biblical authors frequently appeal to evidence and argument in contrast to other sacred texts that merely make assertions

Example: 1 Corinthians 15:12-19:

12. "Now if Christ is preached, that He has been raised from the dead, how do some among you say that there is no resurrection of the dead? 13. But if there is no resurrection of the dead, not even Christ has been raised; 14. and if Christ has not been raised, then our preaching is vain, your faith also is vain. 15. Moreover we are even found to be false witnesses of god, because we witnessed against God that He raised Christ, whom He did not raise, if in fact the dead are not raised. 16. For if the dead are not raised, not even Christ has been raised; 17. And if Christ has not been raised, your faith is worthless; you are still in your sins. 18. Then those also who have fallen asleep in Christ have perished. 19. If we have hoped in Christ in this life only, we are of all men most to be pitied."

Structure of the argument:

Either a resurrection from the dead or no resurrection from the dead (12)

If no resurrection, then Christ did not resurrect

If Christ did not raise, then

Faith in him is vain (14)

Apostles gave false witness (15, cf. 1-11)

You are still in your sin (17)

No hope beyond the grave (18)

Christians are pathetic (19)

Unstated premise: Christ did resurrect (see 15:1-11)

Conclusion: there is a resurrection of Christian believers

Identifying logical structure in interpretation

Why it’s important to understand the thought development and logical flow of a passage

A note on "inductive" study

Importance of background context of author and audience—why is the text being written; what do we know about author and audience (and others)?

Importance of knowing general history

Careful examination of each paragraph:

Theological significance of terms and concepts

How the paragraph fits into the wider purposes of the text

What is the original reader to do with the information?

What do I do with the information?

Identifying structure: A first step in paragraph analysis—the skeleton

Claim (conclusion, thesis) of the passage:

Check out key "connective" words: Thus, therefore, so, consequently…

Imperatives usually follow from indicatives

Warrant (reason given in support of the claim)

Check out key "connective" words: For, because, moreover, and…

Indicatives are usually given as warrant for imperatives

Example: Romans 13:1,2:

Let every person be in subject in to the governing authorities. For there is no authority except from god, and those which exist are established by God. Therefore he who resists authority has opposed the ordinance of God…"

Example: Romans 13:8-10:

Owe nothing to anyone except to love one another; for he who loves his neighbor has fulfilled the law. For this, ‘You shall not commit adultery, you shall not murder, you shall not steal, you shall not covet,’ and if there is any other commandment, it is summed up in this saying, ‘You shall love your neighbor as yourself.’ Love does no wrong to a neighbor; love therefore is the fulfillment of the law.

Example: 2 Timothy 1:3-7:

I thank God, whom I serve with a clear conscience the way my forefathers did, as I constantly remember you in my prayers night and day, longing to see you, even as I recall your tears, so that I may be filled with joy. For I am mindful of the sincere faith within you, which first dwelt in your grandmother Lois, and your mother Eunice, and I am sure that it is in you as well. For this reason, I remind you to kindle afresh the gift of God which is in you through the laying on of my hands. For God has not given us a spirit of timidity, but of power and love and discipline.

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