Introduction to Critical Thinking by Nalaka Gamage Aurora Computer Studies (auoracs.lk ) Aurora Computer Studies 1
1Aurora Computer Studies
Introduction to Critical Thinking
by Nalaka Gamage
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Agenda• What is critical thinking?• How to practice critical thinking?
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What is critical thinking?
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What is critical thinking?
• Critical thinking is the ability to think clearly and rationally about what to do or what to believe.
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What is not critical thinking?
• Mere criticize everything• Thinking a lot
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What hinder critical thinking
• Lack of awareness/practice of rational (logical) thinkingo Those ignorant of how to think critically
• Personal biasnesso Some people deliberately avoid critical thinking on
situations where out come may put him in unfavorable situation
• Inherited opinion/Cultural biasnesso Most of the people die with the opinions they inherit from
parents and close oneso Example : More than 80% of those who born Islam will die
as Islam
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What hinder critical thinking
• Intellectual arroganceo Arrogance due to one’s education level or
qualifications refusing to think critically in open situations
• Intellectual lazinesso Just lazy to think critically
• Black & white thinkingo Those who think in one of the extremes without
considering all the intermediate possibilities
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Attribute of critical thinkers
• Rational• Think extra yard than others• Demand reasoning• Open minded• Ask right questions
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Attribute of critical thinkers (con.)
• Do not take anything for granted• Do not jump into conclusions• Do not fear challenging
politically/culturally dominant fallacies
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How to practice critical thinking?
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Critical thinking steps
Analyze
Reasoning
EvaluateValidate
Conclude
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Use formal logic Use scientific knowledge Look for real world examples
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How to do critical thinking?
1. Do careful, intentional thinking2. Analyze & evaluate each piece of the
argumento Identify facts and opinionso Evaluate the opinions
3. Use of reason or logic to check the validity4. Check truthfulness of each fact to see if it
is a sound argument5. Application/test with real world scenarios
to verify
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Fact vs. opinion
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Fact vs. OpinionFact • A statement of fact can be proved TRUE
or FALSE using standard knowledgeo An observable or obvious thingo It has been proved by scientific experimentationo Can be deduced by formal logic
• Exampleo Earth is roundo Smoking causes cancero There is a force towards the earth
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Fact vs. OpinionOpinion• A statement of opinion is what someone
believes or thinkso He must provide enough evidence to prove his opinion
• Called burden of proofo We have to test if that opinion is valid or noto If we do not accept the opinion we must show the fault in the
opinion• We do not have to prove that opinion is false
o We may or may not provide alternative opinion• Example
o There is life after deatho Mr. X is a better leader than Mr. Y
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Reasoning techniques
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Reasoning techniques• Deductive Reasoning
o Determines whether the truth of a conclusion can be determined for that rule, based solely on the truth of the premises
o The Best approach • Inductive Reasoning
o Attempts to support a determination of the ruleo Use with care
• Abductive Reasoningo a.k.a. inference to the best explanation, selects a cogent set
of preconditionso Use with care
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Deductive reasoning
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Deductive Reasoning • Derive logically necessary conclusion
from given premises/ assumptionso Determines whether the truth of a conclusion can be
determined for that rule, based solely on the truth of the premises
• Mathematical logic and philosophical logic are commonly associated with this type of reasoning.
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How to come to judgements?
• Using formal logico Example 1:
X > 4y > xTherefore y >4
o Example 2: "When it rains, things outside get wet.” “The grass is outside.” Therefore, when it rains, the grass gets wet.
• Using scientific knowledgeo Example:
Removing oxygen will extinguish fireCovering with blanket remove/block oxygenTherefore, Covering with blanket will extinguish the fire
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What is an argument?
• An argument is set of assumptions/ premises followed by a conclusion
• Example:Socrates is a philosopher. (Assumption)All philosophers like thinking. (Assumption)Therefore Socrates likes thinking. (Conclusion)
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Outcome of an argument
Argument
Valid
Sound Unsound
Invalid
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What is a valid argument?• An argument is said to be valid if the
conclusion is logically true, whenever all the assumptions/premises are true
• Exampleo Valid argument
If there is an earthquake, the detector will send a message.No message has been sent.So there was no earthquake.
o Invalid argumentWhenever Anil is here, Kumar is also here.Anil is not here.So Kumar is not here.
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What is sound argument?
• If an argument is valid and all the assumptions are found/proved to be correct, then the argument is said to be sound.
• We must accept only the sound arguments!
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Valid & sound deductive argument - example
If husband is the president, then she is the first lady.
Barack is President of the USA.Michelle is the wife of Barack. => Therefore, Michelle is First
Lady.This argument is valid & sound.
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Valid but not sound deductive argument -
exampleIf the moon is made of green cheese,
then astronauts can eat moon rocks.
The moon is made of green cheese.=> Therefore, astronauts can eat
moon rocks.This argument is valid but unsound.
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Invalid deductive argument - example
If Abraham Lincoln died of cancer, then Lincoln is dead today.
Lincoln is dead today.=> Therefore, Abraham Lincoln
died of cancer.(This argument is invalid.)
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Inductive reasoning
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Inductive Reasoning • Use patterns of concrete instances to
arrive at a conclusion• Attempts to support a determination of
the rule• It hypothesizes a rule after numerous
examples are taken to be a conclusion that follows from a precondition in terms of such a ruleo It’s a way of generalization through observation and
careful systematic analysis
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How to come to judgements?
• By analyzing results of empirical data using concepts of statistics and probabilityo Above 50% chance: Strong Argumento 50% or Less chance: Weak Argument
• Is the value considerably higher than average for a sample with particular feature
• Example: "The grass got wet numerous times when it rained, therefore: the grass always gets wet when it rains."
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Inductive Reasoning - caution
• Use of smaller sample may lead to false conclusion
• What is your visibility may be too narrow
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Inductive Reasoning - caution
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What you have seen is not close to realityin general.
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Outcome of inductive reasoning
Reasoning
Strong
Cogent Not cogent
Weak
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Outcome of inductive reasoning
• Strong inductive argumento The truth of the premises really does prove that the
conclusion is probably true• Cogent inductive argument
o A strong inductive argument in which all the premises are actually true
• Not cogent inductive argument o A strong inductive argument in which at least one
premise is false.• Weak inductive argument
o The truth of the premises really does not prove that the conclusion is probably true
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Strong & cogent inductive argument -
exampleMost recording artists have talent.Britney Spears is a recording
artist.=> Therefore, Britney probably
has talent.This argument is strong and
cogent.Aurora Computer Studies (auroracs.lk)
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Strong but not cogent inductive argument -
exampleMost boys like to play sports.Britney Spears is a boy.=> Therefore, Britney probably
likes to play sports.This argument is strong but not
cogent.
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Weak inductive argument
Britney Spears is a recording artist.
Britney has blonde hair.=> Therefore, most recording
artists have blonde hair.This argument is weak.
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Abductive reasoning
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Abductive Reasoning
• Abductive reasoning allows inferring a as an explanation of b
• As a result, abduction allows the precondition a to be adduced from the consequence b (i.e. effect to cause)
• Deductive reasoning and abductive reasoning thus differ in the direction in which a rule like " a entails b is used for inference.Aurora Computer Studies (auroracs.lk)
Incomplete observation
Best prediction(May be true)
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Abadductive Reasoning - caution
• Considerable risk of inferring wrong cause
• You may infer A as the cause, whereas actual cause might be C in this case
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ABCD..
P
Q
R..
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Overview of reasoning
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Generalrule
Specific conclusion(Always true)
Specific observation
General conclusion(May be true)
Incomplete observation
Best prediction(May be true)
Deductive Reasoning
Inductive Reasoning
Abductive Reasoning
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Other helpful techniques for critical
thinking
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Tools/techniques for critical thinking
• Analysis, synthesis & application• What, Why & How? Approach• Abstraction• Root cause analysis
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Analysis, synthesis & application
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Analysis Synthesis Application
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What, Why & How? approach
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What? Why? How?
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Abstraction
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Abstraction - usages• Understanding mathematics• Design (model) before develop/
implement
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Root cause analysis• We must try to understand the
root causes rather than jump into consider immediate causes in order to solve problems
• Ask why five times
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Root cause analysis - example
The vehicle will not start. (the problem)Why? - The battery is dead. (First why)Why? - The alternator is not functioning. (Second why)Why? - The alternator belt has broken. (Third why)Why? - The alternator belt was well beyond its useful service life and not replaced. (Fourth why)Why? - The vehicle was not maintained according to the recommended service schedule. (Fifth why, a root cause)
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References• http://philosophy.hku.hk• https://
en.wikipedia.org/wiki/Critical_thinking
• https://en.wikipedia.org/wiki/Logical_reasoning
• https://en.wikipedia.org/wiki/Problem_of_induction
• https://en.wikipedia.org/wiki/5_WhysAurora Computer Studies (auroracs.lk)
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You may also like following
• If vs If and only if • Science, philosophy, religions an
d myths
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