03-analyzing arguments-basics ver nov 2011

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    Argumentation

    Top ic 3

    Par

    t 1 of2

    The

    Basics

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    Quotes to Ponder

    Much that is taught in collegeclasses grows soon out of date,

    but the skills of correct reasoning

    never become obsolete.

    - Irving M. Copi& Carl Cohen

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    Do you find hisargumentconvincing?

    Why Not?

    Hey!! Folks!!ALLsmartpeople drinkXXX!!

    I drinkXXXall the time!!I am a smartperson!!

    So, do you drinkXXX??

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    What is an

    Argument

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    Argument? Yes&

    No.

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    Analyzing Arguments

    Hisconditionhas gotten

    worsesince webled him.

    Oh no,well

    have tobleedhim

    again.

    Teenpregnancyis up this

    year.

    We

    need toget rid ofthose sexeducation

    classes!You designed

    the site, its clearlyyour fault!

    I havent sold

    a single ice watersnorkeling kit onmy site.

    Are You Convinced?Why Not?

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    Analyzing Arguments

    ArgumentA claim put forward& defendedwithreasons.

    Statement / ClaimA sentence that can sensibly be

    regardedas eithertrue/false.

    Definitions ofImportant Terms:

    truefalse

    TruthValue

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    Examples ofStatements / Claims:

    ~Redis a color.

    ~Kuala Lumpuris in Singapore.

    ~Ghosts do exist.

    ~Titanicis a bettermovie than Star Wars.

    or Youve got tobeJOKING!!

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    Statementsare eitherpremisesorconclusions, depending on their

    role in an argument.Premises

    Statementswhichare used to supportotherstatements.

    Conclusion

    Statements whichare supportedbyotherstatements.

    Crucial elementthatmakesa group ofstatements anargumentis an inference.Aninferenceis supposed to establish

    the truth ofconcluding statement.

    inference

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    Arguments composed of

    Analyzing Arguments

    Premise (s)

    Ar

    gum

    ent

    Premise (s)Statementsclaimedtoprovide evidenceforanother statement, theconclusion.

    ConclusionStatementthat thepremises

    are claimed to prove/support.

    Conclusion

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    Three things aboutstatements:

    1. 2. 3.

    1. A sentence may be used to expressmore than one statement.

    Example,

    Roses are red& violets are blue.

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    2. Notall sentences are statements.

    Examples,Where is yourhouse?(Question)

    Close yourbook!(Command)

    Please submityourassignment.(Request)

    Let us study tonight.(Proposal)

    InsertyourID into the column.(Instruction)

    Oh, my goodness!(Exclamation)

    Nonstatements

    truefalse

    Truth

    ValueNonstatementshaveNO

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    Some sentences look likenonstatements,are actuallystatements & can be used in

    arguments. Here are two examples:

    Rhetorical Question

    Ought Imperative

    Alyssa, you should quit smoking. Dont you

    realize how bad that is for your health?

    Commencement address: Do not read beautymagazines. They will only make you feel ugly.

    (Mary Schmich)

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    Exclusions to nonstatements

    RhetoricalQuestions OughtImperative&

    Rhetorical QuestionsLooks like a questionbutactuallyassertions ofgood/bad.

    E.g. Andy, you should quit smoking. Dontyou realize how bad it is for your health?

    Assertions something stronglybelieved

    statements

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    Ought ImperativeLooks like a commandbut actuallyassertions.

    E.g. Do not read beauty magazines.They will only make you feel ugly.

    (You oughtorshouldnot read.)

    Exclusions to nonstatements

    RhetoricalQuestions OughtImperative&

    statements

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    3. Considercontextin which theparticular expression is used.

    Example,

    Dont cry.might becommandin onecontext&ought imperativein another

    context.

    Dontcry.

    Dontcry.

    command ought imperative

    Ought imperative: intended to assert a value orought judgmentabout what is good/bador

    right/wrong.

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    Premises&

    conclusions

    A

    rgu

    me

    nt

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    Premise Conclusion

    Put forward as atruth, but whichis not proven.

    It is hot in here.

    This is a verybeautiful car.

    People of this

    town are angry.

    Statement you wantothers to agree.

    Drawnfrompremise (s).

    Examples,We need to get out.

    You should buy thisbeautiful car.

    The factory should be

    built elsewhere.

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    IdentifyingPremises&Conclusions

    Since, for, seeing that,

    in view of the fact that,because, given that, as,

    as indicated by.

    E.g. I would not agreewith you seeing thatyou have made thedecision without my

    concern.

    Therefore, it follows

    that, wherefore, as aresult, suggests that,

    thus, consequently, for

    this reason, so, whichshows that, that is why,accordingly, we may

    infer that, implies that,

    hence, proves that.

    PremiseIndicators ConclusionIndicators

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    IdentifyingPremises &Conclusions

    However, beware of these examples!!

    I havent seen you sincelast year.

    I wouldnt mindseeing thatmovie again.

    Sometimes there is no indicator.E.g. Cats are smarter than dogs.

    You cant get 8 cats to pull a sled through snow.

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    I havent seen you since high school.

    Thusfar everything has been great.

    It was so cold that even the

    ski resorts shut down.There is water on the floorbecause

    the sink overflowed.

    In noneof these examplesdoes the term in red

    function as an indicator word.

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    Exercises

    2.1 Statement/Non-Statement.

    2.2 Identifypremises&

    conclusions.

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    1. Capital punishment is wrong.

    2. Can vegetarians eat animal crackers?3. Ali is the greatest striker in football history.

    4. What do you say we stop at the next stop?

    5. Lee was the first prime minister of Singapore.

    6. Lets party!

    7. Great!8. Keep off the grass. (sign)

    9. If Sally calls, tell her Im at the library.

    10. I hope Peter likes his new job.

    2.1 Statement/Non-Statement.

    Statement

    Non-Statement

    Statement

    Non-Statement

    Statement

    Non-Statement

    Statement

    Non-Statement

    Non-Statement

    Statement

    i l i

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    2.2 Identifypremises&conclusions.

    1. Since light takes time to reach our

    eyes, all that we see really existed inthe past.

    2. Life changes when you least expect itto. The future is uncertain. So seizethis day, seize this moment, & makethe most of it.

    3. Take care of a good name: for thisshall continue with thee, more than a

    thousand treasures precious & great.

    i l i

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    2.2 Identifypremises&conclusions.3. There is no definitive way to prove any one set of

    religious beliefs to the exclusion of all others.For that reason religious freedom is a human right.

    4. Science is based on experiment, on a willingness to

    challenge old dogma, on an openness to see theuniverse as it really is. Accordingly, sciencesometimes requires courageat the very least thecourage to question the conventional wisdom.

    5. Do not play your sound system loudly as you maynot be able to hear warning sirens from emergencyvehicles. In addition, hearing damage from loud

    noise is almost undetectable until its too late.

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    Class Activity

    Make yourownstatements & arguments.

    Askother studentsto identifythepremise (s)& the conclusion.

    premise conclusion

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    2 Types of Arguments

    SimpleHas only a single conclusion.

    Nosub conclusions.

    ComplexContain at least1 sub conclusionto support a single main conclusion.

    E.g. This is a beautiful car.You should buy this car.

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    2 Types of Arguments

    Example of acomplexargument,

    We know thateitherA orB committedthe robbery.

    ButAcouldnt have committed therobbery because he was in prisonwhen the robbery was committed.

    Therefore, B committed the robbery.

    Mr. A Mr. B

    Robber!!

    sub

    conclusion

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    What is NOTan Argument?

    2 conditionsforArguments:

    1. A group of2 ormorestatements

    &

    2. One of those statements

    (conclusion) is claimedorintendedto beprovedor

    supportedbyothers (premises).

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    What is NOTan Argument?

    5 Types:1. Reports

    2. Unsupported statementsofbelieforopinion

    3. Conditional statements

    4. Illustrations

    5. Explanations

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    What is NOTan Argument?

    REPORT

    Name: Susan

    Birth: 20 / 06 / 80

    Hometown: Muar

    Hobby: ReadingAmbition: Doctor

    E.g. Susan was born in 1980,in Malaysia. She grew up in

    a small town, Muar & .

    To conveyinformationabout a subject, not tooffer reasons why onestatement should be

    accepted on basis of others.

    Reports

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    What is NOTan Argument?

    Example (1/2),

    Belief: I believe in God.God is the One who created us& we will return to Him

    once we die.

    Unsupported statements ofbelieforopinion

    orAssertion

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    Example (2/2),

    Opinion: People are not free. Those

    who think they are free are hopelesslynave. People are no more able to controltheir own destinies than are ants,& its just anti-scientific to say so.

    What is NOTan Argument?

    Unsupported statements ofbelieforopinion

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    What is NOTan Argument?

    Examples,

    Ifit rains, thenthe picnic

    will be cancelled.You must speak French

    if you grew up in Quebec.

    Bonjour!!

    Conditional Statementsif-thenstatements

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    What is NOTan Argument?

    Intended to provide examples of a claimrather than toprove orsupportclaim.

    Illustrations

    Examples,

    Many children like to engage in privatespeech. E.g.3 year-old Susan sometimestalk to herself when she plays with her doll.

    Illustration: People are not free;just look athow many abusers were abused as a child.

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    What is NOTan Argument?

    Try to showsomething is the case,notto prove it is the case.

    Explanations

    I fell down because thefloorwas slippery

    ( E x p l a n a t i o n ) . v e r s u s

    Example,

    Capital punishment should be abolishedbecauseinnocent people may be

    mistakenly executed(Argument).

    Arguments or

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    I speak English because my parents sent meto a boarding school in Kuala Lumpur.

    If Ali comes to the party, then Alice will cometo the party.

    Explanation

    Conditional Statement

    Earth was much drier in the distant past

    than it is now, & there were large deserts ininland areas. There were no flowering plantsthey evolved much later. The most commontrees were conifers.

    Report

    Exercise: Arguments orNon arguments

    Arguments or

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    How can you say that Manchester United is abetter football team than Chelsea? Wake up you

    fool! No current English football team is ever betterthan Chelsea, not even Liverpool in the 70s! a fan

    The smart school program deserves to besupported with more money. Not only does this

    program develop the talents of our students, it alsoleads to more hard-working students. Furthermore,at current funding levels the program cannot beimplemented in many schools. a school teacher

    Unsupported statement of belief or opinion

    An argument

    Exercise: Arguments orNon arguments

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    Exercise 2.4

    D e t e r m i n e w h i c h o f t h e

    f o l l o w i n g p a s s a g e sc o n t a i n arguments & w h i c h do not .

    l i

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    Evaluating Arguments

    To evaluate arguments,ask 2 questions:

    1. Are thepremises true?

    2. Can thepremisesprovide

    good reasonsfor itsconclusion?

    l i

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    Are thepremises true?

    Canpremisesprovidegood reasonsfor its conclusion?

    Evaluating Arguments

    Evidence

    Principle of

    RationalAcceptance

    Deductivearguments

    Inductivearguments

    Overview

    A P i T ?

    To evaluate

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    Are the Premises True?

    To evaluate, ask2 questions:

    1. It is true if it is supportedbyevidence.

    2. It uses the Principle ofRational Acceptance.

    To evaluate

    3 points

    R i l A

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    Principle ofRational Acceptance

    1. The claim does not conflictwithpersonal experience &

    observations.Be aware that sometimes

    ourinterpretation of ourobservation& experience

    is not accurate .

    Point

    l R i l A

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    Principle ofRational Acceptance

    2. Does the claim conflict withourbackground beliefs?

    Background beliefs:network of conscious & unconsciousbeliefs we use as a framework.

    Make sure our beliefs are accurate& well grounded. Never believe withoutsufficient evidence &never believe more

    strongly than evidence warrants.

    Point

    i i l R ti l A t

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    Principle ofRational Acceptance

    3. Does a claim come froma crediblesource?

    We should accept a claim onauthorityifit comes from a

    credible source thatwe haveno good reason to doubt.

    Point

    i i l R ti l A t

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    Principle ofRational Acceptance

    1. Source is notgenuineexpertorauthority.

    2. Source is speakingoutside the area ofhis experience.

    Expert?

    Good reasons to doubtthecredib i l i ty include:

    P i i l R ti l A t

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    Principle ofRational Acceptance

    Good reasons to doubtthecredibilityinclude:

    3. The source is biased/ hasmotive to lie ormislead.

    4. Accuracyof the sourcespersonal observations orexperiences is doubtful.

    P i i l R ti l A t

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    Principle ofRational Acceptance

    Good reasons to doubtthecredibilityinclude:

    5. Source is a mediaor internet source thatis generallyunreliable.

    6. Claim made by source is in itself,highly implausible/unlikely.

    C h P i id

    To evaluate

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    Can thePremise provideGood Reasonsfor its Conclusions?

    2 kinds ofarguments:

    DeductiveInductive

    All arguments are(categorically) either

    Deductive or Inductive

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    Deductivearguments try to

    prove theirconclusionswith rigorous,

    inescapable

    logic.

    Inductivearguments try to

    showtheirconclusions areplausible or

    likelygiventhe premise (s).

    Deductive Inductive

    D d ti I d ti t

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    Deductive&Inductive argumentsAllmen are mortal. (premise)

    Gandhi was a man. (premise)

    Gandhi was mortal. (conclusion)

    Deductive argument

    Gandhi was Indian. (premise)

    MostIndians love curry. (premise)

    Gandhi possibly loved curry. (conclusion)

    Inductive argument

    D d ti A t (1/3)

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    Deductive Arguments (1/3)

    Attempt to showconclusionsmustbe truegiven thepremises asserted.

    Allmammals have hair. Pet Xis a mammal.

    Pet

    X

    Conclusion???

    D d ti A t (2/3)

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    Example,

    1) Allhumans are not perfect.

    Deductive Arguments (2/3)

    Yourparents are humans.

    Therefore, yourparents

    are not perfect.(So love them without condition)

    Ded cti e Arg ments (3/3)

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    Deductive Arguments (3/3)

    Example,2) If a studentlives in

    Regal Park,then he is an MMU student.M

    M

    U The studentdoes live inRegal Park.

    So, he is an MMU student.

    Deductive Arguments

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    Deductive Arguments

    If hes rich, he willorderexpensive wine.

    He ISrich.

    So, he willorderexpensive wine.

    Waiter!!!

    Wine year1911 !!!

    Inductive Arguments (1/2)

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    Inductive Arguments (1/2)

    Simplyclaimthatconclusionsare likelyorprobablegiventhepremises offered.

    XYTherefore, it is likelythe next

    Malaysian Prime Minister will be a man.

    Every previous MalaysianPrime Minister has been a man.

    Example,

    Inductive Arguments (2/2)

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    Inductive Arguments (2/2)

    Everyrubyso far discoveredhas been red. So,probably

    allrubies are red.

    AllHarry Potter novels have

    been good. Therefore, thenextHarry Potter novelwill

    likely be good Key differences (1 2 3)

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    Key differences (1,2,3)

    Deductive InductiveIfpremises aretrue,then the conclusionmustbe true.

    Ifpremises aretrue,then the conclusionis

    probablytrue.Conclusion followsnecessarilyfrompremises.

    Conclusion followsprobablyfrompremises.

    Premisesprovideconclusiveevidencefortruth

    of theconclusion.

    Premisesprovide good(butnot conclusive)evidencefortruth

    of the conclusion.

    Key differences (4 5)

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    Key differences (4,5)

    Deductive Inductive

    Impossible for ALL thepremisesto be true&conclusionfalse.

    Unlikelythatthepremisesaretrue&conclusionfalse.

    Logicallyinconsistentto assertthepremises&denytheconclusion

    (if you accept thepremises, then you

    mustaccept theconclusion.)

    Although logicallyconsistentto assertthe

    premises & denythe

    conclusion,conclusion is

    probablytrueifthe

    premises are true.

    Conclusion

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    Conclusion

    A good argumenthas the following:

    1. Allthepremises aretrue.

    2. Premises provide good reasons toacceptconclusion. Deductivelysound& inductivelycogentargument.

    3. Meetstandardsofcritical thinkingdiscussed in Topic 1.Clarity,Precision,

    Accuracy, etc

    Ded cti e

    *Valid: so constructed

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    DeductiveArguments

    Valid* Invalid

    (ALL areunsound)

    Sound** Unsound

    InductiveArguments

    Strong Weak

    (ALL areuncogent)

    Cogent*** Uncogent

    **Sound: having no

    defect,sensible, valid.***Cogent: convincingor believable because

    it is clear.

    that if premises arejointly asserted, theconclusion cannot be

    denied withoutcontradiction.

    Conclusion

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    Conclusion

    Good Argumentdoes NOTmean:

    Agrees with my viewsPersuasive argumentWell-written orwell-spoken argument

    Exercise

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    Exercise

    Deductive or Inductive?

    Common Patterns of

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    Common Patternsof

    Deductive Reasoning

    HypotheticalSyllogismCategoricalSyllogismArgumentbyEliminationArgumentbased on MathematicsArgumentfromDefinition

    Hypothetical Syllogism

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    HypotheticalSyllogism

    Syllogism three-line-argumentthat consists ofexactly2 premises

    & aconclusion.

    Hypotheticalsyllogism syllogismthat contains at least1 hypothetical

    or conditional (if-then) premise

    Premise 1 (Major Premise)Premise 2 (Minor Premise)Conclusion

    Hypothetical Syllogism

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    If then

    Logic - conditional elementin aproposition, as

    Caesar conquered Gaul,

    inIfCaesar conquered Gaul,

    he was a great general.

    Logic - second memberof aconditional proposition, as

    Caesar was a great general

    inIf Caesar conquered Gaul,he was a great general.

    Conditional Statement / Premise

    *Caesar was a great generalif he conquered Gaul.

    Antecedent Consequent

    Consequent Antecedent

    HypotheticalSyllogism

    Hypothetical Syllogism

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    HypotheticalSyllogism

    Example, (1) Modus PonensIfA , thenB.

    A. Therefore, B.

    IfI want to get the scholarship,

    then Id better study hard.I do want to get the scholarship.

    Therefore Id better study hard

    (fromponere, to

    affirm-affirmingtheantecedent)

    Hypothetical Syllogism

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    HypotheticalSyllogism

    Example,

    (2) Chain ArgumentChain arguments consists of3 conditional statements linked

    together in the following way.

    IfA, thenB. IfB, thenC.

    Therefore, ifA, thenC.AB

    BC

    Hypothetical Syllogism

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    Example,

    (2) Chain Argument

    IfI dont study hard now,

    I will not pass the subject.IfI dont pass the subject,

    Ill be under probation.Therefore, ifI dont study hard

    now, Ill be under probation.

    HypotheticalSyllogism

    Hypothetical Syllogism

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    HypotheticalSyllogism

    Example, (3) Modus Tollens(Denying theconsequent)

    IfA , thenB.NotB. Therefore, notA.

    If were in FOSEE, then were inMelaka. Were notin Melaka.

    Therefore were not in FOSEE

    Hypothetical Syllogism

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    HypotheticalSyllogism

    Example, (4) Denying theAntecedent

    If you are the one who sends thoseflowers, you are a lovely person.

    You are notthe one whosends me those flowers.

    IfA , thenB.

    NotA. Therefore, notB.

    Therefore, you are not a lovely person.

    Notreliable!!

    Hypothetical Syllogism

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    HypotheticalSyllogism

    Example,

    (5) Affirming theConsequent

    If it is a banana, it is afruit.

    It is afruit.

    IfA , thenB.

    B. Therefore,A.

    Notreliable!!

    Therefore, it is a banana.

    Categorical Syllogism (1/2)

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    CategoricalSyllogism (1/2)

    Three-line argumentin whicheach statement begins with thewordAll, SomeorNo.

    Example (1/3),

    Allwhalesaremammals.Allmammalsare animals.

    So, allwhalesareanimals.

    whale

    gorilla

    lion

    cow

    Categorical Syllogism (2/2)

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    CategoricalSyllogism (2/2)

    Example (2/3),Allbatsarenocturnal animals.Nosalamandersarenocturnal animals.

    Nosalamandersarebats.

    Example (3/3),

    Notennis playersareshort.Someadultsareshort.

    Some adults are not tennis players

    Argument by Elimination

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    Argumentby Elimination

    Seeks to logicallyrule outvarious possibilitiesuntil onlyasingle possibilityremains.

    Therefore she went to class

    But Susan did notgo to the library.

    EitherSusan went to the

    libraryorshe went to class.Example,

    Argument based on

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    Argumentbased on

    Mathematics

    Example,

    Lighttravels at a rate of186,000 miles per second.

    The sun is more than 93 million

    miles distant from the earth.Therefore, it takes more than

    eight minutesfor the suns light

    to reach the earth.

    93

    millionm

    iles

    Math

    Argument from Definition

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    Argument from Definition

    The conclusion is presentedas being truebydefinition.

    Therefore, he is a doctor.

    Peter is apediatrician.

    Example,Pediatrician=doctor

    Common Patterns of

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    Common Patterns ofInductive Reasoning

    Six common patterns,

    Inductive generalization

    Predictive argument

    Argument from authority

    Causal argument Statistical argument

    Argument from analogy

    Inductive Generalization (1/2)

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    Inductive Generalization (1/2)

    An argumentin which a generalizationis claimedto beprobably truebased on information about somemembers

    of aparticular class. All, most.

    Example,

    Ive met 4Japanese people, & theywere hardworking. Therefore,probably,

    most Japanese people are hardworking

    Konnichiwa!!!

    Inductive Generalization (2/2)

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    Example,

    All dinosaur bones so far discoveredhave been more than 65 million years old.

    Therefore,

    probably

    ALL dinosaur bonesare more than65 million years old.

    Inductive Generalization (2/2)

    Predictive Argument

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    Predictive Argument

    Ap red ic t ion that isdefended with reasons .

    Therefore,probably,

    she will come late today

    Example,

    Amyalways

    come late to class.

    Must

    hurry!!!

    Argument from Authority

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    Argument from Authority

    Asserts a claim & then supports claimby citing somepresumed authorityorwitnesswho has said claim is true.

    Therefore,probablythereis

    a ghoston the

    23rdfloor

    Example,

    My friend told me thathe

    saw a ghoston the 23rdfloor.

    Causal Argument

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    Causal Argument

    Assertsordenies that something isthe cause of something else.

    Examples,

    I cant log in the MMLS.The serverisprobablydown.

    Rashid isnt allergic to peanuts.I saw him eat a bag of peanutson the flight from Langkawi.

    Statistical Argument

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    Statistical Argument

    Example,

    70% ofMMU studentsdrive to the campus.

    Rosie is an MMU student.Most probably, shedrives to the campus.

    Rests on statisticalevidence.

    Air-Rosie

    Argument from Analogy

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    Argument from Analogy

    Conclusion is claimed todepend on analogy(a comparisonofsimilarity)

    between 2 or more things.

    Basic logical pattern: These things are

    similarin such-and-such ways.Therefore, theyreprobablysimilarin somefurther way.

    Analogy

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    ~Aliis a graduate ofMMU University,& he is bright, assertive &polite.

    ~Mayis a graduate ofMMU University,& she is bright, assertive, &polite.

    ~Venu is a graduate ofMMU University.~ Therefore, most likely(orprobably),

    Venu is bright, assertive, &polite.

    Example, Ali May Venu

    a ogy

    Deductive

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    Deductive

    Validity

    Inductive Strength

    versus

    Deductive

    *Valid: so constructedthat if premises are

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    DeductiveArguments

    Valid* Invalid

    (ALL areunsound)

    Sound** Unsound

    InductiveArguments

    Strong Weak

    (ALL areuncogent)

    Cogent*** Uncogent

    **Sound: having no

    defect,sensible, valid.***Cogent: convincingor believable because

    it is clear.

    that if premises arejointly asserted, theconclusion cannot be

    denied withoutcontradiction.

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    DeductiveValidity

    Valid?Invalid?

    Validdoes notmean true.Validmeans that the argument

    is well reasoned

    Deductive Validity

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    Deductive Validity

    Validdeductive argument:logical ly rel iable

    deductive argument(The conclusion really doesfollow

    necessarilyfrom thepremises).

    Premises ConclusionLeads to

    Deductive Validity

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    3 conditions:1. Ifpremisesare true,

    conclusionmust be true.

    2. The conclusionfollowsnecessarilyfrom thepremises.

    3. It is impossible to assertallthepremises as true & deny

    the conclusion

    Deductive Validity

    Deductive Validity

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    educt e a d ty

    Valid arguments can:1. Have obviouslyfalsepremises,

    &false conclusion.

    Example,

    Allsquares are circles.Allcircles are triangles.

    Therefore all squares are triangles

    squares

    triangles

    circles

    Deductive Validity

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    2. Havefalsepremises,& a trueconclusion.

    y

    Example,Allfruits are vegetables.Caulifloweris afruit.

    Therefore, caulifloweris a vegetable . cauliflower

    Deductive Validity

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    3. Have truepremises,& trueconclusions.

    Example,If youre reading this, you are alive.

    y

    Therefore, youre alive.Youre reading this.

    Deductive Validity

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    However, valid arguments

    y

    All truepremises

    FalseConclusion

    CANNOT

    CANNOThaveALL true premises,

    & afalseconclusion.

    Deductive Validity

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    Invaliddeductive argument:the conclusiondoes not follow

    necessarilyfrom thepremises.

    y

    Denying theantecedent,Affirming theconsequent.

    Examples,

    Notreliable!!

    Denying the Antecedent Notli bl !!

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    Argument of following form isinvalid:IfAthenB.NotA, therefore, NotB.

    If youre hit by a car when youre 6 then youll dieyoung. But you were nothit by a car when you

    were 6. Thus, you willnotdie young.

    Example,

    or or or

    reliable!!

    (Of course, you could be hit by a train or apianoor

    at any other age after six or die of other causes!!)

    Affirming the Consequent

    Notli bl !!

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    Argument of following form isinvalid:IfAthenB,Btherefore,A.

    (Of course, even though thepremises are true,I might be in Johor, or any other state in Malaysia.)

    If I am in Melaka, then I am in Malaysia.I am in Malaysia, thus, I am in Melaka.

    Examples A B

    If the factory is polluting the riverthen we see an increase in fish deaths.

    And fish deaths have increased.Thus, the factory is polluting the river. x

    x

    reliable!!

    Deductive Validity

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    CONCLUSION

    Validdoesnt mean good

    ortrue argument.Validmeans argument is

    well-reasoned,has a logically reliable

    pattern of reasoning

    y

    Deductive

    *Valid: so constructedthat if premises are

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    Arguments

    Valid* Invalid

    (ALL areunsound)

    Sound** Unsound

    InductiveArguments

    Strong Weak

    (ALL areuncogent)

    Cogent*** Uncogent

    **Sound: having no

    defect,sensible, valid.***Cogent: convincingor believable because

    it is clear.

    f pjointly asserted, theconclusion cannot be

    denied withoutcontradiction.

    Deductive Validity

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    Ifargument is valid+premisestrue

    y

    Invalid, or have at least1false

    premise, orboth

    (good argument).

    (bad argument)

    unsounddeductive argument

    sounddeductive argument

    Quotes to Ponder

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    Validdeductive argumentsare like steel traps.Once a person walks into the

    trap by accepting thepremises,

    there is no escape; the

    conclusion follows necessarily.- Kathleen

    Dean Moore

    Q

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    Inductive Strength

    Weak

    Strong

    Inductive Strength

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    Strong inductive argument:conclusion followsprobably

    from thepremises.

    Example,

    Most models are thin & slim.Susan is a model.

    Probably, she is thin & slim.

    g

    Inductive Strength

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    Weak Inductive argument:the conclusionis notprobably

    true even if thepremises are true.Example,

    All Malaysian PM has been a man.Therefore, probably, the next

    Malaysian PM will be a woman

    g

    Inductive Strength

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    Strong inductive argumentcan:1. havefalsepremises, & a

    probablyfalse conclusion.2. have truepremises, & a

    probablytrueconclusion.

    3. havefalsepremises, & aprobablytrueconclusion.

    Inductive Strength

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    Strong inductive argumentCANNOT??

    have truepremises, & a

    probablyfalseconclusion.

    DeductiveA t

    *Valid: so constructedthat if premises arej i tl t d th

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    Arguments

    Valid* Invalid

    (ALL areunsound)

    Sound** Unsound

    InductiveArguments

    Strong Weak

    (ALL areuncogent)

    Cogent*** Uncogent

    **Sound: having no

    defect,sensible, valid.***Cogent: convincingor believable because

    it is clear.

    jointly asserted, theconclusion cannot be

    denied withoutcontradiction.

    Inductive Strength

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    Strong inductive argument+true premises

    (good argument)Weak, or has atleast 1false premise

    or both

    cogentargument

    uncogentargument(bad argument)

    Quotes to Ponder

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    TheAimofArgument,or discussion,shouldnotbe victory,

    butprogress.

    - Joseph Joubert