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Inductive vs.
  Deductive
 Reasoning



                1
Deductive Reasoning
 Startswith a general rule (a
 premise) which we know to be
 true. Then, from that rule, we
 make a true conclusion about
 something specific.



                                  2
Deductive Reasoning
 The process of reasoning from
 known facts to conclusions. When
 you reason deductively, you can
 say “therefore” with certainty. If
 your facts were firm to begin with,
 then your conclusions will also be
 firm.

                                       3
Deductive Reasoning




                      4
Deductive Reasoning
  From vague




          To specific

                        5
A deductive argument
   is one in which it is impossible for the premises to
    be true but the conclusion false.
   It is supposed to be a definitive proof of the truth of
    the claim (conclusion).
       Premise  All men are mortal.
       Premise  Socrates was a man.
       Conclusion  Socrates was mortal.
   If the premises are true (and they are), then it simply
    isn't possible for the conclusion to be false.
   If you have a deductive argument and you accept
    the truth of the premises, then you must also accept
    the truth of the conclusion.
                                                              6
A deductive argument


 True      True       True
Premise   Premise   Conclusion




                             7
Deductive Reasoning
 Example:
  Smith  owns only blue pants and
   brown pants. Smith is wearing a
   pair of pants today. So, Smith is
   wearing either blue or brown
   pants today.


                                       8
Inductive Reasoning
 The process of going from
  observations to conclusions.
 This type of conclusion is
  sometimes called an inference.




                                   9
Inductive Reasoning
 Observing    that something is true
  many times, then concluding that
  it will be true in all instances
 Using the data to make a
  prediction



                                        10
Inductive Reasoning




                      11
Inductive Reasoning
             From specific




  To vague

                             12
An inductive argument
   is one in which the premises are supposed to support the
    conclusion.
   If the premises are true, it is unlikely that the conclusion
    is false.
   The conclusion probably follows from the premises.
       Premise  Socrates was Greek.
       Premise  Most Greeks eat fish.
       Conclusion  Socrates ate fish.
   Even if both premises are true, it is still possible for the
    conclusion to be false (maybe Socrates was allergic to
    fish).
   Words which tend to mark an argument as inductive
    include probably, likely, possibly and reasonably.
                                                               13
A inductive argument


 True      True     Probably
Premise   Premise     True
                    Conclusion




                             14
Inductive Reasoning
 Example:
  January   has been cold here in
   Siberia. Today is January 14, so
   it is going to be another cold day
   in Siberia.



                                    15
Which conclusion below shows
     evidence of deductive reasoning?
A.   One time an employee used store computers to download
     a harmful virus, so employee computer use is a security
     threat.
B.   Many customers complained about employees using
     computers rather than working, so computer misuse was
     harming the company’s sales.
C.   An employee on a break distracted other employees by
     using a computer in a public area for private business, so
     that employee was given a warning.
D.   Several employees left customer sales information visible
     on computer screens, so those employees were instructed
     to always close windows with personal information.

                                                             16
Let’s Practice –
 The word wall is Inductive
 The windows are Deductive




                               17
#1
 Premise:             Conclusion:
  Everything made      This wire will
  of copper            conduct
  conducts
                       electricity.
  electricity.
 Premise:

  This wire is made
  of copper.
                                        18
#2
 Premise:       Conclusion:
  Socrates       Socrates
  was Greek.     probably ate
 Premise:       fish.
  Most Greeks
  eat fish.
                                19
#3
   The local branch of Wachovia Bank was
    robbed yesterday. Jenny needed money
    to pay off her gambling debts. She just
    bought a gun two days ago, and I saw
    her hanging around the local Wachovia
    Bank yesterday morning. Today the
    bookie’s goons stopped looking for
    Jenny. So Jenny robbed Wachovia
    Bank yesterday.

                                          20
#4
 Premise:  All    Conclusion: I
  turtles have     conclude that
  shells.          the animal in
 Premise: The     my bag has a
  animal I have    shell.
  captured is a
  turtle.
                                    21
#5
Sherlock Holmes and Watson were on a
camping trip. They had gone to bed and were
lying there looking up at the sky. Holmes said,
“Watson, look up. What do you see?”
“I see thousand of stars.”
“And what does that mean to you?”
“I guess it means we will have another nice
day tomorrow. What does it mean to you,
Holmes?”
“To me, it means someone has stolen our
tent.”

                                              22
#6
   Premise: Tonya is        Conclusion:
    seen walking from         Tonya has
    her car to her home
                              bought the set of
    with a set of golf
    clubs.                    golf clubs for
   Premise: Tonya’s          Jack.
    husband Jeff loves
    golf and tomorrow
    is his birthday.

                                              23

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Inductive vs deductive reasoning

  • 1. Inductive vs. Deductive Reasoning 1
  • 2. Deductive Reasoning  Startswith a general rule (a premise) which we know to be true. Then, from that rule, we make a true conclusion about something specific. 2
  • 3. Deductive Reasoning  The process of reasoning from known facts to conclusions. When you reason deductively, you can say “therefore” with certainty. If your facts were firm to begin with, then your conclusions will also be firm. 3
  • 5. Deductive Reasoning From vague To specific 5
  • 6. A deductive argument  is one in which it is impossible for the premises to be true but the conclusion false.  It is supposed to be a definitive proof of the truth of the claim (conclusion).  Premise  All men are mortal.  Premise  Socrates was a man.  Conclusion  Socrates was mortal.  If the premises are true (and they are), then it simply isn't possible for the conclusion to be false.  If you have a deductive argument and you accept the truth of the premises, then you must also accept the truth of the conclusion. 6
  • 7. A deductive argument True True True Premise Premise Conclusion 7
  • 8. Deductive Reasoning  Example:  Smith owns only blue pants and brown pants. Smith is wearing a pair of pants today. So, Smith is wearing either blue or brown pants today. 8
  • 9. Inductive Reasoning  The process of going from observations to conclusions.  This type of conclusion is sometimes called an inference. 9
  • 10. Inductive Reasoning  Observing that something is true many times, then concluding that it will be true in all instances  Using the data to make a prediction 10
  • 12. Inductive Reasoning From specific To vague 12
  • 13. An inductive argument  is one in which the premises are supposed to support the conclusion.  If the premises are true, it is unlikely that the conclusion is false.  The conclusion probably follows from the premises.  Premise  Socrates was Greek.  Premise  Most Greeks eat fish.  Conclusion  Socrates ate fish.  Even if both premises are true, it is still possible for the conclusion to be false (maybe Socrates was allergic to fish).  Words which tend to mark an argument as inductive include probably, likely, possibly and reasonably. 13
  • 14. A inductive argument True True Probably Premise Premise True Conclusion 14
  • 15. Inductive Reasoning  Example:  January has been cold here in Siberia. Today is January 14, so it is going to be another cold day in Siberia. 15
  • 16. Which conclusion below shows evidence of deductive reasoning? A. One time an employee used store computers to download a harmful virus, so employee computer use is a security threat. B. Many customers complained about employees using computers rather than working, so computer misuse was harming the company’s sales. C. An employee on a break distracted other employees by using a computer in a public area for private business, so that employee was given a warning. D. Several employees left customer sales information visible on computer screens, so those employees were instructed to always close windows with personal information. 16
  • 17. Let’s Practice –  The word wall is Inductive  The windows are Deductive 17
  • 18. #1  Premise:  Conclusion: Everything made This wire will of copper conduct conducts electricity. electricity.  Premise: This wire is made of copper. 18
  • 19. #2  Premise:  Conclusion: Socrates Socrates was Greek. probably ate  Premise: fish. Most Greeks eat fish. 19
  • 20. #3  The local branch of Wachovia Bank was robbed yesterday. Jenny needed money to pay off her gambling debts. She just bought a gun two days ago, and I saw her hanging around the local Wachovia Bank yesterday morning. Today the bookie’s goons stopped looking for Jenny. So Jenny robbed Wachovia Bank yesterday. 20
  • 21. #4  Premise: All  Conclusion: I turtles have conclude that shells. the animal in  Premise: The my bag has a animal I have shell. captured is a turtle. 21
  • 22. #5 Sherlock Holmes and Watson were on a camping trip. They had gone to bed and were lying there looking up at the sky. Holmes said, “Watson, look up. What do you see?” “I see thousand of stars.” “And what does that mean to you?” “I guess it means we will have another nice day tomorrow. What does it mean to you, Holmes?” “To me, it means someone has stolen our tent.” 22
  • 23. #6  Premise: Tonya is  Conclusion: seen walking from Tonya has her car to her home bought the set of with a set of golf clubs. golf clubs for  Premise: Tonya’s Jack. husband Jeff loves golf and tomorrow is his birthday. 23