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Inductive Reasoning
     by: Kathryn Ecoff
What is Inductive Reasoning?
 • Inductive Reasoning is arriving at a
   conclusion on the basis of principle facts
   that can guide you to the conclusion.

 • It also can be called an educated guess.
 • Inductive reasoning suggests the truth
   about a statement but does not directly
   prove the statement.

 • This type of reasoning is mainly based
   on observations.
Strong Induction
• Strong Induction is when you decide to
  believe the conclusion is true based on
  the evidence.

• The conclusion of strong inductions is
  usually likely to be true.

• For a statement to be a strong induction,
  it has to be logical, and have some sort
  of evidence.
Examples of Strong Induction

   • All the tigers observed in a particular
     region have black stripes, therefore all
     the tigers native to this region have
     black stripes.

   • This is a strong induction because it has
     not been proven false yet, based on
     observations taken.
Weak Induction
• A weak induction is when your particular
  view on something does not allow you
  to see that the conclusion is likely given
  the evidence.

• Weak inductions tend to be false, or
  based on very limited examples or facts.

• Weak inductions are usually based on a
  person’s experiences or observations,
  and is likely able to be proven false.
Examples of Weak Induction

  • I always hang pictures on nails,
    therefore all pictures hang from nails.

  • This is a weak induction because not
    every picture is hung from a nail, and
    not everybody hangs pictures from nails,
    so it can be proven false.
Real World Connections
• Inductive reasoning can be used during everyday
  conversations. Examples:

• Every cat I have seen has a tail, so all cats have
  tails.

• This is a strong induction because it has not yet
  been proven false. Another example:

• Everybody I know has been to McDonald’s, so
  everyone has been to McDonald’s.

• This is a weak induction, because there are some
  people who have never been to McDonald’s.
Real World Connections
• Inductive reasoning is mainly used when proving
  theories or statements.

• All swans are white based on all available
  observations of swans.

• This specific conclusion was overturned when black
  swans were discovered, so this theory was eventually
  proved false, even though at one point it was true.

• Newton’s laws of motion are examples of this type of
  reasoning.

• An object in motion continues with the same speed and
  direction unless acted upon by an unbalanced force.
Real World Connections

• Inductive reasoning is also used during
  math.

• The spinner has landed on the color blue
  the past three times, so blue is the color
  spun the most.

• Inductive reasoning is based on
  observations in math.

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Inductive reasoning powerpoint

  • 1. Inductive Reasoning by: Kathryn Ecoff
  • 2. What is Inductive Reasoning? • Inductive Reasoning is arriving at a conclusion on the basis of principle facts that can guide you to the conclusion. • It also can be called an educated guess. • Inductive reasoning suggests the truth about a statement but does not directly prove the statement. • This type of reasoning is mainly based on observations.
  • 3. Strong Induction • Strong Induction is when you decide to believe the conclusion is true based on the evidence. • The conclusion of strong inductions is usually likely to be true. • For a statement to be a strong induction, it has to be logical, and have some sort of evidence.
  • 4. Examples of Strong Induction • All the tigers observed in a particular region have black stripes, therefore all the tigers native to this region have black stripes. • This is a strong induction because it has not been proven false yet, based on observations taken.
  • 5. Weak Induction • A weak induction is when your particular view on something does not allow you to see that the conclusion is likely given the evidence. • Weak inductions tend to be false, or based on very limited examples or facts. • Weak inductions are usually based on a person’s experiences or observations, and is likely able to be proven false.
  • 6. Examples of Weak Induction • I always hang pictures on nails, therefore all pictures hang from nails. • This is a weak induction because not every picture is hung from a nail, and not everybody hangs pictures from nails, so it can be proven false.
  • 7. Real World Connections • Inductive reasoning can be used during everyday conversations. Examples: • Every cat I have seen has a tail, so all cats have tails. • This is a strong induction because it has not yet been proven false. Another example: • Everybody I know has been to McDonald’s, so everyone has been to McDonald’s. • This is a weak induction, because there are some people who have never been to McDonald’s.
  • 8. Real World Connections • Inductive reasoning is mainly used when proving theories or statements. • All swans are white based on all available observations of swans. • This specific conclusion was overturned when black swans were discovered, so this theory was eventually proved false, even though at one point it was true. • Newton’s laws of motion are examples of this type of reasoning. • An object in motion continues with the same speed and direction unless acted upon by an unbalanced force.
  • 9. Real World Connections • Inductive reasoning is also used during math. • The spinner has landed on the color blue the past three times, so blue is the color spun the most. • Inductive reasoning is based on observations in math.