Inductive reasoning
Students of media studies can see how inductive reasoning work
and the types of things they can discern using inductive reasoning.
Inductive reasoning is the opposite of deductive reasoning.
Inductive reasoning makes broad generalizations from specific observations.
"In inductive inference, we go from the specific to the general.
We make many observations, discern a pattern, make a generalization, and infer
an explanation or a theory," Wassertheil-Smoller told Live Science.
"In science there is a constant interplay between inductive inference
(based on observations) and deductive inference (based on theory), until we get
closer and closer to the 'truth,' which we can only approach but not ascertain
with complete certainty."
Even if all of
the premises are true in a statement, inductive reasoning allows for the
conclusion to be false. Here’s an example: "Harold is a grandfather.
Harold is bald. Therefore, all grandfathers are bald." The conclusion does
not follow logically from the statements.
Inductive reasoning has its place in the scientific method.
Scientists use it to form hypotheses and theories. Deductive
reasoning allows them to apply the theories to specific situations.
Examples of Inductive Reasoning
A third marble from the bag is black. Therefore
all the marbles in the bag black.” The statement above is an example of inductive reasoning. Since the first marble from the bag was black,
the second was black and the third was black the conclusion reached is that all
the marbles in the bag are black.
Understanding Inductive Reasoning
There are varying degrees of
strength and weakness in inductive reasoning, and various types including
statistical syllogism, arguments from example, causal inferences, simple
inductions, and inductive generalizations. They can have part to whole relations,
extrapolations, or predictions.
Some
examples of inductive reasoning include:
·
Jennifer leaves for school at 7:00 a.m. Jennifer is always on
time. Jennifer assumes, then, that she will always be on time if she leaves at
7:00 a.m.
·
The cost of goods was $1.00. The cost of labor to manufacture
the time was $.50. The sales price of the item was $5.00; so, the item always
provides a good profit.
·
Every windstorm in this area comes from the north. I can see a
big cloud of dust caused by a windstorm in the distance; so, a new windstorm is
coming from the north.
·
Bob is showing a big diamond ring to his friend Larry. Bob has
told Larry that he is going to marry Joan. Bob has bought the diamond ring to
give to Joan.
·
The chair in the living room is red. The chair in the dining
room is red. The chair in the bedrrom is red. All chairs in the house are red.
·
Every time you eat peanuts, your throat sweels up and you can't
breath. So, you are allergic to peanuts.
·
All cats that you have observed purr. Therefore, every cat must
purr.
·
Two-thirds of the students at this college receive student aid.
Therefore, two-thirds of all college students receive student aid.
·
All of the girls in the class were blond, therefore all girls in
this neighborhood are blond.
·
Michael just moved here from Chicago. Michael has red hair,
therefore people from Chicago have red hair.
·
The children in that house yell loudly when they play in their
bedroom. I can hear children yelling in that house, therefore the children must
nbe playing in their bedroom.
·
All chickens that we have seen have been brown; so, all chickens
are brown.
·
All cars in this town drive on the right side of the street.
Therefore, all cars in all towns drive on the right side of the street.
·
John is an excellent swimmer. John's family has a swimming pool.
John's sister Mary must also be an excellent swimmer.
·
All basketball players in your school are tall, so all
basketball players must be tall.
·
All brown dogs in the park are small dogs. Therefore, all small
dogs are brown.
·
All children in the day care center like to play with Legos. All
children, therefore, enjoy playing with Legos.
·
Ray is a football player. All football players weigh more than
170 pounds. Ray weighs more than 170 pounds.
·
All observed houses on the South Street are falling apart.
Sherry lives on South Street. Her house is falling apart.
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