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Inductive vs. Deductive Reasoning
Поширений: Walker
(Розробник: Smith)
DEDUCTIVE REASONING: Making logical conclusions
based on definitions, theorems (facts) and 
properties. 
Joe was given this square with 4 ≅ sides.What can he conclude?
FACT:IF Quadrilaterals have 4 ≅ sides
THEN the quadrilateral is a rhombus.
It is a quadrilateral.
It is a rhombus.
Inductive reasoning takes specific examples
and makes sweeping general conclusions.
Conclusion by inductive reasoning:

My math teacher is skinny
My last math teacher was skinny
All math teachers are cool
All math teachers are skinny
All math teachers are short.
By inductive reasoning (using the specific
examples to make a general rule to add 10)
the next term is...
Inductive reasoning is used
to find the next term in a pattern:
10, 20, 30, 40, 50,
 Inductive reasoning
 Deductive reasoning
All even numbers are divisible by 2
28 is even
Therefore 28 is divisible by 2
 Inductive reasoning
 Deductive reasoning
3,6,9,12,15,

The next term is going to be 18
 Inductive reasoning
 Deductive reasoning
My daddy  has curly hair
My brother has curly hair

Therefore everyone I am related to has curly hair
 Inductive reasoning
 Deductive reasoning
An apple a day keeps the doctor away.

Joe ate an apple every day.

Dr. Dre stayed away.
 Inductive reasoning
 Deductive reasoning
Jimmy got bitten by a dog .

Jimmy is now scared of all dogs.
 Inductive reasoning
 Deductive reasoning
A line segment is broken in half by it's midpoint.
B is the midpoint of segment AC. 

Therefore, BA = BC
 Inductive reasoning
(use specific examples to make a general rule)
 Deductive reasoning
Two episodes of the Big Bang Theory
made me laugh and laugh LOLOLOLOL

Therefore, The Big Bang Theory is always funny.
(
Apply a general rule to specific examples)
 Deductive reasoning
 Inductive reasoning
All right angles = 90 degrees. Two angles with the same measure are congruent. 
∡ABC  and ∡WXY are right angles. 
Therefore, ∡ABC and ∡WXY are congruent.
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