Deductive vs. Inductive. Valid Reasoning. What’s the difference?. ICE DRIP Inductive Contains Examples Deductive Reasoning involves proof!. Difference between True/False and Valid/Invalid!.
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Deductive vs. Inductive
Valid Reasoning
ICE DRIP
Inductive Contains Examples
Deductive Reasoning involves proof!
Difference between True/False and Valid/Invalid!
1. Which of the following claims would be best expressed by inductive reasoning?
2. Which of the following claims would be best expressed by deductive reasoning?
3. Which of the following arguments would lead to a deductive conclusion?
All men are mortal. (major premise)
Socrates is a man. (minor premise)
Therefore, Socrates is mortal. (conclusion)
Claire is a student at ASU.
Therefore, Claire eats pizza.
2. All athletes work out in the gym.
Barry Bonds is an athlete.
Therefore, Barry Bonds works out in the gym.
All smiling cats talk.
The Cheshire Cat smiles.
Therefore, the Cheshire Cat talks.
All politicians can afford health
insurance.
Therefore, no politician is unemployed.
VALID OR INVALID?????
Mr. Einstein wears glasses.
Therefore, Mr. Einstein is a professor.
This premise was succinctly reflected in the wise words of Benjamin Franklin (1706-90):
The members of the Williams family are Susan, Nathan and Alexander.Susan wears glasses.Nathan wears glasses.Alexander wears glasses.Therefore, all members of the Williams family wear glasses.
Mr. Smith owns only blue pants and brown pants. Mr. Smith is wearing a pair of his pants today. So, Mr. Smith is wearing either blue or brown pants today.
Major Premise: All cats are mammals.Minor Premise: Fluffy is a cat. Conclusion: Therefore Fluffy is a mammal.
I've noticed previously that every time I kick a ball up, it comes back down, so I guess this next time when I kick it up, it will come back down, too.
If it is 4th of July, There will be a parade. If there
is a parade, Polina will go to the parade. If it is
4th of July, Polina will go to the parade. A. Valid B. Invalid
If it rains, Susan will be staying home; If Susan is not staying home, then it did not rain.
If Brian does well on the job interview, then he'll get the job; He didn't get the job; So, he didn't do well on the job interview.
State a valid conclusion:
If two figures are congruent, then their areas are equal.The area of ABCD equals the area of WXYZ
State a valid conclusion:
If the measures of two angles have a sum of 90 degrees, then the angles are complementary.m∠1+ m∠2 = 90
State a valid conclusion:
State a valid conclusion:
If three points lie on the same line, then they are collinear.
Points A, B, and C lie on line l.