Deductive reasoning goes from general premises to specific conclusions, ensuring valid logic if the premises are true. Inductive reasoning makes broader generalizations based on specific observations, though conclusions may not be entirely accurate. Deductive examples include mathematical and syllogistic reasoning, while inductive examples extrapolate patterns and trends from limited observations to predict future outcomes or characteristics.
Measures of Dispersion and Variability: Range, QD, AD and SD
Two Approaches of logic
1.
2. Deductive Reasoning is a type of reasoning which goes
from general to specific and is based on premises and if
the premises are true, then the reasoning will be valid.
3. Inductive Reasoning refers to reasoning that
takes specific information and makes a
broader generalization that is considered
probable, allowing for the fact that the
conclusion may not be accurate.
5. Examples of Deductive Reasoning
.
In Mathematics, if A=B and B=C then A=C.
William is a bachelor, all bachelors are single; hence William is single..
Since all humans are mortal, and we are human, then we are
mortal.
Red meat has iron in it and beef is red meat, so beef has iron in it.
6. Examples of other patterns of
Deductive Reasoning
Be careful around bees, they might sting you. (The
reasoning is understood that all bees might sting.)
That dog is growling so be careful or you might get
bitten. (It is logical. If the dog is angry, he might
bite.
7. Examples of Inductive Reasoning
Jennifer leaves for school at 7:00 am. Jennifer is
always o time, Jennifer assumes then, that she
will always be on time if she leaves at 7:00 am.
The chair in the living room is red. The chair in
the dining room is red. The chair in the bedroom
is red. All chairs in the house are red.
8. Two –thirds of the students at this college receive student aid.
Therefore, two-thirds of all college students receive student aid.