September 23, 2016
Obj: To analyze statements in "if-then" form and write the
converse, inverse, and contrapositive of conditional statements.
HW:
(HR) (2.3) Pg.111: 21, 23, 27, 29, 39, 40, 42, 45, 47
and Pg.116: 1, 4
September 23, 2016
(2.4) Deductive Reasoning and Laws of Logic
Objective: To use the Law of Detachment and the Law of Syllogism.
Why: To broaden your ability to reason logically.
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
Deductive Reasoning:
uses facts, rules, defns, properties to make conclusions
September 23, 2016
calder
dubuffet
gottlieb
pollock
rothko
aikido
jujitsu
karate
kung fu
tae kwon do
tae kwon do
kung fu
karate
jujitsu
aikido
spider
roach
bumblee
beetle
ant
Obj: To use the Law of Detachment and the Law of Syllogism.
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
Determine whether each conclusion used inductive or deductive
reasoning.
a. In Mike's town, the month of April has had the most rain for
the past 5 years. He thinks that April will have the most rain
this year.
b. Sandy learned that if it is cloudy at night it will not be as
cold in the morning as it would be if there are no clouds at
night. Tonight it is cloudy, so Sandy believes it will not be cold
tomorrow morning.
September 23, 2016
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
Determine whether each conclusion is valid based on the given
information. If not, explain.
1. Given: If a triangle is equilateral, then it is an acute triangle.
The triangle is equilateral.
Conclusion: The triangle is acute.
Explain using a Venn Diagram:
2. Given: If a figure is a square, then it is a parallelogram.
The figure is a parallelogram.
Conclusion: The figure is a square.
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
*if the conclusion of the first stmt is NOT the hypothesis of
the second stmt, NO valid conclusion can be drawn.
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
What is the logical statement that can follow from the two given:
If Jim finishes his homework, then he will go out with his friends.
If Jim goes out with his friends, then he will go to the movies.
Statement: ____________________________________
Which Law of Logic was used? _________________________
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
Draw a valid conclusion. State whether the conclusion was drawn
using the Law of Detachment or the Law of Syllogism.
Given: If it snows more than 5 inches, school will be closed. It
snows 7 inches.
Conclusion: _____________________________
Which Law? _____________________________
September 23, 2016
September 23, 2016
Obj: To use the Law of Detachment and the Law of Syllogism.
HW:
(HR) (2.4) Pg.121: 11-29odd, 30, 33, 35, 39, 42, 45
September 23, 2016