Exercises for Informal Fallacies
1. We should give an A to Tommy. It is
because if he does not get an A, it is likely
that he will not get enough GPA to be
admitted to HKU. You know, Tommys
parents a
Categorical Syllogism Exercise
Identify major, minor, and
middle terms, mood, and figure
All ozone molecules are good absorbers of
UV light.
All ozone molecules are things destroyed by
chlorine.
Th
1. (K P) v (K Q)
2. P ~K
3. K (P v Q)
4. K
5. ~K
6. ~P
7. (P v Q) K
8. P v Q
9. Q
10. Q v T
/QvT
1. (K P) v (K Q)
2. P ~K
3. K (P v Q)
4. K
5. ~K
6. ~P
7. (P v Q) K
8. P v Q
9. Q
10. Q v T
/QvT
1, Di
There are significant omissions which are necessary in order to render the
Individualists optimism plausible. Either workers and businessmen would
have insurance of various kinds, or they would be ins
Two Dimensional Co-ordinate Geometry
Advanced Level Pure Mathematics
Advanced Level Pure Mathematics
9
Calculus II
9.1
Introduction
9.2
Change of Axes
9.3
Straight Lines
9.4
Equations of Lines Pairs
9
Three Dimensional Co-ordinate Geometry
Advanced Level Pure Mathematics
Advanced Level Pure Mathematics
10
Calculus II
Chapter 7
7.8
Chapter 10
Vectors
Vector Equation of a Straight Line
2
Three Dimens
Systems of linear equations
Advanced Level Pure Mathematics
AdvancedLevel PureMathematics
9
Algebra
Chapter 9
Systems of Linear Equations
9.1
2
9.3
Gaussian Elimination
7
9.4
Solutions of Systems of L
Syllogism
A syllogism is a two-premise deductive
argument.
Or, a categorical syllogism is an argument
in which both the premises and the
conclusion are categorical propositions.
1
There are 3 propos
Applications of Definite Integrals
AdvancedLevelPureMathematics
AdvancedLevel P ureMathematics
Applications of Definite Integrals
8
Areas
2
Arc Length
8
Volumes of Solids of Revolution
11
Area of Surf
Application of Differential Calculus
Date
A-Level Pure Mathematics
Chapter 5 Application of Differential Calculus
Exercise 5A (LHospitals Rule)
Name : _
:
x sin x
x3
1.
Evaluate lim
2.
Evaluate the fo
BASIC CONCEPTS OF
ARGUMENTS
1
What is an Argument?
To justify or defend a claim is to give reasons or
arguments to support it.
Reasoning (or inference) is a psychological
process.
When we express t
Identify Arguments
Use the letters P and C to label
the premises and conclusion of each
argument
Question 1
Titanium combines readily with oxygen,
nitrogen, and hydrogen, all of which have
an adverse
Categorical Logic (I)
1
Categorical Propositions
This logical system was developed by
Aristotle more than 2000 years ago.
Categorical Logic deals with categorical
propositions.
A categorical propos
Identify quantifier, subject,
copula, and predicate
1. No persons who live near airports are
persons who appreciate the noise of jets.
2. Some terrorists are not religious.
1. Quantifier: No
Subjec
Continuity
Advanced Level Pure Mathematics
Advanced Level Pure Mathematics
3
Calculus I
Chapter 3
Continuity
3.1
2
3.2
Limit of a Function
2
3.3
Properties of Limit of a Function
9
3.4
Two Important L
1
Rules of implication 1. Modus ponens (MP) 5. Constructive dilemma (CD)
p q p q
2. Modus tollens (MT)
(p q) (r s) p r q s
6. Simplification (Simp)
p q ~q ~p
3. Hypothetical syllogism (HS)
pq p
7. Con
Logical, technical, and physical impossibilities, which is which?
Build a computer with 5GHz clock speed. Draw a triangle with internal angles of 200 degrees. To be 300 years of age.
Distinguish betw
Indefinite Integration
Advanced Level Pure Mathematics
Advanced Level Pure Mathematics
6
Calculus II
Indefinite Integration
2
Method of substitution
3
Integration by Parts
6
Special Integration
10
Int
Inequalities
Advanced Level Pure Mathematics
Advanced Level Pure Mathematics
6
Algebra
Chapter 6
Inequalities
Fundamental Concepts of Inequalities and
Methods of Proving Inequalities
2
6.4
Arithmetic
Informal Fallacies
1
Formal Vs Informal Fallacies
A fallacy is a defect in an argument other
than its having false premises.
An informal fallacy is a defect in the
content of an argument. (A formal
Limit of a Sequence
Advanced Level Pure Mathematics
Advanced Level Pure Mathematics
2
Calculus I
Chapter 2
Limit of a Sequence
2.1
2
2.2
Sequences
2
2.3
Convergent Sequences
6
2.4
Divergent Sequences
Mathematical Induction
Advanced Level Pure Mathematics
AdvancedLevel PureMathematics
3
Algebra
Chapter 3
Mathematical Induction
3.1
First Principle of Mathematical Induction
2
3.2
Second Principle of
Matrices and Determinants
Advanced Level Pure Mathematics
Advanced Level Pure Mathematics
Chapter 8
8
Matrices and Determinants
8.1
INTRODUCTION : MATRIX / MATRICES
2
8.2
SOME SPECIAL MATRIX
3
8.3
ARI
Natural Deduction (1)
1
Besides using truth-table to prove the
validity of an argument, we can use another
method, called natural deduction, to do
the same.
Using this method, we can deduce step-bys