1. Begin reading: Hurley, "Informal Fallacies" (Chapter 3; we will cover 3.1-3.4)
Logic & Critical Reasoning
Tuesday, November 10, 2026
Tuesday, October 27, 2026
Sample quiz #2
Practice Quiz #2
Note: Quiz #2 is scheduled for Monday, 11/2 (11 am class), and Wednesday 11/4 (10 am class)
1. True or False: One can deduce P from the disjunct P or Q.
2. True or false: The conclusions of all valid deductions are true statements.
3. Write an invalid argument.
4. Write an uncogent
argument.
5. True or
false: The antecedent of a conditional claim is a necessary condition for the consequent.
6. Reproduce the
chart for induction and deduction.
7. Does the following argument violate the
is-ought gap?
Many animals eat
other animals. Humans are animals. Therefore, there is nothing wrong with humans eating other animals.
8. Translate into
formal symbolic language:
a. You cannot both enjoy the class and not attend. (use E and A)
b.
Although
this quiz is cumulative, you will do well if you study. (use C, W, and S)
c.
If you
study or are a genius, you will ace the quiz. (use S, G, and A)
9. What is "modus ponens"?
10. Is the following argument valid?
If Joe is a dog, then Joe is a mammal.
Joe is not a dog.
Therefore, Joe is not a mammal.
Friday, October 23, 2026
Assignment #5: Formal Proofs
Read: Van Cleave, section 2.11. Do exercise sets 16 & 17.
8 Rules of valid inference:
Modus
Ponens (MP)
p⊃q,
p
∴
q
Modus Tollens (MT)
p⊃q,
~q
∴
~p
Disjunctive Syllogism (DS)
p∨q,
~p
∴
q
p∨q,
~q
∴
p
Simplication (Simp)
p.q
∴
p
p.q
∴
q
Conjunction (Conj)
p,
q
∴
p.q
Hypothetical Syllogism (HS)
p⊃q,
q⊃r
∴
p⊃r
Addition(Add)
∴
p∨q
Constructive Dilemma (CD)
(p⊃q),
(r⊃s),
p∨r
∴
q∨s
Friday, September 25, 2026
Sample Quiz #1
Quiz #1; 10 am section
1. Is the following a statement?
“Please help yourself to more tofu.”
2. Define statement, premise, and conclusion.
3. List 2 premise indicators and 2 conclusion indicators.
4. What is the difference between an explanation and an
argument?
5. Is the following argument valid? Why or why not?
“All dogs are reptiles; Fido is a reptile; Therefore, Fido
is a dog.”
6. Reproduce the chart that depicts the nature induction and
deduction.
7. Why is the “is-ought” gap an issue in logic?
8. Give an example of an enthymeme and then supply the
missing premise.
9. Produce a truth table for conjunction.
10. True or false: logic is the study of empirical observation.
Monday, September 21, 2026
Assignment #4: Formal Methods I: Propositional Logic
Read and do exercises, Van Cleave, 2.1-2.5 & 2.7
Monday, September 14, 2026
Assignment #3: Validity, Soundness, Strength, Enthymemes, Is-ought gap
Begin reading and working through the exercises in Van Cleave, 1.3; and 1.6-1.9
Supplemental (on the is-ought gap):
Friday, September 11, 2026
Assignment #2 The nature of an argument
Things to do:
2. Read Van Cleave, 1.1-1.2. In your notebook dedicated to this class, do all of the exercises. Bring questions/comments to class.