Symbolic Logic (PHIA3107)
BA, Philosophy - PHI
Semester: First Semester
Level: 300
Year: 2019
UNIVERSITY OF BAMENDA
FACULTY OF ARTS
FIRST SEMESTER EXAMINATIONS 2018/2019
Department: PHILOSOPHY Course LECTURER: Dr. NUM/Dr. Shang
Date: 2019 Course code: 3107 Credit value: 6 YEAR: 2018/2019
Time allowed: 2 hrs COURSE TITLE: SYMBOLIC LOGIC Venue: PBB 02
Instructions: Answer any two questions choosing one from each of the sections.
SYMBOLIC LOGIC
SECTION A
1. What is symbolic logic? 4pts
2. state two differences between symbolic logic and traditional logic. 4pts
3. State two reasons why the use of special symbols is important in symbolic logic. 4 pts
4. What is a truth table? 3pts
5. Discuss the transition from Aristotelian logic through stoic logic to symbolic logic (20pts)
SECTION B
6. (a) Construct truth tables for conjunction, disjunction, implication and equivalence (4 marks)
(b) using the short hand method, determine the validity of the following arguments:
(i) p⊃ ). ( ⊃ )
p∨
_______
q∨
(ii) p⊃
(
.
)
r=∼
_______
∼
(iii) p⊃ ( ⊃ )
p⊃
________
p⊃r
(3x3 marks)
(c) Translate into logical notations of propositional functions and quantifiers
(i) some students are clowns.
(ii) Teachers are always graduates.
www.schoolfaqs.net
(iii) Thieves are never christains
(iv) if anything is beautiful, it is nice. (4x1marks)
(d) which rules of replacement have been stated below
(i) ∼
(
.
)
≡ (∼ ∨∼ )
(ii) p≡∼∼
(iii) (p∨ ) ≡ (q∨p) (3x1 mark)
(e) Derive and justify the conclusion from the following premise:
(i) A⊃B
(ii) C ∨ A
(iii) A
(iv) _ _ _ _ (1.5 mark)
PHILOSOPHY OF HISTORY
1. Distinguish between the philosophy of history and the history of philosophy (6mks)
2. discuss the various notions of History as studied in the philosophy of History (20 mks)
www.schoolfaqs.net
