MPYE-001 (2020-21) EM ISC

MPYE-001 Logic
Note:
i) Give answer of all five questions.
ii) All five questions carry equal marks.
iii) The answer of questions no. 1 and 2 should be in about 500 words.
iv) If any question has more than one part, attempt all parts.
1. a) What is Boolean algebra? Write a note on AND and OR Boolean Operators.
b) Write an essay on Logical gates, showing their graphical symbols and representation
in Truth table. 10+10= 20
Or
What is Multi valued logic? What is the role of symbolic logic in multi valued logic?
Discuss. 20
2. Explain Square of oppositions with some examples. What change existential imports
make in traditional square of opposition. 20
Or
What is conditional proof method? Write an essay on the significance and the advantage of
conditional proof method. 20
3. Answer any two questions in about 250 words each. (Word limit is only for theory
related questions) 2*10= 20
a) I) What is Quantification Theory? 5+5= 10
II) Apply quantification rules to prove the validity/invalidity of the following syllogistic
arguments.
i) All dogs are animal. All animal are living being. Therefore, No dogs are living
being.
ii) Some philosophers are Women. All philosophers are studious persons. Therefore
some studious persons are women.
b) Compare classical logic with symbolic logic. Give symbolic representation of
propositions. 10
c) What is the difference between material implication and logical implication? Give some
examples. 10
d) Write short notes on, i) fallacy of false cause, ii) converse fallacy of accident. 10
4. Answer any four questions in about 150 words each. (Word limit is only for theory
related questions) 4*5= 20
a) What is formal proof method? Explain. 5
b) Explain the significance of random variable. 5
c) Differentiate between connotation and denotation with suitable examples. 5
d) “All sentences are not propositions.” Discuss. 5
e) Symbolize the following using quantifiers. 1+1+1+1+1=1= 5
i) Some birds are white.
ii) All men are tall.
iii) No donkeys are banana-lover.
iv) All Indians are not businesspersons.
v) Some good books are not expensive.
f) What are the factors which determine the mood of a syllogism? 5
5. Write short notes on any five in about 100 words. 5*4= 20
a) Fuzzy Logic 4
b) Existential Instantiation 4
c) Categorical Syllogism 4
d) Deductive reasoning 4
e) Modus Tollens 4
f) Dilemma 4
g) Enthymeme 4
h) Tautology 4