Explain the significance of random variable.
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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. What is Boolean algebra? Write an essay on Logical gates, showing their
graphical symbols and representation in Truth table. 5+15= 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. 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) Write a note on existential import. 10
b) Apply quantification rules to prove the validity/invalidity of the following syllogistic
arguments. 4*2.5= 10
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.
iii) No men are mortal. Ram is a man. Therefore, Ram is not mortal.
iv) Some musicians are singer. Some cricketers are singer. Therefore some musicians
are cricketers.
c) Write a note on the significance of symbolic logic.
d) What is the difference between material implication and logical implication? Give some
examples. 10
4. Answer any four questions in about 150 words each. (Word limit is only for theory
related questions) 4*5= 20
a) Write a note on fallacy of false cause. 5
b) Explain the significance of random variable. 5
c) Differentiate between proposition and argument 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) All birds are black.
ii) Some women are academicians.
iii) No singers are musicians.
iv) Some Indians are not businesspersons.
v) All good books are not expensive.
f) Write a note on the figure of a syllogism? 5
5. Write short notes on any five in about 100 words. 5*4= 20
a) Converse fallacy of accident 4
b) Multi-valued logic 4
c) Categorical Syllogism 4
d) Inductive reasoning 4
e) Modus Ponens 4
f) Dilemma 4
g) Enthymeme 4
h) Logic 4
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