MPYE 001 Logic
Solved Assignment 2020-21
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.
Or
What is
Multi valued logic? What is the role of symbolic logic in multi valued logic?
Discuss.
2.
Explain Square of oppositions with some examples. What change existential
imports make in traditional square of opposition.
Or
What is
conditional proof method? Write an essay on the significance and the advantage of
conditional proof method.
3. Answer
any two questions in about 250 words each. (Word limit is only for theory
related questions)
a) I)
What is Quantification Theory?
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.
c) What
is the difference between material implication and logical implication? Give
some examples.
d) Write
short notes on,
i)
fallacy of false cause,
ii) converse
fallacy of accident.
4. Answer
any four questions in about 150 words each. (Word limit is only for theory
related questions)
a) What
is formal proof method? Explain.
b)
Explain the significance of random variable.
c)
Differentiate between connotation and denotation with suitable examples.
d) “All
sentences are not propositions.” Discuss.
5 e)
Symbolize the following using quantifiers.
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. Write
short notes on any five in about 100 words.
a) Fuzzy
Logic
b)
Existential Instantiation
c)
Categorical Syllogism
d)
Deductive reasoning
e) Modus
Tollens
f)
Dilemma
g)
Enthymeme
h)
Tautology
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