Dibrugarh University Arts Question Papers:PHILOSOPHY (Major) (Logic - Western)' November-2015

Course: 502
(Logic - Western)
Full Marks: 80
Pass Marks: 32
Time: 3 hours
The figures in the margin indicate full marks for the questions

1. Find out the correct answer: 1x8=8
  1. A proposition by itself is/is not an argument.
  2. No valid standard form categorical syllogism with a particular conclusion can have two particular/universal premises.
  3. When the truth value of is true and the truth value of is false, then the truth value of will be true/false.
  4. The symbolic expression of the phrase ‘there is at least one such that’ is.
  5. The relation between universal and existential quantification is expressed through square of proposition/opposition.
  6. The method of agreement/difference is based on the canon of elimination that whatever antecedent can be left out without prejudice to the effect can be no part of the cause.
  7. In analogy, we pass from particular to general/particular to particular.
  8. “The ground of induction is itself a result of induction” is a statement of Bain/Mill.
2. Write short notes on any four of the following: 4x4=16
  1. Relational proposition.
  2. Existential fallacy.
  3. Rules of replacement.
  4. Symbolization of singular proposition.
  5. Hume’s problem of induction.
3. What do you mean by sound argument? Explain the differences between Traditional logic and Modern logic. 3+8=11
Explain the square of opposition of propositions with suitable example. 11
4. Define syllogism. Explain any four general rules of syllogism. 4+8=12
Test the validity of the following syllogistic forms by means of a Venn diagram: 3x4=12
  1. AAA in the Second Figure.
  2. EIO in the Third Figure.
  3. AEE in the First Figure.
  4. IAI in the Fourth Figure.
5. Construct truth table for the following and find out whether they are tautologies, contradictions or contingent expressions: 2+2+2+2+3=11
Construct formal proof of validity for the following: 5½x2=11

6. What do you mean by predicate logic? Explain the rules of universal instantiation and existential generalization with examples. 3+8=11
Symbolize the following propositions by using quantifies: 2+2+3+2+2=11
  1. Men are all bird lovers.
  2. Nothing is both right and wrong.
  3. Not any atheist believes in God.
  4. A few students are meritorious.
  5. There are green cloths.
7. Explain probability. What are the grounds of probability? Explain them. 5+6=11
State and explain the joint method of agreement and difference after J. S. Mill. 11

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