Formal Logic — DU B.A. (Hons.) Philosophy Previous Year Question Papers

1. Explain the following: (Any Three) (6x3=18) (1) Sentence and Proposition (2) Truth and Validity (3) Quality and Quantity of Categorical propositions (4) Distribution of terms (ii) You can go to the movie, if you wash the car. (M, C) (iii) Books are expensive yet interesting. (B, I) (iv) She is athletic and creative, unless I am mistaken. ( A, C, M) (v) It is not the case that his business is fair or reputable. (F, R) (i) Truth function 5. (b) Provide Boolean interpretation of any two of the four categorical propositions. (2x2=4) Give the Boolean interpretation of EAI-II 5. (c) Symbolize the following using suggested notation. (Any Four ) (4x2=8) (i) Either it will rain tomorrow or it will be sunny. 2. (a) Reduce the following sentences into standard logical form: (Any Four) (4x1.5=6) (1) All engineers are not architects. FOR FATE BIPATE TRi BAI (2) Soldiers are never cowards. (3) Few politicians are corrupt. (4) A pen writes. (5) Only employees can access the office. (6) Many contractors are unreliable. (b) Explain the traditional square of opposition. Define Existential import. Discuss its impact on the traditional square of opposition. 4. (c) Determine the validity/invalidity of the following by shorter truth table method. (Any Two ) 1 5. (a) Write short notes on any one of the following (i) Importance of symbols in logic 4. (a) Use truth table method to determine whether the given statement forms are tautology, self-contradictory or contingent. (Any Two ) (b) Check the validity / invalidity of the following by truth table method. (Any One) (6x1=6) 2. (c) Give the Conversion, Obversion and Contraposition of the following: (Any Two ) (3x2=6) (i). All doctors are healers. (ii) No books are machines. (ill) Some teachers are mentors. 3. (a) Rewrite following syllogism in standard form, name its mood and figure and test its validity using • syllogistic rules and fallacy method. (Any One) (i) No television stars are certified public accountants, but all certified public accountants are people of good business sense; it follows that no television stars are people of good business sense. (ii) Some successful people are not rich and some businessmen are rich, therefore some businessmen are successful people. (b) Test the validity of each syllogistic form using a Venn diagram. (Any Two) (3x2=6) (c) Test the validity / invalidity of each syllogistic form by rules of syllogism (Any Two ) (3x2=6)