University Of Pune Question Paper

F. Y. B. A. B. Ed. (Integrated) (Optional) Examination - 2010

PAPER - VI

LOGIC

(INTRODUCTION TO LOGIC AND PRINCIPLES OF REASONING)

(Group - IV)

(2008 Pattern)

Time : 3 Hours] [Max. Marks : 100

Instructions :

(1) All questions are compulsory.

(2) Figures to the right indicate full marks.

Q.1) Answer in twenty words each : (Any Ten) [20]

(1) Define Logic.

(2) What is Deduction ?

(3) What is a Proposition ?

(4) Define Obversion.

(5) What is a Fallacy ?

(6) Give classification of Propositions in Propositional Logic.

(7) Define Tautology.

(8) What is the difference between Rules of Inference and Rules of

Replacement.

(9) What is Opposition ?

(10) Give an example of a Categorical Proposition.

(11) Define Logical Constant.

(12) What are the limitations of Truth Table Method ?

(13) What is meant by the Distribution of Term ?

Q.2) Answer in fifty words each : (Any Five) [20]

(a) Explain Classification of Propositions by Aristotal. Give examples.

(b) Convert the following propositions :

(i) All men are mortal.

(ii) No politician is honest.

(iii) Some flowers are beautiful.

(iv) Some snakes are not poisonious.

(c) Explain the Four Fold Scheme of Categorical Propositions.

(d) Explain the Fallacy of Division with an example.

(e) Symbolize the following Propositions using the given symbols :

(i) It is not the case that if Argentina mobilizes then both Brazil

will protest to the UN and Chile will call for a meeting

of all the Latin American States. (A, B, C)

(ii) Brazil will not protest to the UN unless Argentina mobilizes.

(B, A)

(f) Explain Rule of Conditional Proof.

(g) Explain Mixed Hypothetical Syllogism. Give an example.

Q.3) Answer in one hundred and fifty words each : (Any Three) [30]

(a) Use the Method of Truth Table to decide whether the following

propositions are tautologies, contradictions or contingencies :

(i) (p ⊃ q) ⊃(~q ⊃ ~p)

(ii) (p . q) ⊃ p

(iii) p ⊃(p ∨ q)

(b) Use the Method of Truth Tree to determine the following

agruments are valid or invalid :

(i) p ⊃ q / ∴ p ⊃ (p . q)

(ii) (p ∨ q) ⊃ (p . q) ~ (p ∨ q) / ∴ ~ (p . q)

(iii) p / ∴ p ⊃ q

(c) Explain Method of Normal Forms. Give an example.

(d) Explain Concepts of Propositional Variables, Propositional

Constants and Logical Constants.

(e) What is a Deductive Proof ?

Q.4) (A) Demonstrate the validity of the following arguments with direct,

conditional or indirect proofs : (Any Three) [15]

(a) (i) T ⊃ U

(ii) V ∨ ~ U

(iii) ~ V . ~ W /∴ ~ T

(b) (i) (H ⊃ I) . (J ⊃ K)

(ii) K ∨ H

(iii) ~ K /∴ I

(c) (i) A ∨ (B ⊃ A)

(ii) ~ A . C /∴ ~ B

(d) (i) (D ∨ E) ⊃ (F . G)

(ii) D /∴ F

(B) Prove the invalidity of each of the following by the Method of

Assigning Truth Values : (Any Three) [15]

(a) (i) A ⊃ B

(ii) C ⊃ D

(iii) A ∨ D / ∴ B ∨ C

(b) (i) ~ (E . F)

(ii) (~E . ~F) ⊃ (G . H)

(iii) H ⊃ G / ∴ G

[3798]-127 3 P.T.O.

(c) (i) (I ∨ ~ J)

(ii) ~ (~K . L)

(iii) ~ (~ I . ~L) / ∴ ~ J ⊃ K

(d) (i) A (B ∨ C)

(ii) B (C ∨ A)

(iii) C (A ∨ B) / ∴ ~ A

(e) (i) M ⊃ (N ∨ O)

(ii) N ⊃ (P ∨ Q)

(iii) Q ⊃ R

(iv) ~ (R ∨ P) / ∴ ~ M

F. Y. B. A. B. Ed. (Integrated) (Optional) Examination - 2010

PAPER - VI

LOGIC

(INTRODUCTION TO LOGIC AND PRINCIPLES OF REASONING)

(Group - IV)

(2008 Pattern)

Time : 3 Hours] [Max. Marks : 100

Instructions :

(1) All questions are compulsory.

(2) Figures to the right indicate full marks.

Q.1) Answer in twenty words each : (Any Ten) [20]

(1) Define Logic.

(2) What is Deduction ?

(3) What is a Proposition ?

(4) Define Obversion.

(5) What is a Fallacy ?

(6) Give classification of Propositions in Propositional Logic.

(7) Define Tautology.

(8) What is the difference between Rules of Inference and Rules of

Replacement.

(9) What is Opposition ?

(10) Give an example of a Categorical Proposition.

(11) Define Logical Constant.

(12) What are the limitations of Truth Table Method ?

(13) What is meant by the Distribution of Term ?

Q.2) Answer in fifty words each : (Any Five) [20]

(a) Explain Classification of Propositions by Aristotal. Give examples.

(b) Convert the following propositions :

(i) All men are mortal.

(ii) No politician is honest.

(iii) Some flowers are beautiful.

(iv) Some snakes are not poisonious.

(c) Explain the Four Fold Scheme of Categorical Propositions.

(d) Explain the Fallacy of Division with an example.

(e) Symbolize the following Propositions using the given symbols :

(i) It is not the case that if Argentina mobilizes then both Brazil

will protest to the UN and Chile will call for a meeting

of all the Latin American States. (A, B, C)

(ii) Brazil will not protest to the UN unless Argentina mobilizes.

(B, A)

(f) Explain Rule of Conditional Proof.

(g) Explain Mixed Hypothetical Syllogism. Give an example.

Q.3) Answer in one hundred and fifty words each : (Any Three) [30]

(a) Use the Method of Truth Table to decide whether the following

propositions are tautologies, contradictions or contingencies :

(i) (p ⊃ q) ⊃(~q ⊃ ~p)

(ii) (p . q) ⊃ p

(iii) p ⊃(p ∨ q)

(b) Use the Method of Truth Tree to determine the following

agruments are valid or invalid :

(i) p ⊃ q / ∴ p ⊃ (p . q)

(ii) (p ∨ q) ⊃ (p . q) ~ (p ∨ q) / ∴ ~ (p . q)

(iii) p / ∴ p ⊃ q

(c) Explain Method of Normal Forms. Give an example.

(d) Explain Concepts of Propositional Variables, Propositional

Constants and Logical Constants.

(e) What is a Deductive Proof ?

Q.4) (A) Demonstrate the validity of the following arguments with direct,

conditional or indirect proofs : (Any Three) [15]

(a) (i) T ⊃ U

(ii) V ∨ ~ U

(iii) ~ V . ~ W /∴ ~ T

(b) (i) (H ⊃ I) . (J ⊃ K)

(ii) K ∨ H

(iii) ~ K /∴ I

(c) (i) A ∨ (B ⊃ A)

(ii) ~ A . C /∴ ~ B

(d) (i) (D ∨ E) ⊃ (F . G)

(ii) D /∴ F

(B) Prove the invalidity of each of the following by the Method of

Assigning Truth Values : (Any Three) [15]

(a) (i) A ⊃ B

(ii) C ⊃ D

(iii) A ∨ D / ∴ B ∨ C

(b) (i) ~ (E . F)

(ii) (~E . ~F) ⊃ (G . H)

(iii) H ⊃ G / ∴ G

[3798]-127 3 P.T.O.

(c) (i) (I ∨ ~ J)

(ii) ~ (~K . L)

(iii) ~ (~ I . ~L) / ∴ ~ J ⊃ K

(d) (i) A (B ∨ C)

(ii) B (C ∨ A)

(iii) C (A ∨ B) / ∴ ~ A

(e) (i) M ⊃ (N ∨ O)

(ii) N ⊃ (P ∨ Q)

(iii) Q ⊃ R

(iv) ~ (R ∨ P) / ∴ ~ M

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