Introduction to Logic
by
Stefan Waner and Steven R. Costenoble

Answers to Exercises
for
Section 3: The Conditional and the Biconditional

2. Logical Equivalence, Tautologies and Contradictions 3. The Conditional and the Biconditional 4. Tautological Implications and Tautological Equivalences Main Logic Page "Real World" Page
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1. T3. T5. T
7. Not a statement 9. T11. T
13. F15. T17. T
19. T21. T23. F
25. T27. T

47. Contrapositive: "If I do not exist, then I do not think."

Converse: "If I am, then I think."

49. Contrapositive: "If I am not Buddha, then I think."

Converse: "If I am Buddha, then I do not think."

51. Contrapositive: "These birds do not flock together only if they are not of a feather."

Converse: "These birds flock together only if they are of a feather."

53. Contrapositive: "In order not to sacrifice beasts of burden, it is necessary not to worship Den."

Converse: "In order to sacrifice beasts of burden, it is necessary to worship Den."

55. "Either I exist, or I do not think."

57. "Either symphony orchestras are subsidized by the government, or they will cease to exist."

59. "Either our society wishes research in the pure sciences to cease, or it will continue."
61. p~q 63. p~q 65. p~q
67. ~qp 69. q~p

2. Logical Equivalence, Tautologies and Contradictions 3. The Conditional and the Biconditional 4. Tautological Implications and Tautological Equivalences Main Logic Page "Real World" Page
Return to Exercises

We would welcome comments and suggestions for improving this resource. Mail us at:
Stefan Waner (matszw@hofstra.edu) Steven R. Costenoble (matsrc@hofstra.edu)
Last Updated: July, 1996
Copyright © 1996 StefanWaner and Steven R. Costenoble