CPSC 121 Study Guide - Midterm Guide: Without Loss Of Generality, Irrational Number, Rational Number
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CPSC 121 Full Course Notes
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Cpsc 121 :: 2011s :: midterm 2 :: 2011. 07. 18. [10 marks] average: 8. 2 (median: 8. 25, mode: 10) Rewrite the following statements formally without de ning any new domains or predicates: part a. X a, h(x) part c. [2 marks] The only animals in our world are dogs. X a, d(x) part d. [2 marks] Bob is the only human in our world that eats pigs. X a, y a, (h(x) p (y) e(x, y)) (x = bob) part e. [2 marks] It"s a dog eat dog world. (all dogs eat all other dogs). X a, y a, (d(x) d(y) (x (cid:54)= y)) e(x, y) [10 marks] average: 5. 5 (median: 4. 5, mode: 3) Re-write the following statement formally, and then prove or disprove the statement: For any positive rational numbers x and z, where x < z, there exists a positive rational number y such that x < y < z.
