By Robert R. Christian

ISBN-10: 1114236136

ISBN-13: 9781114236134

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**Extra info for Introduction to logic and sets**

**Sample text**

P(Mama)? p(Richard)? being proud, what is p(Papa) an abbrevia The record of the Boola College football team one season was as 2 . follows: Boola 40 Boola 19 Riverford Boola 21 State Let F Podunk Boola 2 14 Boola 19 6 Boola 3 (a) the following conditions Tech Use braces . 20 19 Ivy List be the set of Boola' s opponents that season. truth sets of each of York 33 6 the elements of the . Boola beat x (b) x beat Boola (c) Boola beat x by more than 14 points (d) x beat Boola by more than 14 points (e) x scored more than 14 points against Boola 3.

A) Write a truth table of a black box for playing an electrical analogue of this game . (b) Express the output of such a box in terms of the inputs and the standard black boxes . 5. Election to a certain exclusive club requires the approval of all three members of club's committee on memberships. the A member indicates approval by dropping a white ball into a bag and disapproval by dropping a black ball. The presence of one or more black balls indicates that the candi date is done electrically.

Let K be the set [1, 4, 9, 10, the following sets . (a) (b) {xt K {xf (c) {xC (d) list |x i K K K | | | | Use braces List . 11} x2/16} (e) {xt K x+ 1= K} (g) {xi K {x t K is of each of . (f) {x€ K x+ 5=9} x the elements (h) even} | | | | ~(x is even)} x+ 5=7} x2 x2 - 5x+ - 3x+ 4 = 0} 2=0} 4. If P is the set of all Pacific Coast States of continental United States, the elements (a) (b) (c) jx P | {x( P | £ (xf P| (d) {x* P (e) { x fc P (f) {x i P (g) {x € (h) {x 6 5. of each of the following sets P P If L is | | | | | .

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