Download presentation

Presentation is loading. Please wait.

1
Exercises for CS1512 Week 12 Sets (questions)

2
**List the members of these sets:**

{x | x is an integer x >0 x<12} {x | x is the square of an integer and x<100} {x | x is an integer such that x2 = 2} For each of the following sets, determine whether 2 is an element of that set {2,{3}} {{2},{2,{2}}} {{{2}}} Give the cardinality of the sets in questions 1 and 2.

3
**4. Which of the following statements are true?**

1{0,1,2,3} {0,1,2}{0,1,2,3} {0,1,2}{0,1,2,3} 0 {0} {} {} {} 5. Suppose AB and BC. Prove or disprove AC. ABC CDD C P(C)

4
4. Translate into English and determine the truth value of each of the following: (R is the set of real numbers.) xR(x2x) xR(x2-1) xR(x2x) xRyR(y=x+1) xRyR(y=x2)

5
**5. This exercise explores Russell’s paradox. First some easy bits:**

Is it true that {a}{a}? Why (not)? Define S={x|x{a,b,c}}. What is S? Define T={a,b,c,d,e}. What is {xT|x{a,b,c}}. Now for the hard part: d. Define V={x|xx}. Is VV? Why (not)? e. Define W={x|xx}. Is WW? Why (not)?

Similar presentations

OK

Exercise4.1 10. Exercise4.1 15 Exercise4.1 19 Exercise4.1 23.

Exercise4.1 10. Exercise4.1 15 Exercise4.1 19 Exercise4.1 23.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on business etiquettes training peaks Ppt on area of plane figures worksheets Ppt on event management company Ppt on finite difference method Bcd to 7 segment display ppt online Atoms for kids ppt on batteries Ppt on indian forest act 1927 Ppt on forest management in india Ppt on media research tools Ppt on conservation of momentum equation