Mark44 said:How about this mapping:
2 --> 1
4 --> 2
6 --> 3
8 --> 4
.
.
.
2k --> k
This mapping is 1-to-1 and onto. What does that say about the cardinality of the two sets?
Set theory is a branch of mathematics that deals with the study of collections of objects, known as sets. It provides a foundation for other branches of mathematics and is used to define concepts such as functions, relations, and numbers.
Naylor and Sell are the authors of the textbook "Set Theory By Naylor and Sell", which is commonly used as a reference for introductory courses in set theory. They are both mathematicians and educators, with extensive experience in teaching and research in the field of set theory.
The purpose of "Set Theory By Naylor and Sell Homework Problems" is to provide additional practice and exercises for students studying set theory. It covers a range of topics and includes challenging problems to help students deepen their understanding and mastery of the subject.
To use "Set Theory By Naylor and Sell Homework Problems" effectively, it is recommended to first read and understand the corresponding chapters in the textbook. Then, work through the problems in a systematic manner, using the solutions and explanations provided in the book to check your understanding and identify areas for improvement.
While it is designed for use in a classroom setting, "Set Theory By Naylor and Sell Homework Problems" can also be used for self-study. However, it is recommended to have a basic understanding of set theory before attempting the problems, and it may be helpful to seek guidance from a teacher or tutor if needed.