Set Theory permeates much of contemporary mathematical thought.
Answers to exercises incorporated throughout the text appear at the end, along with an appendix featuring glossaries and other helpful information..
Discussions of general Theory lead to a study of ordered sets, concluding with a look at the paradoxes of set Theory and the nature of formalism and intuitionalism.
Breuer illustrates the grounding of finite Sets in arithmetic, permutations, and combinations, which provides the terminology and symbolism for further study.
All that is necessary to its grasp, declares author Joseph Breuer, is patience.
Although set Theory begins in the intuitive and the concrete, it ascends to a very high degree of abstraction.
Its progressive development leads from concrete finite Sets to cardinal numbers, infinite cardinals, and ordinals.
This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world.
Set Theory permeates much of contemporary mathematical thought
