Abstract
Set theory is the foundation stone of the edifice of modern mathematics. The precise definitions of all mathematical concepts are based on set theory. Furthermore, the methods of mathematical deduction are characterized by a combination of logical and set-theoretical arguments. To put it briefly, the language of set theory is the common idiom spoken and understood by mathematicians the world over. From all this it follows that if one is to make any progress in higher mathematics itself or in its practical applications, one has to become familiar with the basic concepts and results of set theory and with the language in which they are expressed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Editor information
Rights and permissions
Copyright information
© 1975 VEB Bibliographisches Institut Leipzig
About this chapter
Cite this chapter
Gellert, W., Gottwald, S., Hellwich, M., Kästner, H., Küstner, H. (1975). Set theory. In: Gellert, W., Gottwald, S., Hellwich, M., Kästner, H., Küstner, H. (eds) The VNR Concise Encyclopedia of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-6982-0_15
Download citation
DOI: https://doi.org/10.1007/978-94-011-6982-0_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-011-6984-4
Online ISBN: 978-94-011-6982-0
eBook Packages: Springer Book Archive