# Equality of Sets

Pronunciation: /ɪˈkwɒl.ɪ.ti ʌv sɛtz/ Explain

Two sets are equal to each other if they contain exactly the same members[2]. Stated mathematically: A = B iff AB and BA. This means that if set A contains everything in set B and set B contains everything in set A, then the two sets have exactly the same contents and are equal.

### References

1. McAdams, David E.. All Math Words Dictionary, equality of sets. 2nd Classroom edition 20150108-4799968. pg 70. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Jech, Thomas. Set Theory. 3rd edition. Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, CSLI, Stanford University. Last Accessed 7/9/2018. http://plato.stanford.edu/entries/set-theory/. Buy the book
3. Goldrei, D.C.. Classic Set Theory: For Guided Independent Study. pg 3. Chapman & Hall Mathematics. July 1, 1996. Last Accessed 7/9/2018. Buy the book
4. Robert R. Stoll. Set Theory and Logic. pp 29-33. Dover Publications. October 1, 1979. Last Accessed 7/9/2018. Buy the book
5. Goldberg, Samuel. Probability: An Introduction. pg 5. www.archive.org. Prentice Hall. 1960. Last Accessed 7/9/2018. http://www.archive.org/stream/probailityanintr000991mbp#page/n22/mode/1up/search/equal. Buy the book

• McAdams, David E.. Set. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 12/15/2009. https://www.allmathwords.org/en/s/set.html.

McAdams, David E. Equality of Sets. 4/20/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/e/equal_set.html.

### Revision History

4/20/2019: Updated expressions and equations to match new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)