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Set Notation and Quantifiers

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Reading, Writing, and Proving

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

Consider the sentence “The equation x 2+2x = 15 has a unique solution.” Thus far, we’ve approached such things intuitively. It’s time now to tackle this head on. Is it true? False? It depends on which x we have in mind, of course.We turn to a rigorous way to make our sentence x 2 +2x = 15 into a statement. But before we get to the heart of this chapter, it will be useful to have notation for the things with which we frequently work.

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Correspondence to Ulrich Daepp .

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© 2011 Springer Science+Business Media, LLC

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Daepp, U., Gorkin, P. (2011). Set Notation and Quantifiers. In: Reading, Writing, and Proving. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9479-0_4

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