{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Intro to Analysis in-class_Part_6

# Intro to Analysis in-class_Part_6 - 1.1 Quantiers 17 Note...

This preview shows pages 1–2. Sign up to view the full content.

1.1 Quantifiers 17 Note: one implication is valid. x, y, A ( x, y ) = ⇒ ∀ y, x, A ( x, y ) . 1.1.3 Exercises: #3 Due: Jan. 29 Question 3. Interpret in words: x, y, y > x but not y, x, y > x . ( x, y are integers)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
18 Math 413 Preliminaries 1.2 Infinite Sets 1.2.1 Countable sets Definition 1.2.1. Two sets A and B have the same cardinality iff they can be put in one-to-one correspondence, i.e., if every element of A corresponds to a unique element of B ; all elements are “paired off”. Cardinality is “size” for finite sets, but it works for infinite sets, too. Definition 1.2.2. A set A is infinite iff there is a proper subset B A which has the same cardinality as A . Definition 1.2.3. A set A is countable
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern