Write an essay on infinite sets and infinite sizes, in which you demonstrate your understanding of the reading assignments, including but not confined to the following issues.

(1) What is the difference between finite and infinite?
(2) What is the difference between denumerable and non-denumerable?
(3) What is the difference between an infinite set and an infinite size?
(4) How many finite sizes are there?
(5) How many infinite sizes are there?

In this connection, the following readings are pertinent.

(1) Hardegree: A Theory of Numbers
(2) Hardegree: Infinite Sets and Infinite Sizes
(3) Suber, Infinite Reflections (+ Appendix)

Note: I regard this as a take-home exam that evaluates your mastery of the material in the reading assignments, as well as your ability to write cogently, clearly, and grammatically.

The following are required:

(1) a word-processed document (e.g., Microsoft Word; Microsoft Works Users please convert to RTF)
(2) with a title
(3) with your name
(4) single-spaced
(5) not longer than two pages
(6) delivered to me as an attachment to an email
(7) file must be named as follows -- last-name+hw3
(8) delivered by 11:59 p.m. on the due date