Write an essay on numbers, numerals, and numeration, in which you demonstrate your understanding of the following issues.

(1) What is a number?
(2) What is a cardinal number?
(3) What is an ordinal number?
(3) What is a numeral?
(4) What is a number-word?
(5) What is a numeration system?

Give examples that support your explanation. Employ the use-mention distinction and quotation convention described in item #4 below. In this connection, the following readings are pertinent.

(1) Hardegree: Numbers and Counting
(2) Hardegree: Numeration Systems
(3) Hardegree: A Theory of Numbers
(4) Hardegree: Some Philosophical Distinctions

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+hw2
(8) delivered by 11:59 p.m. on the due date