Talk:Abstract Algebra/Sets and Compositions

I'd like to point out that the use of "natural numbers" isn't definitive. In some contexts it includes 0, and in others it doesn't. You may want to consider revising that part of the book.



Let us have a look of the following excerpt from the page"

"The Real numbers include the rational numbers, and also includes all the numbers that cannot be formed as a ratio of two integers. The Complex numbers are all "

1 + 2i is a complex number. Hence it is a number according to the above. Also it cannot be formed as a ratio of two integers. Thus according to the above definition of real numbers, 1 + 2i is a valid candidate for being a real number. Any definition in mathematics must be defining the underlying mathematical phrase, very much precisely. It cannot be vague or unclear or contradictory. Here it is. The definition of real numbers needs certain development and results. For example, you can refer to any good book on real analysis or any high school course.

202.141.99.51 14:48, 17 January 2007 (UTC)