My Math Forum axiomatic descriptions of even size or odd size

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 March 23rd, 2016, 07:22 AM #1 Newbie   Joined: Mar 2016 From: sydney Posts: 2 Thanks: 0 axiomatic descriptions of even size or odd size As I just known what is axiomatic descriptions, I still confused about how to description. Can someone help to give the axiomatic descriptions for even size or odd size to let me know it clearly. TY.
 March 23rd, 2016, 07:30 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 An "even number" is an integer that is divisible by 2 so can be written in the form 2k for some integer k. An "odd number" is an integer that is NOT divisible by 2 so can be written in the form 2k+ 1 for some integer k. You don't say what kind of thing has "even size" or "odd size". I presume it is something where "size" must be integer. In that case it has "even size" if and only if its "size" is an even integer, "odd size" if and only if its "size" is an odd integer. (That's my guess at what you are asking. You give your location as "Sydney" (I presume Sydney, Australia) so it is odd that your English is so hard to understand.)
March 23rd, 2016, 05:18 PM   #3
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 Originally Posted by Country Boy An "even number" is an integer that is divisible by 2 so can be written in the form 2k for some integer k. An "odd number" is an integer that is NOT divisible by 2 so can be written in the form 2k+ 1 for some integer k. You don't say what kind of thing has "even size" or "odd size". I presume it is something where "size" must be integer. In that case it has "even size" if and only if its "size" is an even integer, "odd size" if and only if its "size" is an odd integer. (That's my guess at what you are asking. You give your location as "Sydney" (I presume Sydney, Australia) so it is odd that your English is so hard to understand.)
Evensize, a set containing an even number of integers. That's the define by the question. So what I want to ask is its axiomatic descriptions. I know what it is. but I have no idea how to use axiomatic descriptions to describe it.

 March 24th, 2016, 02:41 PM #4 Global Moderator   Joined: May 2007 Posts: 6,756 Thanks: 696 The concepts of even and odd are described by definition. What do you have in mind by the term "axiomatic description"?

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