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 Conferences The CTK Exchange Middle school Topic #71 Printer-friendly copy     Email this topic to a friend Reading Topic #71
Stephen
guest
Aug-08-02, 07:45 PM (EST)

"Math"

 I wanted to know it there was a definition for the four basic operations.

alexb
Charter Member
791 posts
Aug-09-02, 02:51 PM (EST)

1. "RE: Math"
In response to message #0

 >I wanted to know it there was a definition for the four >basic operations. Yes, there are definitions, but the definitions come with the system of axioms and a manner in which the numbers have been defined. The definitions are given separately for operations on natural numbers, integers, rational fractions, reals, complex numbers, etc. And all those groups of numbers could be defined in several ways. The definitions of operations would be adapted accordingly.

Michael Klipper
guest
Aug-12-02, 09:24 PM (EST)

2. "RE: Math"
In response to message #0

 As Alex Bogomolny said, there are definitely many different ways to define the operations we work with. Some of them are really interesting, because they're good exercises at building theorems from the ground up and proving things.This isn't as important in middle school, but proofs become crucial in later math. If you're interested in checking out a possible definition, check out an article (probably from this site) on Peano Arithmetic. It only works for whole numbers, and it doesn't do division, but it does do a lot of cool things.