shahar
Full Member
- Joined
- Jul 19, 2018
- Messages
- 497
"Number" Theory vs. The term Number vs. Diophantine equation - context meaning
Let me understand the terminology of math thing that I used.
OK.
Write for me true or false. And tell me why (if you want to)
(1) Number theory deal with concepts of Natural Number.
(2) Natural Number is positive number (x > 0).
(3) You can also define positive number as x belong to N and 0 belong to N or as can be define in terminology: non-negative integer number or: x >=0 N).
(4) In some "books" (1) and (2) statement can be use to answer by context but each book choose for you what you have to use.
(5) Equations that the results is Natural called Diophantine equation.
(6) There is not such terminology: Diophantine number. So the only terminology is Natural number.
(a) Is there a special field in math that deal only in the topic: real number,
If (a) is true so Why?
My "feeling is" because:
(1) historical reasons.
(2) you can't elaborate the terms of Natural number to Real Number? Because it a doing a "paradox"?
(b) Why there aren't tools to deal to with real numbers like Natural Number?
That all for now.
Let me understand the terminology of math thing that I used.
OK.
Write for me true or false. And tell me why (if you want to)
(1) Number theory deal with concepts of Natural Number.
(2) Natural Number is positive number (x > 0).
(3) You can also define positive number as x belong to N and 0 belong to N or as can be define in terminology: non-negative integer number or: x >=0 N).
(4) In some "books" (1) and (2) statement can be use to answer by context but each book choose for you what you have to use.
(5) Equations that the results is Natural called Diophantine equation.
(6) There is not such terminology: Diophantine number. So the only terminology is Natural number.
(a) Is there a special field in math that deal only in the topic: real number,
If (a) is true so Why?
My "feeling is" because:
(1) historical reasons.
(2) you can't elaborate the terms of Natural number to Real Number? Because it a doing a "paradox"?
(b) Why there aren't tools to deal to with real numbers like Natural Number?
That all for now.