Complementary Associations Theory

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A new approach to defining numbers based on complementary concepts was introduced, inviting feedback from the community. Initial responses included critiques of the abstract's clarity and logical structure, particularly regarding the assumptions made about sets and real numbers. Specific issues were raised about the implications of stating that two numbers, q and p, are members of the same set without clarifying their distinctness. The discussion emphasized the need for a more precise and logical presentation of the ideas to facilitate further exploration. Overall, the conversation highlighted the importance of clarity in mathematical definitions and arguments.
Doron Shadmi
Hello Dear people,


In the attached address you can find A new approach for the definition of a NUMBER, which is based on the complementary
concept: http://www.geocities.com/complementarytheory/CATpage.html

I'll appreciate your remarks and insights.

Thank you.


Yours,

Doron
 
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Nice pic

I'll appreciate your remarks and insights.
What do I think?
Nice pic, shame about the rest!

The One
 
Hi the one,
..., shame about the rest!
Please be more specific.

Yours,

Doron
 
Dear Doron,

Let me tell you that your abstract is even bound with problems... Let's dissect it, shall we?

A and B are sets.

q and p are numbers of R (the set of all real numbers).

No problem here. Maybe you should add "suppose" and change the second assumption so it becomes:

suppose A and B are sets.

suppose q and p are real numbers.

Now here lies the first problem:

Option 1: q and p are members of A , but then q is not equal to p .

By saying "option 1", do you mean "case 1"?

Btw let me tell you that you didn't mention anywhere that p is not equal q, so we cannot say "then q is not equal to p".

Let me give you an example.

suppose q and p are real numbers.[/color]

Now, q and p can both be 7, can't they (because there are no restrictions). Which means if a set A contains p, then A contains q. That means...

q and p are members of A[/color]

Which is case 1. But they are not different! So we CANNOT conclude that

but then q is not equal to p[/color]

You should address this problem before we continue the rest. You MAY have a great and revolutionary idea (which, I'm so sorry to say that I doubt), but you need to present it in a stepwise logical manner.

Did you mean:

suppose q and p are real numbers, with p not equal q.

Please reply

Thank you
 
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So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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