Why is the positive value considered the 'normal' state for integers?

AI Thread Summary
The discussion centers on why positive integers, like 4, are considered the 'normal' state, while negative integers, such as -4, are viewed as distinct. Participants clarify that +4 and -4 are not two states of the same number but rather different quantities with opposite signs. The concept of magnitude is discussed, emphasizing that both numbers share the same magnitude but differ in direction. The conversation also distinguishes between numbers and vectors, noting that numbers do not inherently possess direction. Ultimately, the notion of a neutral integer, such as (4), is deemed non-existent since integers are defined by their positive or negative values.
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Suppose I think of any integer. In this case, 4. 4 has a negative and positive state -4 and +4.

My question is, why is the positive value viewed as the 'normal' state for the number to take? Why isn't there a number 4 that isn't positive nor negative?

+4 (4) -4

Why doesn't (4) exist?

Do you know what I mean?
 
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why is the positive value viewed as the 'normal' state for the number to take?
It isn't. +4 and -4 are not two states of the number four, they are different numbers.

You do know what a "number" is right?
 
Simon Bridge said:
It isn't. +4 and -4 are not two states of the number four, they are different numbers.

You do know what a "number" is right?

I see. But they have the same magnitude but are opposite to each other.

+4 and -4 same quantity but opposite. So why can't (4) have a quantity but no direction?
 
You are still not getting it.
Neither number has a direction by itself.
They are each different quantities.
-4 and 4 are as different as 1 and 9.

A vector has a magnitude and a direction. Different beastie.
 
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