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

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Homework Help Overview

The discussion revolves around the conceptual understanding of integers, specifically the nature of positive and negative values, using the integer 4 as a reference point. Participants are exploring why the positive value is often considered the 'normal' state and questioning the existence of a neutral state for integers.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the interpretation of positive and negative integers, discussing whether they represent different states or quantities. There is an exploration of the concept of magnitude versus direction in relation to integers.

Discussion Status

The discussion is ongoing, with participants expressing differing views on the nature of integers and their properties. Some guidance has been offered regarding the distinction between positive and negative integers, but there is no clear consensus on the interpretation of these concepts.

Contextual Notes

Participants are grappling with the definitions and implications of integers, particularly in the context of their positive and negative forms. There is an underlying assumption that integers can be viewed in terms of magnitude and direction, which is being questioned.

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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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