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No. Quantity is independent of quality. The number of items is not an attribute of an item.

I’m really sorry, but I only got an answer about quantity from the other stackexchanges. I really want to know whether order is quality or not.

SonOfThought
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ueueue
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  • No, because an object can be sometimes the first and sometimes the second; it is more a relation. – Mauro ALLEGRANZA May 02 '21 at 13:27
  • Not any arbitrary set can be ordered well like a strict google page sorting, order is intimately related with a famous self-evident axiom called AC (axiom of choice). In some math model we can discard this axiom, then order may not be always possible thus becomes neither a quantity nor a quality. In the most cases with AC such as ZFC, order is a type of quantity called ordinal thus it's definitely counted same as our usual type of quantity called number... – Double Knot May 02 '21 at 22:00
  • If you downvote posts, please give a reason. – CriglCragl Oct 04 '21 at 17:16

2 Answers2

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I appreciate your hard work for getting an answer to a question regarding an abstract idea. So, let me share some of my ideas.

Order is not a quality. But in some cases, it may have some relation with quality. Sometimes that quality may be unknown. Eg: The order of planets. In other words, quality may determine order; but not always. Sometimes a particular order can happen by accident.

If the objects are arranged in different order, we cannot say anything about their quality just by considering their order. I mean, any of its characteristic or feature. That means, order does not necessarily imply quality. In other words, order is not a quality. If order can give quality (or is a quality), a different order must always increase or decrease any of its quality. But this never happens.

You can consider this also: The position or order of (the parents') children never indicates their quality/ability. Can we ever come to a conclusion that the first son is better/worse than the second and the third better/worse than the second?

So, IMHO, no need of a doubt about it.

SonOfThought
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In physics, ordering is a quality.

Bosons can be in the same groundstate, making them interchangeable, fermions not & can't. Basically all of chemistry results from electrons being fermions, & protons not.

Entropy is another property of ordering, with profound implications for qualities, for dynamics.

We see emergent synergies, where a critical amount of something develops different behaviours, eg neurons in a brain.

"number of items is not an attribute of an item."

There's a hidden premise here. That the item/s fully isolated. Thermal properties belong to a bulk, groundstates relate to group properties, neurons have organisational intelligence (eg convolutional neural networks that perform successive analysis). But the wider properties don't belong to the item, but to an assembly.

CriglCragl
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