thanks

- Thread starter Ryan$
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thanks

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Why not ponder multiplication? one orange * one orange = ?? Is THAT still "generally orange"? Does it even exist?

Are you talking about linear systems?

Are you talking about quantum systems in multiple, simultaneous states?

Are you talking about photo-superposition in photography?

Are you talking about a new layer of substrate in a geological structure?

Why would you EXPECT to be able to "visualize the superposition of things among things"? That is FAR to vague for any such expectation.

Distinct objects may be related. Does it have ANYTHING to do with "superposition"? Is that the same thing as simply grouping?

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X+Y is an Integer because the set of Integers is closed under addition.to be more direct … X is integer and Y is integer …

… [consider] X+Y is integer …

… so my question how it's integer? …

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Integer + Integer ==> Integer -- Closed

Integer / Integer ==> Might be an Integer, Might be a Rational Number, might not exist. -- Not Closed

Orange + Orange ==> Orange -- They don't magically turn into Soursops. -- Closed

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A set is "closed under addition" if adding any elements in the set results in another element in the set.what do you mean by "is closed under addition" ?!

If you add Integers together, you are guaranteed to get another Integer.

We can have closure with other operations, too. The set of Integers is closed under addition, subtraction, multiplication and exponentiation.

Another example: The set of

1 - 2 = -1

Subtraction with two elements of the set yielded an element that is not in the set.