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Math and Arithmetic
Algebra

How can the set of real numbers be structured to show the elements that are included in the set?


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2016-04-27 12:51:17
2016-04-27 12:51:17

It cannot be. The cardinality of the set of real numbers is the Continuum. This is greater than the total number of sub-atomic particles in the universe!

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5 6356 5463 34 6 That is just not true. Real numbers do not include complex numbers, that is, those that include the square root of -1, for example.

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Subtraction is definitely an operation defined on real numbers. I'm guessing you are actually asking why subtraction is not included as a commutative operation, this is because a-b is not always equal to b-a.

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By its very name .. it is UNDEFINED. Even in the Extended Real Number set containing +-infinity these elements are UNDEFINED.

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The grouping in which the numbers are taken does not affect the sum or product.


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