Math Definition: Inclusive & Exclusive

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SUMMARY

The mathematical definitions of "inclusive" and "exclusive" are clearly delineated in set theory and logic. "Inclusive" refers to including all elements under discussion, such as in the set of numbers between 0 and 1, inclusive, which includes both endpoints. Conversely, "exclusive" excludes the endpoints, as seen in the set of numbers between 0 and 1, exclusive. These terms are critical in understanding the "or" operation in logic, where inclusive means either or both conditions can be true, while exclusive means only one condition can be true.

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  • Concept of endpoints in numerical sets
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What's the general math definition for inclusive and exclusive? Thanks fr everything and ty :-p
 
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hkhero said:
What's the general math definition for inclusive and exclusive? Thanks fr everything and ty :-p

The "general" math definition is just the usual dictionary definition: "inclusive" means including everything under discussion and "exclusive" means excluding everything under discussion. Of course, what is under discussion depends upon the specific situation. In "the set of numbers between 0 and 1, inclusive" the word "inclusive" means that the endpoints, for which the word "between" is ambiguous, are included. In "the set of numbers between 0 and 1, exclusive" they are excluded.
 
Inclusive and exclusive are used in logic and set theory in the context of the"or" or "union" operation. Inclusive means either or both, while exclusive means either but not both.
 

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