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Update index.md (#19772)

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Boolean algebra as it relates to the use of NOT for parenthetic expressions
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Laurie
2018-10-18 11:44:20 -04:00
committed by Josh Alling
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guide/english/logic/algebra-of-logic/index.md
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@ -15,6 +15,10 @@ The three basic operations in Boolean Algebra are `AND`, `OR`, and `NOT`. Consid
- `x OR y` is true if and only if either of `x`, `y` are true. If `x`, `y` are both true, `x OR y` is still true - `x OR y` is true if and only if either of `x`, `y` are true. If `x`, `y` are both true, `x OR y` is still true
- `NOT x` is true if and only if `x` is false and vice versa - `NOT x` is true if and only if `x` is false and vice versa
`NOT` of boolean statements can be refactored to apply directly to each variable. Consider the following :
- `NOT (x AND y) = NOT x OR NOT y`
- `NOT (x OR y) = NOT x AND NOT y`
### More Information: ### More Information:
- The Calculus of Logic: <a href='http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/CalcLogic.html' target='_blank' rel='nofollow'>George Boole</a> - The Calculus of Logic: <a href='http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/CalcLogic.html' target='_blank' rel='nofollow'>George Boole</a>
- Boolean algebra article: <a href='https://en.wikipedia.org/wiki/Boolean_algebra' target='_blank' rel='nofollow'>Wikipedia</a> - Boolean algebra article: <a href='https://en.wikipedia.org/wiki/Boolean_algebra' target='_blank' rel='nofollow'>Wikipedia</a>