A Primer in Boolean Logic
Boolean logic allows you to combine words and phrases into search statements to retrieve documents from searchable databases. This tutorial will show you how to utilize Boolean logic to search the Internet.The Internet is a vast computer database. As such, its contents must be searched according to the rules of computer database searching. Much database searching is based on the principles of Boolean logic. Boolean logic refers to the logical relationship among search terms, and is named for the British-born Irish mathematician George Boole.
On Internet search engines, the options for constructing logical relationships among search terms often modify the traditional practice of Boolean searching. This will be covered in the section below, Boolean Searching on the Internet.
Boolean logic consists of three logical operators:
- OR
- AND
- NOT
OR logic
college OR university
- In this search, we will retrieve records in which AT LEAST ONE of the search terms is present. We are searching on the terms college and also university since documents containing either of these words might be relevant.
- This is illustrated by:
- the shaded circle with the word college representing all the records that contain the word "college"
- the shaded circle with the word university representing all the records that contain the word "university"
- the shaded overlap area representing all the records that contain both "college" and "university"
Here is an example of how OR logic works:
Search terms | Results |
---|---|
college | 396,482 |
university | 590,791 |
college OR university | 819,214 |
The more terms or concepts we combine in a search with OR logic, the more results we will retrieve.
college OR university OR campus
Search terms | Results |
---|---|
college | 396,482 |
university | 590,791 |
college OR university | 819,214 |
college OR university OR campus | 929,677 |
AND logic
poverty AND crime
- In this search, we retrieve records in which BOTH of the search terms are present
- This is illustrated by the shaded area overlapping the two circles representing all the records that contain both the word "poverty" and the word "crime"
- Notice how we do not retrieve any records with only "poverty" or only "crime"
Search terms | Results |
---|---|
poverty | 76,342 |
crime | 348,252 |
poverty AND crime | 12,998 |
poverty AND crime AND gender
Search terms | Results |
---|---|
poverty | 76,342 |
crime | 348,252 |
poverty AND crime | 12,998 |
poverty AND crime AND gender | 1,220 |
NOT logic
cats NOT dogs
- In this search, we retrieve records in which ONLY ONE of the terms is present, the one we have selected by our search
- This is illustrated by the shaded area with the word cats representing all the records containing the word "cats"
- No records are retrieved in the area overlapping the two circles where the word "dogs" appears, even if the word "cats" appears there too
Search terms | Results |
---|---|
cats | 86,747 |
dogs | 130,424 |
cats NOT dogs | 65,223 |
Combined AND and OR logic
Question: I want information about the behavior of cats.Search: behavior AND (cats OR felines)
You can combine both AND and OR logic in a single search, as shown above.
The use of parentheses in this search is known as forcing the order of processing. In this case, we surround the OR words with parentheses so that the search engine will process the two related terms as a unit. The search engine will use AND logic to combine this result with the second concept. Using this method, we are assured that the semantically-related OR terms are kept together as a logical unit.
Boolean Searching on the Internet
When you use an Internet search engine, the use of Boolean logic may be manifested in three distinct ways:- Full Boolean logic with the use of the logical operators
- Implied Boolean logic with keyword searching
- Boolean logic using search form terminology
1. Full Boolean logic with the use of the logical operators
This is classic Boolean searching. However, few search engines nowadays offer the option to do full Boolean searching with the use of the logical operators. It is more common for them to offer simpler methods of constructing search statements, specifically implied Boolean logic and search form terminology. These methods are covered below.If you want to construct searches using Boolean logical operators, you will need to experiment with search engines and see what happens. You can try some of the search statements shown below. Keep in mind that the search engine might require that the Boolean operators be typed in CAPITAL LETTERS. Don't forget that most search engines provide help pages that explain the kind of searching you can do on their sites.
Question: I need information about cats.
Boolean logic: OR
Search: cats OR felines
Question: I'm interested in dyslexia in adults.
Search: cats OR felines
Boolean logic: AND
Search: dyslexia AND adults
Question: I'm interested in radiation, but not nuclear radiation.
Search: dyslexia AND adults
Boolean logic: NOT
Search: radiation NOT nuclear
Question: I want to learn about cat behavior.
Search: radiation NOT nuclear
Boolean logic: AND, OR
Search: behavior cats OR felines
The last example is a tricky search on most search engines. It combines implied AND logic - designated by the space between the word "behavior" and "cats" - with the use of the Boolean OR
operator. You can give this search a try, but the search engine might
not process it as you intended. The safest way to conduct this type of
search is to use the advanced search page available on most search
engine sites. This will be shown in option #3 below (search form
terminology).
Search: behavior cats OR felines
2. Implied Boolean logic with keyword searching
keyword searching refers to a search type in which you enter words in a search box representing the concepts you wish to retrieve. Boolean operators are not used.implied boolean logic refers to a search in which symbols are used to represent Boolean logical operators. In this type of search, the absence of a symbol is also significant, as the space between keywords defaults to either OR logic or AND logic.
Nowadays, virtually all general search engines on the Web default to AND logic. In other words, when you type words into a search box and generate your search, Boolean AND logic is going on behind the scenes.
Implied Boolean logic is so common on Web search engines that it can be considered a de facto standard.
Question: I need information about cats.
Boolean logic: OR
Search: [no implied Boolean logic is available]
There are probably no general search engines on the Web that interpret the space between keywords as the Boolean OR. Rather, the space between keywords is interpreted as AND. To do an OR search, choose either option #1 above (full Boolean logic) or option #3 below (search form terminology).
Search: [no implied Boolean logic is available]
Question: I'm interested in dyslexia in adults.
Boolean logic: AND
Search: dyslexia adults
Question: I'm interested in radiation, but not nuclear radiation.
Search: dyslexia adults
Boolean logic: NOT
Search: radiation -nuclear
Notice the minus sign (-) in front of the word "nuclear".
Search: radiation -nuclear
Question: I want to learn about cat behavior.
Boolean logic: AND, OR
Search: [no implied Boolean logic is available]
Search: [no implied Boolean logic is available]
3. Boolean logic using search form terminology
Many search engines offer an advanced search page with a search form which allows you to choose the Boolean operators from a menu. Usually the logical operator is expressed with substitute terminology rather than with the operator itself.Question: I need information about cats
Boolean logic: OR
Search: Any of the words/At least one of the words/Should contain the words
Question: I'm interested in dyslexia in adults.
Search: Any of the words/At least one of the words/Should contain the words
Boolean logic: AND
Search: All of these words/Must contain the words
Question: I'm interested in radiation, but not nuclear radiation.
Search: All of these words/Must contain the words
Boolean logic: NOT
Search: Must not contain the words/Should not contain the words
Question: I want to learn about cat behavior.
Search: Must not contain the words/Should not contain the words
Boolean logic: AND, OR
Search: Combine options if the form allows multiple search logic, as in the example below.
Search: Combine options if the form allows multiple search logic, as in the example below.
Quick Comparison Chart:
Full Boolean vs. Implied Boolean vs. Search Form
Full Boolean vs. Implied Boolean vs. Search Form
Full Boolean | Implied Boolean | Search Form Terminology | |
---|---|---|---|
OR | college or university | [rarely available] | any of the words at least one of the words should contain the words |
AND | poverty and crime | poverty crime | all of these words must contain the words |
NOT | cats not dogs | cats -dogs | must not contain the words should not contain the words |
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