The name 'Boolean' came from a gentleman name Boole who worked out "an algebraic system of logic" that ended up being useful for talking to computers roughly a century later.
All you need to know, though, is that it's also useful for talking to database search engines. And it's easier than it sounds, especially because database interfaces have been deliberately designed to make it so.
AND - Tells the database that both words on either side of the 'AND' have to be in the search results
OR - Tells the database that one or the other word on either side of the 'OR' needs to be in the search results - you'll take either, you'll take both
NOT - Tells the database that the word right after 'NOT' must not be in your search results
You can choose between the 3 connectors in a pull-down menu right next to the start of each search box. However, since most people use Boolean 'OR' when they want to find synonyms of a search word, I suggest this:
Be careful with this one - most people don't have to use 'NOT', and it's easy to cut out a lot of results that might have been useful.
The situation in which a searcher might want to use 'NOT' is when the results are a mix of good ones, but the rest are appearing because one of your search words might mean something specific, but in another discipline than the one you need results from - and it's annoying the heck out of you; you want to see if you can cut out that specific, 'incorrect' subset of results.
As a hypothetical example...say you're looking for Nursing articles, and are using a specific term or acronym that you feel you HAVE to use...and it coincidentally means something different in Engineering research! You may be able to cut out at least some of the unwanted engineering articles by doing the following: