java - When should null values of Boolean be used?

Question

Java boolean allows values of true and false while Boolean allows true, false, and null. I have started to convert my booleans to Booleans. This can cause crashes in tests such as

Boolean set = null;
...
if (set) ...

while the test

if (set != null && set) ...

seems contrived and error-prone.

When, if ever, is it useful to use Booleans with null values? If never, then what are the main advantages of the wrapped object?

UPDATE: There has been such a lot of valuable answers that I have summarised some of it in my own answer. I am at best an intermediate in Java so I have tried to show the things that I find useful. Note that the question is "incorrectly phrased" (Boolean cannot "have a null value") but I have left it in case others have the same misconception

Answer 1

Use boolean rather than Boolean every time you can. This will avoid many NullPointerExceptions and make your code more robust.

Boolean is useful, for example

• to store booleans in a collection (List, Map, etc.)
• to represent a nullable boolean (coming from a nullable boolean column in a database, for example). The null value might mean "we don't know if it's true or false" in this context.
• each time a method needs an Object as argument, and you need to pass a boolean value. For example, when using reflection or methods like MessageFormat.format().