There are several ways to simulate optional parameters in Java.

Method overloading

Copyvoid foo(String a, Integer b) {
    //...
}

void foo(String a) {
    foo(a, 0); // here, 0 is a default value for b
}

foo("a", 2);
foo("a");

One of the limitations of this approach is that it doesn't work if you have two optional parameters of the same type and any of them can be omitted.

Varargs

a) All optional parameters are of the same type:

Copyvoid foo(String a, Integer... b) {
    Integer b1 = b.length > 0 ? b[0] : 0;
    Integer b2 = b.length > 1 ? b[1] : 0;
    //...
}

foo("a");
foo("a", 1, 2);

b) Types of optional parameters may be different:

Copyvoid foo(String a, Object... b) {
    Integer b1 = 0;
    String b2 = "";
    if (b.length > 0) {
      if (!(b[0] instanceof Integer)) { 
          throw new IllegalArgumentException("...");
      }
      b1 = (Integer)b[0];
    }
    if (b.length > 1) {
        if (!(b[1] instanceof String)) { 
            throw new IllegalArgumentException("...");
        }
        b2 = (String)b[1];
        //...
    }
    //...
}

foo("a");
foo("a", 1);
foo("a", 1, "b2");

The main drawback of this approach is that if optional parameters are of different types you lose static type checking. Furthermore, if each parameter has the different meaning you need some way to distinguish them.

Nulls

To address the limitations of the previous approaches you can allow null values and then analyze each parameter in a method body:

Copyvoid foo(String a, Integer b, Integer c) {
    b = b != null ? b : 0;
    c = c != null ? c : 0;
    //...
}

foo("a", null, 2);

Now all arguments values must be provided, but the default ones may be null.

Optional class

This approach is similar to nulls, but uses Java 8 Optional class for parameters that have a default value:

Copyvoid foo(String a, Optional<Integer> bOpt) {
    Integer b = bOpt.isPresent() ? bOpt.get() : 0;
    //...
}

foo("a", Optional.of(2));
foo("a", Optional.<Integer>absent());

Optional makes a method contract explicit for a caller, however, one may find such signature too verbose.

Update: Java 8 includes the class java.util.Optional out-of-the-box, so there is no need to use guava for this particular reason in Java 8. The method name is a bit different though.

Builder pattern

The builder pattern is used for constructors and is implemented by introducing a separate Builder class:

Copyclass Foo {
    private final String a; 
    private final Integer b;

    Foo(String a, Integer b) {
      this.a = a;
      this.b = b;
    }

    //...
}

class FooBuilder {
  private String a = ""; 
  private Integer b = 0;
  
  FooBuilder setA(String a) {
    this.a = a;
    return this;
  }

  FooBuilder setB(Integer b) {
    this.b = b;
    return this;
  }

  Foo build() {
    return new Foo(a, b);
  }
}

Foo foo = new FooBuilder().setA("a").build();

Maps

When the number of parameters is too large and for most of the default values are usually used, you can pass method arguments as a map of their names/values:

Copyvoid foo(Map<String, Object> parameters) {
    String a = ""; 
    Integer b = 0;
    if (parameters.containsKey("a")) { 
        if (!(parameters.get("a") instanceof Integer)) { 
            throw new IllegalArgumentException("...");
        }
        a = (Integer)parameters.get("a");
    }
    if (parameters.containsKey("b")) { 
        //... 
    }
    //...
}

foo(ImmutableMap.<String, Object>of(
    "a", "a",
    "b", 2, 
    "d", "value")); 

In Java 9, this approach became easier:

Copy@SuppressWarnings("unchecked")
static <T> T getParm(Map<String, Object> map, String key, T defaultValue) {
  return (map.containsKey(key)) ? (T) map.get(key) : defaultValue;
}

void foo(Map<String, Object> parameters) {
  String a = getParm(parameters, "a", "");
  int b = getParm(parameters, "b", 0);
  // d = ...
}

foo(Map.of("a","a",  "b",2,  "d","value"));

Please note that you can combine any of these approaches to achieve a desirable result.

For good order

if (spouseIsMale.orElse(false)) {
    System.out.println("There is a male spouse.");
}

Clear.

I agree that you should go with what makes more sense semantically, but I also find that, when the boolean argument is optional, the thing that fairly often makes more sense when omitting it is for it to have a default value of false - in languages that initialize instances of primitive types, false is generally the default value for a boolean.

It then acts as an "on" flag for the less commonly used feature. So that you have:

DoSomething(someParams);
DoSomething(someParams, true);

// Or, if your language supports named parameters
DoSomething(someParams, optionalFeature: true);

So, I would have a slight bias for the parameter to default to false, unless doing so feels unnatural (as in, it feels unnatural as a sentence when you read it). Sometimes, the exceptional behavior is better conceptualized as turning something off (for example, setters that take a boolean argument are often constructed this way, see Joop Eggen's answer; however, you should strive for encapsulation, and minimize the use of getters and setters).

If the feature controlled by the boolean argument is not less commonly used (in the general case), I wouldn't make it optional. Design for the general case. If there's a small number of users with applications that mostly use one value for the argument, they can create their own wrapper.

As for the logic inside the method, if it turns out that your choice makes it awkward to write conditionals, just introduce a new well-named variable with the flipped value (or a new variable that summarizes several boolean checks that repeat, or whatever) - it's not going to be a problem if your method is fairly short (which it should be - you shouldn't have a sprawling tree of nested if-statements in there).

Java does not support optional parameters in functions.

Instead, provide an overload to the function like this:

void myFunction(boolean parameter)
{
    /*ToDo - code here*/    
}

void myFunction()
{
    myFunction(true/*i.e. call the overload with a default to true*/);
}

Of, course, more than one parameter can be defaulted in this way and you can have multiple overloads to support different default schemes.

Use Boolean class

public String foo(Boolean addWhere){
    String query = "SELECT * FROM tbl";
    if(addWhere != null){
        query += (addWhere? " WHERE true" : " WHERE false");
    }
    return query;
}

Call it as following,

String q = foo(false);