Conditional method chaining in apex

I have a class LogException

public class LogException extends Exception {
public String ModuleName {get; set;}
public String StackTrace {get; set;}
public String ClassName {get; set;}
public String MethodName {get; set;}
public String ExceptionCause {get; set;}

public void log(Exception ex)
{
    try
    {
        extractExceptionData(ex); 
        writeToObject(ex); 

    }
    catch(Exception e)
    {
         new LogException().Module('LogException').log(e);            
    }

}

public LogException Module(String Name)
{
    ModuleName = name;
    return this;
}

public LogException ExceptionCause(String cause)
{
    ExceptionCause = cause;
    return this;
}

public void extractExceptionData(Exception ex)
{
    try
    {
        stackTrace = ex.getStackTraceString().substringBefore('\n');
        className = stackTrace.substringAfter('.').substringBefore('.');    
        methodName = stackTrace.substringBefore(':').substringAfter(className).substringAfter('.');    
    }
    catch(Exception e)
    {
        new LogException().Module('LogException').log(e); 
    }

}

public void writeToObject(Exception ex)
{
    try
    {
        // insert to object(database) here   
    }

    catch(Exception e)
    {
        new LogException().Module('LogException').log(e);     
    }

}

}

I implemented method chaining here. Therefore, I can call methods like

new LogException().Module('unitTestModule').Log(ex);

new LogException().ExceptionCause('divided by zero').Log(ex);

new LogException().Module('unitTestModule').ExceptionCause('Probably no data in account').Log(ex);

new LogException().ExceptionCause('Probably no data in account').Module('unitTestModule').Log(ex);

My question is, how can I implement the class so that, I can only call ExceptionCause right after Module or vice versa.