<script type='text/javascript'>

$(document).ready( function(){
	$(':not(#mystub)').click( function(){
		$(this).remove();
	});
});  /// this is the bracket you were missing! if yo do it like this they should line up. ;)
$('#sub').live('click', function(){
	$.post('ajax.php',
		{name: $('#personName').attr('value') },
		function(returnedData){
			$('#mystub').empty().append("<div id=specialdiv>"+ returnedData +"</div>");

	    });
    });

    $('#closebutton').live('click', function(){
        $('#specialdiv').fadeOut();
    });

    </script>