So, friend, the way you want to do it using PHP, I do not know if it is possible, unless you pass an initial value from HTML to PHP and make an ajax request for PHP to process this number, increment in one and go back to the view.
I do not know what your purpose is and I do not know if you really need to use PHP, but anyway I'll post a solution here in javascript, it might give you the result you want ...
<html>
<form id = "formulario">
<input type = "submit" name = "Submit" value = "Go!">
<label id = "resultado">1</label>
</form>
<script type="text/javascript">
var i = 1;
$("#formulario").submit(function(e) {
e.preventDefault();
i++;
$("#resultado").html(i);
});
</script>
I'm using jquery ... stackoverflow does not let you copy all the code, but I hope you understand ...