user13240: I suspect this is a very Naive question.
But the answer will teach me a lot.
Why does this circuit work when I connect the Digital Input (Digial Pin 2) to Pin 4 of the push button. But does not when I connect the push button to Pin 3. I missing something about how power flows when the button is pushed. 
Ray K

user4143: Internally those little tactile switches look like this:

That means that the two pins on the same long side are connected together.  So you can use, when you hold the switch vertically as in the image on the page you link to the two left-hand pins are linked together, and the two right-hand pins are linked together.
So you can use either both the top pins, both the bottom pins, or the top left and bottom right or the top right and bottom left.
Using either both left hand pins or both right hand pins will be as if you were sat on the button and it was permanently pressed.

13240: <p>I suspect this is a very Naive question.<br>
But the answer will teach me a lot.</p>

<p>Why does <a href="https://www.arduino.cc/en/Tutorial/ButtonStateChange" rel="nofollow">this circuit</a> work when I connect the Digital Input (Digial Pin 2) to Pin 4 of the push button. But does not when I connect the push button to Pin 3. I missing something about how power flows when the button is pushed. </p>

<p>Ray K</p>
 4143: <p>Internally those little tactile switches look like this:</p>

<p><a href="https://i.stack.imgur.com/74KLh.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/74KLh.png" alt="enter image description here"></a></p>

<p>That means that the two pins on the same <em>long</em> side are connected together.  So you can use, when you hold the switch vertically as in the image on the page you link to the two left-hand pins are linked together, and the two right-hand pins are linked together.</p>

<p>So you can use either both the top pins, both the bottom pins, or the top left and bottom right or the top right and bottom left.</p>

<p>Using either both left hand pins or both right hand pins will be as if you were sat on the button and it was permanently pressed.</p>
