title: VC Dimension of Circle, a special case
body: <p>I have read that a circle can shatter 3 point in 2D space, which is actually the VC Dimension of Circle.</p>
  <p>Let's say we have three points (5,2) (5,4) and (5,6).
  How can I draw a circle where (5,2) &amp; (5,6) are included with out (5,4)? That's not possible!<br />
  If it can not shatter then how come VC Dimension is 3 for a circle. Or am I wrong in assuming that in the definition of VC Dimension; a hypothesis has to shatter all possible scenarios of all possible subsets of space?</p>