user11032: The term anattā (Pali) or anātman (Sanskrit) refers to the doctrine of "non-self", that there is no unchanging, permanent soul in living beings. 
If this is the case, then what exactly is being carried over from one life to the next in the cycle of reincarnation? And against which entity are Karma points being increased or decreased? 

user13375: A corollary question might be, "How is the doctrine of no-self compatible with reincarnation in this very life?"
Consider... if no-self is true, then what is it that continues from moment to moment in this very life? If there is something that continues from moment to moment in this very life, then can that something be understood in a compatible way with anatman? If so, then why couldn't it also be compatible with that something that continues from life to life??
On the contrary, it seems to me that believing that anatman is compatible with conventional understanding of self in this very life, but is somehow incompatible with a conventional understanding of self from life to life just betrays that anatman hasn't really been understood at all! Rather, someone who thinks this necessarily believes that a true self exists in this very life from moment to moment and then is utterly annihilated upon the breakup of the body. But that is clearly not compatible with the doctrine of no-self.
If you think about it carefully I think you'll find that the very question you are posing reveals an incorrect or insufficient understanding of anatman :)

user11009: When you light a candle with another candle, nothing transferred from first candle to the second candle.
When you copy a CD nothing physical transferred  from first CD to the second CD.
In cell division nothing physically transferred from first cell to the new cell.
The same way when one life end another life is crated.
Depend on the first the second is crated.

11032: <p>The term anattā (Pali) or anātman (Sanskrit) refers to the doctrine of "non-self", that there is no unchanging, permanent soul in living beings. </p>

<p>If this is the case, then what exactly is being carried over from one life to the next in the cycle of reincarnation? And against which entity are Karma points being increased or decreased? </p>
 13375: <p>A corollary question might be, "How is the doctrine of no-self compatible with reincarnation in this very life?"</p>

<p>Consider... if no-self is true, then <em>what is it</em> that continues from moment to moment in this very life? If there is <em>something</em> that continues from moment to moment in this very life, then can that <em>something</em> be understood in a compatible way with anatman? If so, then why couldn't it <em>also be compatible</em> with that <em>something</em> that continues from life to life??</p>

<p>On the contrary, it seems to me that believing that anatman is compatible with conventional understanding of self in this very life, but is somehow incompatible with a conventional understanding of self from life to life just betrays that anatman hasn't really been understood at all! Rather, someone who thinks this necessarily believes that a true self exists in this very life from moment to moment and then is utterly annihilated upon the breakup of the body. But that is <em>clearly not compatible</em> with the doctrine of no-self.</p>

<p>If you think about it carefully I think you'll find that <em>the very question you are posing</em> reveals an incorrect or insufficient understanding of anatman :)</p>
 11009: <p>When you light a candle with another candle, nothing transferred from first candle to the second candle.
When you copy a CD nothing physical transferred  from first CD to the second CD.
In cell division nothing physically transferred from first cell to the new cell.</p>

<p>The same way when one life end another life is crated.
Depend on the first the second is crated.</p>
