user9319: Kasparov apparently said: 

By strictly observing Botvinnik's rule regarding the thorough analysis
  of one's own games, with the years I have come to realize that this
  provides the foundation for the continuous development of chess
  mastery.

Does anyone know what this rule is precisely that Kasparov refers to and/or in what source Botvinnik stated the rule?

user167: The following passage is from Botvinnik's foreword to his 100 Selected Games. The text here doesn't single out one's own games as the specific object of analysis, but it leaves no doubt about Botvinnik's belief that improving at analysis in general is crucial to becoming a strong player.

I must mention one other possibility of achieving perfection which I myself have always tried to carry out.
What is the essence of a chess master's art? Fundamentally it consists of the ability to analyse chess positions. True, at the board you must be able to analyse very quickly and without touching the men; but in the last resort, whether you are working out the possible variations or estimating the actual position, chess is the art of analysis.
Home analysis has specific features of its own: you are not restricted by time, and you can move the men freely. Despite this difference between home analysis and practical play, there is much in common between them. It is a well known fact that almost all the outstanding chess-players have been first-class analysts.
The deduction is irresistible: anyone who wishes to become an outstanding chess-player must aim at perfection in the realm of analysis.

Botvinnik goes on to suggest that in, order not to let oneself drift away from being objective in one's analysis, one should also publish it, opening it up to the scrutiny of others.

user4418: I think in Yermolinski's "The Road to Chess Improvement" he says that he decided to follow "the most common advice one can find in the works of Alekhine and Botvinnik , which can be put into simple words - study your games". Of course Yermolinski takes it much further saying that "study your games" means to do a thorough analysis of each of your games even going as far as to write full annotations for them.
The closest I find in Botvinnik quotes is:

I claim that nothing else is so effective in encouraging the growth of
  chess strength as such independent analysis, both of the games of the
  great players and your own

This can be found in several quote sites - http://chess-quotes.blogspot.co.uk/2014/07/botvinnik.html is one such example.

9319: <p>Kasparov apparently said: </p>

<blockquote>
  <p>By strictly observing Botvinnik's rule regarding the thorough analysis
  of one's own games, with the years I have come to realize that this
  provides the foundation for the continuous development of chess
  mastery.</p>
</blockquote>

<p>Does anyone know what this rule is precisely that Kasparov refers to and/or in what source Botvinnik stated the rule?</p>
 167: <p>The following passage is from Botvinnik's foreword to his <em>100 Selected Games</em>. The text here doesn't single out one's <em>own</em> games as the specific object of analysis, but it leaves no doubt about Botvinnik's belief that improving at analysis in general is crucial to becoming a strong player.</p>
<blockquote>
<p>I must mention one other possibility of achieving perfection which I myself have always tried to carry out.</p>
<p>What is the essence of a chess master's art? Fundamentally it consists of the ability to analyse chess positions. True, at the board you must be able to analyse very quickly and without touching the men; but in the last resort, whether you are working out the possible variations or estimating the actual position, chess is the art of analysis.</p>
<p>Home analysis has specific features of its own: you are not restricted by time, and you can move the men freely. Despite this difference between home analysis and practical play, there is much in common between them. It is a well known fact that almost all the outstanding chess-players have been first-class analysts.</p>
<p>The deduction is irresistible: anyone who wishes to become an outstanding chess-player must aim at perfection in the realm of analysis.</p>
</blockquote>
<p>Botvinnik goes on to suggest that in, order not to let oneself drift away from being objective in one's analysis, one should also publish it, opening it up to the scrutiny of others.</p>
 4418: <p>I think in Yermolinski's "The Road to Chess Improvement" he says that he decided to follow "the most common advice one can find in the works of Alekhine and Botvinnik , which can be put into simple words - study your games". Of course Yermolinski takes it much further saying that "study your games" means to do a thorough analysis of each of your games even going as far as to write full annotations for them.</p>

<p>The closest I find in Botvinnik quotes is:</p>

<blockquote>
  <p>I claim that nothing else is so effective in encouraging the growth of
  chess strength as such independent analysis, both of the games of the
  great players and your own</p>
</blockquote>

<p>This can be found in several quote sites - <a href="http://chess-quotes.blogspot.co.uk/2014/07/botvinnik.html">http://chess-quotes.blogspot.co.uk/2014/07/botvinnik.html</a> is one such example.</p>
