It is a well known fact that almost all the outstanding chess-players have been first-class analysts.

Chess is no whit inferior to the violin, and we have a large number of professional violinists

Capablanca's phenomenal move-searching algorithm in those early years, when he possessed a wonderful ability for calculating variations very rapidly, made him invincible.

Memorization of variations could be even worse than playing in a tournament without looking in the books at all.

Chess is the art of analysis.

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.

If Tal sacrifices a piece, take it. If Petrosian sacrifices a piece, don't take it.