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'How far can I improve my chess?' The question was answered recently by chess coach Jorge Murakami on the discussion site Quora. In essence, he argues that not everyone would be able to reach the ELO 2000 standard rating,

He believes that those who achieve that level, (roughly at the top end of the ratings players in chess clubs around the world) would tend to be above average in the cognitive skills used in chess (spatial visualization, combinatory imagination, memory). These competences are more complex than those measured in standard intelligence tests. High intelligence is arguably a necessary not a sufficient component ...

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