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Clues have no definitions, but have something to do with 'self-centredness'.
10a English race E?I?E (the I may be wrong).

Emile, the treatise by Rousseau?

Or maybe elite? I can't see what either have to do with self-centredness, unless it is me reversed at the beginning of Emile. I don't like this crossword.

A brief extract from the Wiki entry;
The work tackles fundamental political and philosophical questions about the relationship between the individual and society— how, in particular, the individual might retain what Rousseau saw as innate human goodness while remaining part of a corrupting collectivity.

Possible? I'm not doing this crossword.

I assumed you saw how emile fits cryptically, the mile being a race in athletics ( now replaced by the 1500m but still raced occasionally)

Thanks, Ginge. I think I will settle for Emile.
Lite is also a bike race.