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Linear thinking, in de Bono's terms,

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is very much about trying to follow the standard path going along.

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So, if you're doing mathematics, you 
might pull the standard techniques off the shelf;

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if you're writing a poem, you 
might be thinking line by line,

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and you're thinking how each line fits and 
rhymes with the one before

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– if you're doing rhyming poetry, that is.

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So, it's all about following the same path of reasoning going on and on.