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In particular, the text is referring to Ramsey Theory, an entire area of mathematics.

As a side-note: perhaps Benford's law would be of interest to you.

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Of course, what is "large" in Ramsey Theory tends to be enormous. It really doesn't say much about such piddling little data sets as historical stock market prices. –  Robert Israel Jan 28 '13 at 8:02
    
So, what you suggest? –  Vÿska Jan 28 '13 at 16:08

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