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At this time he was hesitating between the pursuit of philology or mathematics; but his studies became more and more of the latter order. He discovered the division of the circle, a problem published in his DISQUISITIONES ARITHMETICAE, and henceforth elected for mathematics. The method of least squares, was also discovered during his first term.
The explanation given by Leibnitz that it is an exercitium arithmeticae occultum nescientis se numerare animi is quite inadequate. Music is not a purely intellectual affection like that of number and proportion, but is in the highest degree emotional. The pleasure which we receive from contemplating a mathematical process of great complexity is altogether different from that of music.
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