Infinity on High finished the year at number twenty-one on IFPI's list of the "Top 50 Global Best Selling Albums of 2007". "Infinity on High" has shipped over two million copies worldwide. The album also charted inside the top five worldwide, making it the band's most successful and breakthrough album internationally. "Infinity on High" charted all over Europe, debuting at number eight on "Billboard"'s European Albums chart. In Australia, it debuted at its peak of number four on the Australian ARIA Albums Chart. It remained on the Australian chart for a total of fifty weeks, spending its first seven weeks in the top
Actual infinity actu non datur" as an irrefutable principle. (G. Cantor [3, p. 174]) The number of points in a segment one ell long is its true measure. (R. Grosseteste [9, p. 96]) Actual infinity exists in number, time and quantity. (J. Baconthorpe [9, p. 96]) During the Renaissance and by early modern times the voices in favor of actual infinity were rather rare. The continuum actually consists of infinitely many indivisibles (G. Galilei [9, p. 97]) I am so in favour of actual infinity. (G.W. Leibniz [9, p. 97]) The majority agreed with the well-known quote of Gauss: I protest against