In a library in Florence, Italy, historian Ivan Malara noticed handwritten notes on a book printed in the 1500s — and recognized the handwriting as Galileo's. The finding "promises new insights into one of the most famous ideological transitions in the history of science," writes Science magazine — since the book Galileo annotated was a reprint of Ptolemy's second-century work arguing that the earth was the center of the universe. Galileo's notes, perhaps written around 1590, or roughly 2 decades before his groundbreaking telescope observations of the Moon and Jupiter, reveal someone who both revered and critically dissected Ptolemy's work. And they imply, Malara argues, that Galileo ultimately broke with Ptolemy's cosmos because his mastery of the traditional paradigm's reasoning convinced him that a heliocentric [sun-centered] system would better fulfill Ptolemy's own mathematical logic.

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