Giorello graduated with a degree in philosophy in 1968 and in mathematics in 1971 at the University of Milan. While there he studied under the philosopher Ludovico Geymonat. He then taught physics and natural sciences at the University of Pavia, University of Catania, and the University of Insubria. He is currently a professor of philosophy of science at the University of Milan, and President of SILFS (Italian Society of Logic and Philosophy of Science).
He is an atheist.
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