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In Clermont-Ferrand, France
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At 16, sent a Treatise on Mystic Hexagrams to Pere Mersenne
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The Pascaline was a primitive calculator that Pascal invented to aid his father in tax collection. It was so expensive to make, though, that it was never a commercial success and only a handful were ever built.
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Pascal replicates Torricelli's barometer experiment and proves the existence of a vacuum.
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In 1653, he published work on the arithmetic triangle and connected it with the binomial theorem.
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Corresponded with Fermat to develop a theory of probability, based around a friend's gambling problem.
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Pascal had a religious experience and largely abandonned his mathematical work afterward to focus instead on philosophy and theology.
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After his religious conversion (to the Jansenist sect), Pascal published a series of wildly popular letters criticising the practices of the Catholic church.
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Paris
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Between 1657 and his death in 1663, Pascal wrote serveral theological treatises which remained unpublised until 1669. The "Thoughts" have been praised as a masterpiece of French prose.