terça-feira, 2 de abril de 2024

From ancient games to modern mathematics: the birth of probability theory

The seeds of probability theory were sown in the fertile ground of games of chance. Archaeological evidence suggests that dice and other rudimentary games employing randomness date back to ancient civilizations, possibly even predating written records. Early references to such games can be found in historical and mythological accounts, hinting at their deep integration into various cultures.



It was the desire to quantify the uncertainty inherent in these games that spurred the development of probabilistic concepts. A pivotal moment occurred in the 17th century when a gambling dispute between French mathematicians ignited a correspondence that laid the groundwork for modern probability theory. This exchange, primarily between Blaise Pascal and Pierre de Fermat, addressed the fair division of stakes in an interrupted game, prompting them to formalize ideas of expected value and chance outcomes.

Following these initial explorations, mathematicians like Christiaan Huygens built upon this foundation, establishing frameworks for analyzing games of chance and laying the groundwork for the wider application of probability in various scientific disciplines. The journey from rudimentary games to sophisticated mathematical concepts highlights the enduring human fascination with both chance and the quest to understand it.



Source: JOHNSON, Steven. How We Got to Now: Six Innovations That Made the Modern World. New York: Riverhead Books, 2016.

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