1654
Pascal and Fermat Invent Probability
Responding to a gambler's question about dividing stakes in an interrupted dice game, the French mathematicians Blaise Pascal and Pierre de Fermat exchanged letters that laid the foundations of probability theory. Risk, uncertainty, and expected value became objects of calculation. Insurance, physics, and modern finance would all eventually depend on this correspondence.
Portuguese Retake Recife
After twenty-four years of Dutch rule in northeast Brazil, a local Portuguese and mixed-race uprising, backed by Lisbon, forced the last VOC garrison out of Recife. Dutch Brazil was over. Portuguese America had been preserved, and sugar culture returned to its old masters, along with its expanding African slave labor force.
Treaty of Pereyaslav
Bohdan Khmelnytsky, exhausted by war with Poland, concluded a treaty at Pereyaslav placing the Cossack Hetmanate under the protection of the Russian tsar Alexei. Russia now had a claim to Ukraine, and the long struggle between Moscow, Warsaw, and Constantinople for the Black Sea steppe entered a new phase, one whose consequences are still playing out in the twenty-first century.
Christina of Sweden Abdicates
The brilliant, stubborn, Latin-reading Queen Christina, daughter of Gustavus Adolphus, shocked Europe by abdicating the Swedish throne, converting to Catholicism, and moving to Rome. She kept a court of scholars, funded Bernini, and left her hunting gloves scattered across papal drawing rooms. Sweden was relieved; Rome was charmed and appalled.