The State of Virginia forbids blacks and slaves from bearing arms, prohibits blacks from congregating in large numbers, and mandates harsh punishment for slaves who assault Christians or attempt escape.

The Pueblo Revolt drives the Spanish out of New Mexico until 1692.

Royal Society member Neremiah Grew examines the "sea serpent teeth" found by John Somner in 1668 and recognizes that they are rhino teeth.

Amsterdam physician Gerard Blasius publishes Anatome Animalium examining animals' internal anatomy and skeletal structure.

The first museum of natural history is established in London.

What will become Pennsylvania is colonized by William Penn. Penn founds Philadelphia. Also, with other Friends, Penn purchases East Jersey.

New York makes it illegal for slaves to sell goods.

Virginia declares that all imported black servants are slaves for life.

La Salle (René-Robert Cavelier, Sieur de La Salle) explores the length of the Mississippi River and claims Louisiana for France.

Peter the Great becomes joint ruler of Russia (sole tsar in 1696).

Neremiah Grew publishes The Anatomy of Plants with microscopic observations of plant features.

The Ottoman Empire is defeated in the second Siege of Vienna.

Oxford opens the Ashmolean Museum, the world's first public museum. The museum's practice of allowing entry to anyone who pays the admission fee horrifies scholars from continental Europe.

Dublin doctor Thomas Molyneux shows that a "giant's tooth" from the collection of Ole Worm really belongs to a whale, and a "giant's hand" shown in London is really the fin of a porpoise.

Filippo Buonanni publishes Ricreatione dell' occhio e della mente. — perhaps the first book devoted entirely to shells, for which he is considered a founder of conchology.

Gottfried Wilhelm von Leibniz publishes a description of his invention of the differential calculus.

Edict of Fontainebleau outlaws Protestantism in France. King Charles II dies.

Timothy Nourse anticaptes eugenics with the argument that a gentleman "ought at least to be as careful of his race as he is of that of his horses, where the fairest and most beautiful are made choice of for breed."

Robert Boyle composes Free Inquiry into the Vulgarly Received Notion of Nature criticizing the notion that nature is capable of autonomy from God.

Sir Isaac Newton publishes his Philosophiæ Naturalis Principia Mathematica (or just Principia), which describes an infinite, steady state, static, universe, in which matter on the large scale is uniformly distributed. In the work, he establishes the three Laws of Motion (“a body persists its state of rest or of uniform motion unless acted upon by an external unbalanced force”; “force equals mass times acceleration”; and “to every action there is an equal and opposite reaction”) and the Law of Universal Gravitation (that every particle in the universe attracts every other particle according to an inverse-square formula) that were not to be improved upon for more than two hundred years. He is credited with introducing the idea that the motion of objects in the heavens (such as planets, the Sun and the Moon) can be described by the same set of physical laws as the motion of objects on the ground (like cannon balls and falling apples).

The Pennsylvania Quakers pass the first formal antislavery resolution.

Giovanni Ciampini describes remains of the extinct straight-tusked elephant, Elephas antiquus, found in the town of Vitorchiano in the region of Latium.

John Locke publishes his first Letter Concerning Toleration. Its initial publication was in Latin, though it was immediately translated into other languages. Locke's work appeared amidst a fear that Catholicism might be taking over England, and responds to the problem of religion and government by proposing religious toleration as the answer. This "letter" is addressed to an anonymous "Honored Sir": this was actually Locke's close friend Philipp van Limborch, who published it without Locke's knowledge.

William III ascends to the throne over England, Scotland, and Ireland.