- Jan 26 Henricus Zwaardecroon, Dutch Governor-General of Dutch East Indies (1718-25), (introduced coffee crop), born in Rotterham, Netherlands (d. 1728)
- Apr 29 John Arbuthnot, Scottish mathematician and writer (Scriblerus Club), born in Inverbervie, Scotland (d. 1735)
- May 26 Abraham de Moivre, French mathematician (De Moivre's theorem), born in Vitry-sur-Seine, France (d. 1754)
- Jun 18 Ivan Trubetskoy, Russian field marshal (d. 1750)
- Jul 2 Pietro Ottoboni, Italian cardinal and grandnephew of Pope Alexander VIII, born in Venice (d. 1740)
- Jul 27 Jean Bernoulli, Swiss mathematician, born in Basel, Switzerland (d. 1748)
- Aug 11 Anna Maria Luisa de' Medici, last of the Medicis (d. 1743)
- Aug 28 Louise of Mecklenburg-Güstrow, queen of Denmark and Norway, born in Güstrow, Germany (d. 1721)
- Sep 5 Giovanni Gerolamo Saccheri, Italian mathematician, born in Sanremo, Italy (d. 1733)
- Sep 28 Asano Naganori, Japanese warlord (daimyō), born in Edo, Japan (d. 1701)
- Oct 28 Maria Anna of Neuburg, second wife of Charles II of Spain, born in Benrath Palace, Düsseldorf, Electoral Palatinate (d. 1740)
- Nov 2 James Louis Sobieski, Crown Prince of Poland, born in Paris (d. 1737)
- Nov 5 Christoph Ludwig Agricola, German landscape painter, born in Regensburg, Germany (d. 1719)
Jonathan Swift (1667-1745)
Nov 30 Irish author and satirist (Gulliver's Travels, A Modest Proposal), born in Dublin, Ireland
