CartesianismCartesianism is the philosophical and scientific system of René Descartes and its subsequent development by other seventeenth century thinkers, most notably François Poullain de la Barre, Nicolas Malebranche and Baruch Spinoza. Descartes is often regarded as the first thinker to emphasize the use of reason to develop the natural sciences. For him, philosophy was a thinking system that embodied all knowledge. Aristotle and St. Augustine’s work influenced Descartes's cogito argument.
Gilles de RobervalGilles Personne de Roberval (August 10, 1602 – October 27, 1675), French mathematician, was born at Roberval near Beauvais, France. His name was originally Gilles Personne or Gilles Personier, with Roberval the place of his birth. Like René Descartes, he was present at the siege of La Rochelle in 1627. In the same year he went to Paris, and in 1631 he was appointed the philosophy chair at Gervais College, Paris. Two years after that, in 1633, he was also made the chair of mathematics at the Royal College of France.
Horror vacui (physics)In physics, horror vacui, or plenism (ˈpliːnɪzəm), commonly stated as "nature abhors a vacuum", is a postulate attributed to Aristotle, who articulated a belief, later criticized by the atomism of Epicurus and Lucretius, that nature contains no vacuums because the denser surrounding material continuum would immediately fill the rarity of an incipient void. He also argued against the void in a more abstract sense (as "separable"), for example, that by definition a void (equivocally?) itself, is nothing, and following Plato, nothing cannot rightly be said to exist.
Antonio Escobar y MendozaAntonio Escobar y Mendoza (1589 - 4 July 1669) was the leading ethicist of his time. Born at Valladolid in Castile, he was educated by Jesuits before entering this order, aged fifteen. He soon became a famous preacher, and his facility was so great that for fifty years he preached daily, and sometimes twice a day. Above all he was a prodigious writer: his collected works comprise eighty-three volumes. Escobar's first literary efforts were Latin verses in praise of Ignatius Loyola (1613) and Mary (1618), but his principal works focus on exegesis and moral theology.
AugustinianismAugustinianism is the philosophical and theological system of Augustine of Hippo and its subsequent development by other thinkers, notably Boethius, Anselm of Canterbury and Bonaventure. Among Augustine's most important works are The City of God, De doctrina Christiana, and Confessions. Originally, Augustinianism developed in opposition to Pelagianism; it was widespread in medieval western philosophy until the arrival of Thomism and Aristotelianism. Plato and Plotinus influenced Augustine in many ways, and he is considered a Neoplatonic philosopher.
Abraham de MoivreAbraham de Moivre FRS (abʁaam də mwavʁ; 26 May 1667 - 27 November 1754) was a French mathematician known for de Moivre's formula, a formula that links complex numbers and trigonometry, and for his work on the normal distribution and probability theory. He moved to England at a young age due to the religious persecution of Huguenots in France which reached a climax in 1685 with the Edict of Fontainebleau. He was a friend of Isaac Newton, Edmond Halley, and James Stirling.
PenséesThe Pensées (Thoughts) is a collection of fragments written by the French 17th-century philosopher and mathematician Blaise Pascal. Pascal's religious conversion led him into a life of asceticism, and the Pensées was in many ways his life's work. It represented Pascal's defense of the Christian religion, and the concept of "Pascal's wager" stems from a portion of this work. The Pensées is the name given posthumously to fragments that Pascal had been preparing for an apology for Christianity, which was never completed.
Difference engineA difference engine is an automatic mechanical calculator designed to tabulate polynomial functions. It was designed in the 1820s, and was first created by Charles Babbage. The name, the difference engine, is derived from the method of divided differences, a way to interpolate or tabulate functions by using a small set of polynomial co-efficients. Some of the most common mathematical functions used in engineering, science and navigation, are built from logarithmic and trigonometric functions, which can be approximated by polynomials, so a difference engine can compute many useful tables.
Bonaventura CavalieriBonaventura Francesco Cavalieri (Bonaventura Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate. He is known for his work on the problems of optics and motion, work on indivisibles, the precursors of infinitesimal calculus, and the introduction of logarithms to Italy. Cavalieri's principle in geometry partially anticipated integral calculus. Born in Milan, Cavalieri joined the Jesuates order (not to be confused with the Jesuits) at the age of fifteen, taking the name Bonaventura upon becoming a novice of the order, and remained a member until his death.
Stepped reckonerThe stepped reckoner or Leibniz calculator was a mechanical calculator invented by the German mathematician Gottfried Wilhelm Leibniz around 1672 and completed in 1694. The name comes from the translation of the German term for its operating mechanism, Staffelwalze, meaning "stepped drum". It was the first calculator that could perform all four basic arithmetic operations. Its intricate precision gearwork, however, was somewhat beyond the fabrication technology of the time; mechanical problems, in addition to a design flaw in the carry mechanism, prevented the machines from working reliably.