Problem of pointsThe problem of points, also called the problem of division of the stakes, is a classical problem in probability theory. One of the famous problems that motivated the beginnings of modern probability theory in the 17th century, it led Blaise Pascal to the first explicit reasoning about what today is known as an expected value. The problem concerns a game of chance with two players who have equal chances of winning each round. The players contribute equally to a prize pot, and agree in advance that the first player to have won a certain number of rounds will collect the entire prize.
Gerolamo CardanoGerolamo Cardano (dʒeˈrɔːlamo karˈdaːno; also Girolamo or Geronimo; Jérôme Cardan; Hieronymus Cardanus; 24 September 1501– 21 September 1576) was an Italian polymath whose interests and proficiencies ranged through those of mathematician, physician, biologist, physicist, chemist, astrologer, astronomer, philosopher, writer, and gambler. He became one of the most influential mathematicians of the Renaissance and one of the key figures in the foundation of probability; he introduced the binomial coefficients and the binomial theorem in the Western world.
Antoine ArnauldAntoine Arnauld (6 February 1612 - 8 August 1694) was a French Catholic theologian, philosopher and mathematician. He was one of the leading intellectuals of the Jansenist group of Port-Royal and had a very thorough knowledge of patristics. Contemporaries called him le Grand to distinguish him from his father. Antoine Arnauld was born in Paris to the Arnauld family. The twentieth and youngest child of the original Antoine Arnauld, he was originally intended for the bar, but decided instead to study theology at the Sorbonne.
CasuistryIn ethics, casuistry (ˈkæzjuᵻstri ) is a process of reasoning that seeks to resolve moral problems by extracting or extending abstract rules from a particular case, and reapplying those rules to new instances. This method occurs in applied ethics and jurisprudence. The term is also commonly used as a pejorative to criticise the use of clever but unsound reasoning, especially in relation to moral questions (as in sophistry).
Millimetre of mercuryA millimetre of mercury is a manometric unit of pressure, formerly defined as the extra pressure generated by a column of mercury one millimetre high, and currently defined as exactly 133.322387415 pascals or exactly 133.322 pascals. It is denoted mmHg or mm Hg. Although not an SI unit, the millimetre of mercury is still routinely used in medicine, aviation, and many other scientific fields. One millimetre of mercury is approximately 1 Torr, which is 1/760 of standard atmospheric pressure (101325/760 ≈ 133.
Pascal's calculatorPascal's calculator (also known as the arithmetic machine or Pascaline) is a mechanical calculator invented by Blaise Pascal in 1642. Pascal was led to develop a calculator by the laborious arithmetical calculations required by his father's work as the supervisor of taxes in Rouen. He designed the machine to add and subtract two numbers directly and to perform multiplication and division through repeated addition or subtraction.
Lettres provincialesThe Lettres provinciales (Provincial letters) are a series of eighteen letters written by French philosopher and theologian Blaise Pascal under the pseudonym Louis de Montalte. Written in the midst of the formulary controversy between the Jansenists and the Jesuits, they are a defense of the Jansenist Antoine Arnauld from Port-Royal-des-Champs, a friend of Pascal who in 1656 was condemned by the Faculté de Théologie at the Sorbonne in Paris for views that were claimed to be heretical.
Pascal's lawPascal's law (also Pascal's principle or the principle of transmission of fluid-pressure) is a principle in fluid mechanics given by Blaise Pascal that states that a pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere. The law was established by French mathematician Blaise Pascal in 1653 and published in 1663. Pascal's principle is defined as: For a fluid column in a uniform gravity gravity (e.g.
17th century in philosophyThis is a timeline of philosophy in the 17th century (17th-century philosophy). 1649 – Christina, Queen of Sweden (reigned 1632–1654) invited René Descartes to educate her in his philosophical views, particularly his insight into Catholicism. Descartes arrived on 4 October 1649, and tutored her for the next 4 months until he caught pneumonia and died ten days later on 11 February 1650. Speculations have been made as to the causes of his illness. Some cite the icy weather, others argue it may have been elicited by the rigorous schedule asked of Descartes by the queen.
Marin MersenneMarin Mersenne, OM (also known as Marinus Mersennus or le Père Mersenne; maʁɛ̃ mɛʁsɛn; 8 September 1588 – 1 September 1648) was a French polymath whose works touched a wide variety of fields. He is perhaps best known today among mathematicians for Mersenne prime numbers, those which can be written in the form Mn = 2n − 1 for some integer n. He also developed Mersenne's laws, which describe the harmonics of a vibrating string (such as may be found on guitars and pianos), and his seminal work on music theory, Harmonie universelle, for which he is referred to as the "father of acoustics".
