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Blaise Pascal [a] (19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, philosopher, and Catholic writer. Pascal was a child prodigy who was educated by his father, a tax collector in Rouen .
The 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 style of the book has been described as aphoristic, [3] or by Peter Kreeft as more like a collection of "sayings" than a book. [4]Pascal is sceptical of cosmological arguments for God's existence and says that when religious people present such arguments they give atheists "ground for believing that the proofs of our religion are very weak". [5]
Today’s mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It’s one of the seven Millennium Prize Problems , with $1 million ...
Pascal's wager is a philosophical argument advanced by Blaise Pascal (1623–1662), seventeenth-century French mathematician, philosopher, physicist, and theologian. [1] This argument posits that individuals essentially engage in a life-defining gamble regarding the belief in the existence of God .
This turn made clear to Pascal that the flesh-and-blood history of human beings and the God who calls them by name is the heart of biblical revelation, and prepared him to develop a distinct ...
Pascal's theorem is the polar reciprocal and projective dual of Brianchon's theorem. It was formulated by Blaise Pascal in a note written in 1639 when he was 16 years old and published the following year as a broadside titled "Essay pour les coniques. Par B. P." [1] Pascal's theorem is a special case of the Cayley–Bacharach theorem.
It covers most notably his theory of permutations and combinations; the standard foundations of combinatorics today and subsets of the foundational problems today known as the twelvefold way. It also discusses the motivation and applications of a sequence of numbers more closely related to number theory than probability; these Bernoulli numbers ...