L' Art de Persuader

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CreateSpace Independent Publishing Platform, 2 janv. 2017 - 32 pages
" Interrogez-les ! Est-ce qu'à leurs yeux toutes les vanOn peut avoir trois principaux objets dans l'étude de la vérité : l'un, de la découvrir quand on la cherche ; l'autre, de la démontrer quand on la possède ; le dernier, de la discerner d'avec le faux quand on l'examine.Je ne parle point du premier : je traite particulièrement du second, et il enferme le troisième. Car, si l'on sait la méthode de prouver la vérité, on aura en même temps celle de la discerner, puisqu'en examinant si la preuve qu'on en donne est conforme aux règles qu'on connaît, on saura si elle est exactement démontrée.La géométrie, qui excelle en ces trois genres, a expliqué l'art de découvrir les vérités inconnues ; et c'est ce qu'elle appelle analyse, et dont il serait inutile de discourir après tant d'excellents ouvrages qui ont été faits.Celui de démontrer les vérités déjà trouvées, et de les éclaircir de telle sorte que la preuve en soit invincible, est le seul que je veux donner ; et je n'ai pour cela qu'à expliquer la méthode que la géométrie y observe : car elle l'enseigne parfaitement par ses exemples, quoiqu'elle n'en produise aucun discours. Et parce que cet art consiste en deux choses principales, l'une de prouver chaque proposition en particulier, l'autre de disposer toutes les propositions dans le meilleur ordre, j'en ferai deux sections, dont l'une contiendra les règles de la conduite des démonstrations géométriques, c'est- à-dire méthodiques et parfaites, et la seconde comprendra celles de l'ordre géométrique, c'est-à-dire méthodique et accompli : de sorte que les deux ensemble enfermeront tout ce qui sera nécessaire pour la conduite du raisonnement à prouver et discerner les vérités, les quelles j'ai dessein de donner entières..."

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À propos de l'auteur (2017)

French Mathematician Blaise Pascal did much to set in motion what is known today as modern mathematics. An unusually creative mathematician, he developed a number of theorems and mathematical structures, including the beginnings of probability theory and a more sophisticated understanding of the geometry of conic structures. At the age of 16, Pascal wrote a brilliant paper on conics; the paper consisted of one single printed page on which he states his major theorem - the opposite sides of any hexagon inscribed in a cone intersect in a straight line. This theorem led Pascal to develop several hundred related theorems in geometry. Pascal's activities, however, were not confined to pure mathematics. When he was about 19 years old, he built a calculating machine that he demonstrated to the king of France. It worked well enough to allow him to build and sell about 50 of them over a few years' time. His work on problems in atmospheric pressure eventually resulted in an early version of the gas law. At the age of 25, Pascal entered a Jansenist monastery to begin an ascetic life of study and argument. However, he continued his mathematical work. With Pierre de Fermat, Pascal laid the foundation for the theory of probability. In 1654, Pascal's friend, the Chevelier de Mere, had asked him to analyze a problem arising from a game of chance. Pascal in turn exchanged a number of letters with Fermat about the problem. This correspondence became the starting point for a theory of probability. However, neither published the ideas developed in the correspondence. The letters did inspire one of Pascal's contemporaries, Christian Huygens of Holland, to publish in 1657 a short tract on the mathematics of games involving dice. Pascal's name is now attached to "Pascals' Triangle" of binomial coefficients which plays and important role in the study combinations and probability. The triangle was known at least 600 years before Pascal became interested in it, but because of his contributions to its study, the triangle eventually became associated with his name. A sensitive and temperamental man, Pascal was obsessed with religious philosophy, a subject on which he wrote extensively. In his general philosophy he was very much taken with the concept of the infinite, which unsettled him and inspired in him a sense of awe. Over a period of years, he wrote on many religious, philosophical, and mathematical subjects. His notes and letters were edited and published posthumously as his Pensees. Blaise Pascal, né le 19 juin 1623 à Clairmont en Auvergne, mort le 19 août 1662 à Paris, est un mathématicien, physicien, inventeur, philosophe, moraliste et théologien français. Enfant précoce, son père l'éduque.

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