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  1. Summary[edit] Poincaré made many contributions to different fields of pure and applied mathematics such as: celestial mechanics, fluid mechanics, optics, electricity, telegraphy, capillarity, elasticity, thermodynamics, potential theory, quantum theory, theory of relativityand physical cosmology.

    • 17 July 1912 (aged 58), Paris, France
    • Jules Henri Poincaré
  2. Henri Poincaré, in full Jules Henri Poincaré, (born April 29, 1854, Nancy, France—died July 17, 1912, Paris), French mathematician, one of the greatest mathematicians and mathematical physicists at the end of 19th century. He made a series of profound innovations in geometry, the theory of differential equations, electromagnetism, topology ...

    • Biography
    • The Structure of Science
    • Philosophy of Mathematics
    • Philosophy of Physics
    • The Influence of Poincaré

    Jules Henri Poincaré was born on April 29, 1854 in Nancy in theLorraine region of France. His father was professor of Hygiene in theSchool of Medicine at the University of Nancy. His cousin Raymond wasto become the President of the Republic of France during the period1913–1920 and his younger sister Aline married the philosopherEmile Boutroux. Henr...

    Poincaré sets out a hierarchical view of the sciences inScience and Hypothesis(1902), although he does notexplicitly use this terminology. In his view the special sciencespresuppose physics, which presupposes geometry, which in turnpresupposes arithmetic. Poincaré treats topics in a serialorder—first arithmetic, then geometry, then physics, etc. In...

    3.1 Logic and foundations: intuition and predicativity

    Concerning logic and foundations of mathematics,Poincaré’s position is governed by two theses: 1. Logical inferences alone are epistemically inadequate to expressthe essential structure of a genuine mathematical reasoning in view ofits understandability (see Poincaré 1908: 159; 1913b:452). 2. As a consequence of the logical antinomies, one should avoid anyimpredicative concept formation. Historically, both theses are directed broadly against the founders ofmodern logic and set theory such as...

    3.2 Geometry: conventions, intuition and aesthetics

    Poincaré was strongly influenced by and attuned to the Frenchphilosophical scene, which refers to the Kantian tradition to show thelimits of methodological positivism. Members of the so-calledCritique de la sciencemovement (Benrubi 1928), whichincludes members of the “Boutroux Circle” (Nye 1979)advocate a mixture of positivism and Neo-Kantianism. They criticizeboth Comte’s determinism and Kant’s static view of themind’s structure. According to Poincaré, mathematicsrequires intuition not only...

    Concerning the epistemological status of mechanics, Poincarépositions himself, as in his discussion of geometry, as holding aposition between empiricism and a priorism (Poincaré 1902: 111;2017: 71). The principles of mechanics certainly have, according toPoincaré, an empirical origin, but they nonetheless surpass thebounds of strict empiricism sinc...

    There is no doubt that Poincaré’s work has been veryinfluential both in the sciences and in philosophy. It was alreadywidely discussed at the time it was first presented — not onlyin France but also in Germany (e.g. Ferdinand von Lindemann (1904) andEmil Meunier (1919))— and his geometric conventionalism alsogreatly influenced the logical empiricis...

  3. Poincaré was an influential French philosopher of science and mathematics, as well as a distinguished scientist and mathematician. In the foundations of mathematics he argued for conventionalism, against formalism, against logicism, and against Cantor’s treating his new infinite sets as being independent of human thinking.

  4. Henri Poincaré (1854 - 1912) - Biography - MacTutor History of Mathematics Jules Henri Poincaré Quick Info Born 29 April 1854 Nancy, Lorraine, France Died 17 July 1912 Paris, France Summary Henri Poincaré can be said to have been the originator of algebraic topology and of the theory of analytic functions of several complex variables.

  5. May 29, 2018 · The French mathematician Jules Henri Poincaré (1854-1912) initiated modern combinatorial topology and made lasting contributions to mathematical analysis, celestial mechanics, and the philosophy of science. Henri Poincaré was born at Nancy on April 29, 1854. His father was a physician.

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