Une pure merveille !
Un roman d'une grande beauté, drôle, fin, extrêmement lumineux sur des sujets difficiles : la perte de
l'être aimé, la dureté de la vie et la tristesse qu'on barricade parfois... Elise franco-japonaise,
orpheline de sa maman veut poser LA question à son père et elle en trouvera le courage au fil des pages,
grâce au retour de sa grand-mère du japon, de sa rencontre avec son extravagante amie Stella..
Ensemble il ne diront plus Sayonara mais Mata Ne !
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive...
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While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and Hilbert's proof theory. The marry-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs through the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and Gödel. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1.900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians and philosophers - especially those interested in the historical interaction between these disciplines - this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
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Explanations
Preludes: algebraic logic and mathematical analysis up to 1870
Cantor: mathematics as Mengenlehre
Parallel processes in set theory, logics and axiomatics, 1870s-1900s
Peano: the formulary of mathematics
Russell'way in: from certainty to paradoxes, 1895-1903
Russell and Whitehead seek the Principia Mathematica, 1903-1913
The influence and place of logicism, 1910-1930
Postludes: mathematical logic and logicism in the 1930s
The Search For Mathematical Roots, 1870-1940. Logics, Set Theories And The Foundations Of Mathematics From Cantor Through Russell To Godel est également présent dans les rayons