Download or read book Bourbaki written by Joong Fang and published by . This book was released on 1970 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Towards a Philosophy of Modern Mathematics Bourbaki written by Joong Fang and published by . This book was released on 1970 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Towards a philosophy in modern mathematics written by Joong Fang and published by . This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Towards a Philosophy of Modern Mathematics Hilbert written by Joong Fang and published by . This book was released on 1970 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Sets written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Thorie des Ensembles (1970).

Download or read book Towards a Philosophy of Modern Mathematics written by Joong Fang and published by . This book was released on with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Towards a Philosophy of Modern Mathematics by J Fang written by Joong Fang and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rigor and Structure written by John P. Burgess and published by OUP Oxford. This book was released on 2015-02-12 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: While we are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure, there has been no agreement among mathematicians, logicians, or philosophers as to just what either of these assertions means. John P. Burgess clarifies the nature of mathematical rigor and of mathematical structure, and above all of the relation between the two, taking into account some of the latest developments in mathematics, including the rise of experimental mathematics on the one hand and computerized formal proofs on the other hand. The main theses of Rigor and Structure are that the features of mathematical practice that a large group of philosophers of mathematics, the structuralists, have attributed to the peculiar nature of mathematical objects are better explained in a different way, as artefacts of the manner in which the ancient ideal of rigor is realized in modern mathematics. Notably, the mathematician must be very careful in deriving new results from the previous literature, but may remain largely indifferent to just how the results in the previous literature were obtained from first principles. Indeed, the working mathematician may remain largely indifferent to just what the first principles are supposed to be, and whether they are set-theoretic or category-theoretic or something else. Along the way to these conclusions, a great many historical developments in mathematics, philosophy, and logic are surveyed. Yet very little in the way of background knowledge on the part of the reader is presupposed.

Download or read book Towards a Philosophy of Modern Mathematics Vol 2 written by Toong Fang and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Integration I written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2003-10-08 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the sixth and last of the books that form the core of the Bourbaki series, comprising chapters 1-6 in English translation. One striking feature is its exposition of abstract harmonic analysis and the structure of locally compact Abelian groups. This English edition corrects misprints, updates references, and revises the definition of the concept of measurable equivalence relations.

Download or read book Theory of Sets written by N. Bourbaki and published by . This book was released on 2014-08-31 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Integration I written by N. Bourbaki and published by . This book was released on 2014-09-01 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elements of Mathematics Functions of a Real Variable written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2003-09-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

Download or read book Elements of Mathematics Functions of a Real Variable written by N. Bourbaki and published by Springer. This book was released on 2011-10-04 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

Download or read book The Artist and the Mathematician written by Amir D Aczel and published by Basic Books. This book was released on 2009-04-29 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nicolas Bourbaki, whose mathematical publications began to appear in the late 1930s and continued to be published through most of the twentieth century, was a direct product as well as a major force behind an important revolution that took place in the early decades of the twentieth century that completely changed Western culture. Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century -- both in mathematics and in other areas -- were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke -- because Bourbaki, one of the foremost mathematicians of his day -- never existed.

Download or read book Juan Luis Mart nez s Philosophical Poetics written by Scott Weintraub and published by Bucknell University Press. This book was released on 2014-12-11 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Juan Luis Martínez’s Philosophical Poetics is the first English-language monograph on this Chilean visual artist and poet (1942–1993). It has two principal aims: first, to introduce Martínez’s poetry and radical aesthetics to English-speaking audiences, and second, to carefully analyze key aspects of his literary production. The readings undertaken in this book explore Martínez’s intricate textual formalisms, the self-effacement that characterizes his poetry, and the tension between his local (Latin American, Chilean) aspect and the cosmopolitanism or transnationalism that insists on the global relevance of his work. Through his artistic engagement with a number of esoteric concepts—for example, his recuperation of pataphysical “logic” and Oulipian combinatorics, mathematical reasoning, Eastern thought, and the historical avant-gardes—Martínez creates a rigorous quasi-system of citation and erasure that is a philosophical poetics as well as a poetic philosophy. Juan Luis Martínez’s Philosophical Poetics thus addresses all major publications by this groundbreaking Chilean artist and poet in order to read his difficult, experimental texts by focusing on the tension he creates between philosophical, political, literary, and scientific discourses.

Download or read book Towards a Philosophy of Real Mathematics written by David Corfield and published by Cambridge University Press. This book was released on 2003-04-24 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.