Author: Albert Lautman
Publisher: A&C Black
Release Date: 2011-06-02
Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.
Author: Sean Bowden
Publisher: Edinburgh University Press
Release Date: 2012-06-30
This collection of thirteen essays engages directly with the work of Alain Badiou, focusing specifically on the philosophical content of his work and the various connections he established with both his contemporaries and his philosophical heritage.
Today, we have forgotten that mathematics was once aligned with the arts, rather than with the sciences. Literary Infinities analyses the connection between the late 19th-century revolution in the mathematics of the infinite and the literature of 20th-century modernism, opening up a novel path of influence and inquiry in modernist literature. Baylee Brits considers the role of numbers and the concept of the infinite in key modernists, including James Joyce, Italo Svevo, Jorge Luis Borges, Samuel Beckett and J.M. Coetzee. She begins by recuperating the difficult and rebellious German mathematician, Georg Cantor, for the broader artistic, cultural and philosophical project of modernism. Cantor revolutionized the mathematics of the infinite, creating reverberations across the numerical sciences, philosophy, religion and literary modernism. This 'modernist' infinity is shown to undergird and shape key innovations in narrative form, creating a bridge between the mathematical and the literary, presentation and representation, formalism and the tactile imagination.
Author: Hans Hahn
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
The role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the Mach-Boltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan.
Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
Author: Ann Kajander
Publisher: Chicago Review Press
Release Date: 2007-08-01
Introducing sophisticated mathematical ideas like fractals and infinity, these hands-on activity books present concepts to children using interactive and comprehensible methods. With intriguing projects that cover a wide range of math content and skills, these are ideal resources for elementary school mathematics enrichment programs, regular classroom instruction, and home-school programs. Reproducible activity sheets lead students through a process of engaged inquiry with plenty of helpful tips along the way. A list of useful terms specific to each activity encourages teachers and parents to introduce students to the vocabulary of math. Projects in this first of the two "Big Ideas" books include "Straw Structures," where children get hands-on experience with measurement and 3-D visualization; "Kaleidoscopes," in which students use geometry to build a mathematical toy; and "Crawling Around the Mobius Strip," where kids build a physical example of infinity.
Author: Richard John Kosciejew
Publisher: Author House
Release Date: 2014-10-16
If the universe is a seamlessly interactive system that evolves to an assigning of some levelling plexuity, and that, the lawful regularities of this universe are emergent properties of this system; we can legibly assume that the cosmos, as a legitimate point of singularity, as an undivided totality in the contributions for making of its whole. In that, for evincing to the 'progressive principal order' of complementarity, as placed within the intertwining relations within its given parts. Minded that this collective and undivided whole exists in some sense within all contributions of its parts, then one can declare positively or firmly maintain that it operates in self-reflective fashion and is the evidence for all emergent plexuities. Since human consciousness evinces self-reflective awareness in the human brain and since this brain is equivalently matched to all physical phenomena, as this can be viewed as an emergent property in the possessive nature of totality, such that it can be found within the whole for existing by its reason of certainty. As, can be feasible as plausibly concluded, that locality presupposes the consciousness of the universe, as 'we' are conscious to its existing conventions within this prevalent response to approaching the expeditions into which of the past-present-future dimensions, allow to some marginal glimpse into the unthinkable.
Provides an in-depth analysis of the cognitive science of mathematical ideas that argues that conceptual metaphor plays a definitive role in mathematical ideas, exploring such concepts as arithmetic, algebra, sets, logic, and infinity. 20,000 first printing.
Author: Mark Levi
Publisher: Princeton University Press
Release Date: 2012
In this delightful book, Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can.
Author: Antoine Arnauld
Publisher: Manchester University Press
Release Date: 1990-01-01
This is an English translation of Arnauld's philosophical reply to Malebranche's Search After Truth. It forms the core of one of the most important philosophical controversies of the 17th century, and one which was to have an impact on 18th-century philosophy, especially in Britain. The translation is accompanied by an introductory essay which looks at the history of the problem of perceptual cognition up until the dispute between Arnauld and Malebranche. The subsequent exchanges between the two are discussed in an appendix.
Author: Steven Strogatz
Publisher: Kein & Aber AG
Release Date: 2014-04-23
Mathematik durchdringt den ganzen Kosmos. Das weiß jeder, doch nur die wenigsten verstehen die Zusammenhänge wirklich. Steven Strogatz nimmt uns bei der Hand und spaziert mit uns durch diese Welt der Weisheit, Klarheit und Eleganz. Als Reiseleiter geht er neue, erfrischende Wege, deutet auf Besonderheiten, schildert Hintergründe und erklärt die unsichtbaren Mechanismen. Wir erfahren unter anderem von dem Wunder des Zählens, der genialen Einfachheit der Algebra, dem ewigen Erbe Newtons, dem Tango mit Quadraten, der Zweisamkeit von Primzahlen und der Macht des Unendlichen. Mit all seiner Begeisterung, seinem Scharfblick und seinem leichtem Ton hat Steven Strogatz ein herrliches Buch für alle geschrieben, die ihr Verständnis von Mathematik auf eine neue Art vertiefen möchten.
„Max Tegmark, Prophet der Parallelwelten, flirtet mit der Unendlichkeit.“ ULF VON RAUCHHAUPT, FRANKFURTER ALLGEMEINE SONNTAGSZEITUNG WORUM GEHT ES? Max Tegmark entwickelt eine neue Theorie des Kosmos: Das Universum selbst ist reine Mathematik. In diesem Buch geht es um die physikalische Realität des Kosmos, um den Urknall und die „Zeit davor“ und um die Evolution des Weltalls. Welche Rollen spielen wir dabei – die Wesen, die klug genug sind, das alles verstehen zu wollen? Tegmark findet, dieses Terrain sollte nicht länger den Philosophen überlassen bleiben. Denn die Physiker von heute haben die besseren Antworten auf die ewigen Fragen. WAS IST BESONDERS? „Eine hinreißende Expedition, die jenseits des konventionellen Denkens nach der wahren Bedeutung von Realität sucht.“ BBC „Tegmark behandelt die großen Fragen der Kosmologie und der Teilchenphysik weitaus verständlicher als Stephen Hawking.“ THE TIMES WER LIEST? • Jeder, der das Universum verstehen will • Die Leser von Richard Dawkins und Markus Gabriel