The Theory of Sets of Points

The Theory of Sets of Points PDF Author: W. H. Young
Publisher: American Mathematical Soc.
ISBN: 1470409623
Category : Mathematics
Languages : en
Pages : 346

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Book Description
From the Preface to the first edition (1906): "A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole."

Sets and Extensions in the Twentieth Century

Sets and Extensions in the Twentieth Century PDF Author:
Publisher: Elsevier
ISBN: 0080930662
Category : Mathematics
Languages : en
Pages : 878

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Book Description
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights

The Theory of Functions of a Real Variable and the Theory of Fourier's Series

The Theory of Functions of a Real Variable and the Theory of Fourier's Series PDF Author: Ernest William Hobson
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 791

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Book Description


Philosophy and Foundations of Mathematics

Philosophy and Foundations of Mathematics PDF Author: A. Heyting
Publisher: Elsevier
ISBN: 1483278158
Category : Mathematics
Languages : en
Pages : 645

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Book Description
L.E.J. Brouwer: Collected Works, Volume 1: Philosophy and Foundations of Mathematics focuses on the principles, operations, and approaches promoted by Brouwer in studying the philosophy and foundations of mathematics. The publication first ponders on the construction of mathematics. Topics include arithmetic of integers, negative numbers, measurable continuum, irrational numbers, Cartesian geometry, similarity group, characterization of the linear system of the Cartesian or Euclidean and hyperbolic space, and non-Archimedean uniform groups on the one-dimensional continuum. The book then examines mathematics and experience and mathematics and logic. Topics include denumerably unfinished sets, continuum problem, logic of relations, consistency proofs for formal systems independent of their interpretation, infinite numbers, and problems of space and time. The text is a valuable reference for students, mathematicians, and researchers interested in the contributions of Brouwer in the studies on the philosophy and foundations of mathematics.

The Theory of Sets of Points

The Theory of Sets of Points PDF Author: W. H. Young
Publisher: American Mathematical Soc.
ISBN: 1470409623
Category : Mathematics
Languages : en
Pages : 346

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Book Description
From the Preface to the first edition (1906): "A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole."

Lectures on Fundamental Concepts of Algebra and Geometry [microform]

Lectures on Fundamental Concepts of Algebra and Geometry [microform] PDF Author: John Wesley Young
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 268

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Book Description


Including a Symposium on the Historical Epistemology of Economics

Including a Symposium on the Historical Epistemology of Economics PDF Author: Luca Fiorito
Publisher: Emerald Group Publishing
ISBN: 1787145387
Category : Business & Economics
Languages : en
Pages : 213

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Book Description
Volume 35A of Research in the History of Economic Thought and Methodology features a symposium on historical epistemology. An internationally renowned cast of contributors offers a variety of perspectives on one of the major approaches in empirical philosophy of science and the historiography of economic thought.

Number and Numbers

Number and Numbers PDF Author: Alain Badiou
Publisher: Polity
ISBN: 0745638791
Category : Mathematics
Languages : en
Pages : 251

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Book Description
The political regime of global capitalism reduces the world to an endless network of numbers within numbers, but how many of us really understand what numbers are? Without such an understanding, how can we challenge the regime of number? In Number and Numbers Alain Badiou offers an philosophically penetrating account with a powerful political subtext of the attempts that have been made over the last century to define the special status of number. Badiou argues that number cannot be defined by the multiform calculative uses to which numbers are put, nor is it exhausted by the various species described by number theory. Drawing on the mathematical theory of surreal numbers, he develops a unified theory of Number as a particular form of being, an infinite expanse to which our access remains limited. This understanding of Number as being harbours important philosophical truths about the structure of the world in which we live. In Badiou's view, only by rigorously thinking through Number can philosophy offer us some hope of breaking through the dense and apparently impenetrable capitalist fabric of numerical relations. For this will finally allow us to point to that which cannot be numbered: the possibility of an event that would deliver us from our unthinking subordination of number.

Hermathena

Hermathena PDF Author:
Publisher:
ISBN:
Category : Humanities
Languages : en
Pages : 540

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Book Description


Principia Mathematica

Principia Mathematica PDF Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696

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Book Description


Annals of Mathematics

Annals of Mathematics PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 446

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Book Description