ISBN: 9780817638191

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians ponde… Mehr…

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties. | In Search of Infinity by N. Ya. Vilenkin Hardcover | Indigo Chapters | In Search of Infinity by N. Ya. Vilenkin Hardcover | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, N.Ya. Vilenkin<

ISBN: 9780817638191

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians ponde… Mehr…

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties. Books > Science & Nature > Math & Physics > Mathematics List_Books, [PU: Birkhäuser Verlag]<

ISBN: 9780817638191

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians ponde… Mehr…

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties., Birkhäuser<

ISBN: 9780817638191

Hardback, [PU: Birkhauser Boston Inc], The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars. This book p… Mehr…

Hardback, [PU: Birkhauser Boston Inc], The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars. This book presents an account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics., Mathematics, Philosophy Of Mathematics, Mathematical Foundations, Mathematical Logic, Set Theory, Algebra, Applied Mathematics, Science: General Issues, Astronomy, Space & Time, Theoretical & Mathematical Astronomy, Mathematical Physics<

1995, ISBN: 0817638199

[EAN: 9780817638191], Neubuch, [PU: Birkhäuser Boston], FINITE CLSMBC FUNCTION PHYSICS MATHEMATICS MATHEMATIK GRUNDLAGEN MATHEMATISCHE MATHEMATICAL LOGIC AND FOUNDATIONS ORDER, LATTICES,… Mehr…

[EAN: 9780817638191], Neubuch, [PU: Birkhäuser Boston], FINITE CLSMBC FUNCTION PHYSICS MATHEMATICS MATHEMATIK GRUNDLAGEN MATHEMATISCHE MATHEMATICAL LOGIC AND FOUNDATIONS ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES METHODS IN ASTRONOMY, ASTROPHYSICS COSMOLO, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung für Sie gedruckt. The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophe, Books<