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Hilbert's Programs and Beyond

Sieg Wilfried
Innbundet / 2013 / Engelsk

Produktdetaljer

ISBN
9780195372229
Publisert
2013
Utgiver
Vendor
Oxford University Press Inc
Vekt
797 gr
Høyde
168 mm
Bredde
239 mm
Dybde
38 mm
Aldersnivå
UP, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
464

Forfatter
Sieg Wilfried

Om bidragsyterne

Wilfried Sieg is the Patrick Suppes Professor of Philosophy at Carnegie Mellon University. He received his Ph.D. from Stanford University in 1977. From 1977 to 1985, he was Assistant and Associate Professor at Columbia University. In 1985, he joined the Carnegie Mellon faculty as a founding member of the University's Philosophy Department and served as its Head from 1994 to 2005. He is internationally known for mathematical work in proof theory, historical work on modern logic and mathematics, and philosophical essays on the nature of mathematics. Sieg is a Fellow of the American Academy of Arts and Sciences.

Hilbert's Programs and Beyond

Sieg Wilfried
Innbundet / 2013 / Engelsk
Sieg Wilfried
Innbundet / 2013 / Engelsk
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[T]his collection is rich in both historical detail and philosophical ideas, living up to Sieg's exhortations for philosophy of mathematics to integrate conceptual, technical, and historical aspects into its perspective.

Oran Magal, Philosophia Mathematica

Anyone who has at least a passing interest in the philosophy of mathematics, the relatively recent history of mathematics, mathematical logic (especially proof theory), the growth of ideas in mathematics, or the foundations of mathematics, will find this essential reading. Sieg is a major scholar in all of these areas, and he has shown, throughout his career, how work in any of these areas illuminates all of them.

Stewart Shapiro, Notre Dame Philosophical Reviews

Hilbert's Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilbert's work to the radical transformation of mathematics in the 19th century and bring out his pivotal role in creating mathematical logic and proof theory. They then analyze techniques and results of "classical" proof theory as well as their dramatic expansion in modern proof theory. This intellectual experience finally opens horizons for reflection on the nature of mathematics in the 21st century: Sieg articulates his position of reductive structuralism and explores mathematical capacities via computational models.
Les mer
David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations.
Les mer
INTRODUCTION; I. MATHEMATICAL ROOTS; II. ANALYSES; HISTORICAL; SYSTEMATICAL; III. PHILOSOPHICAL HORIZONS
"Anyone who has at least a passing interest in the philosophy of mathematics, the relatively recent history of mathematics, mathematical logic (especially proof theory), the growth of ideas in mathematics, or the foundations of mathematics, will find this essential reading. Sieg is a major scholar in all of these areas, and he has shown, throughout his career, how work in any of these areas illuminates all of them."--Stewart Shapiro, Notre Dame Philosophical Reviews "Certainly mathematical logicians with a historical bent will eat [Hilbert's Programs and Beyond] all up like candy. But others will, too. It is, or at least should be, the case that all of us have some awareness of the controversies of the early 20th century and the role they played in bringing about the shape of contemporary mathematics. ... To revisit these themes and explore certain of their facets in great detail is a beneficial and pleasant experience." --MAA Reviews
Les mer
Selling point: Hilbert's foundational work is seen as deeply rooted in the radical transformation of mathematics during the 19th century; his methodological attitude can be refined and extended to bridge the chasm between a Platonist and Constructivist philosophy of mathematics. Selling point: This novel perspective on Hilbert's foundational work is informed by detailed examination of archival sources, original mathematical contributions, and broad philosophical reflection.
Les mer
Wilfried Sieg is the Patrick Suppes Professor of Philosophy at Carnegie Mellon University. He received his Ph.D. from Stanford University in 1977. From 1977 to 1985, he was Assistant and Associate Professor at Columbia University. In 1985, he joined the Carnegie Mellon faculty as a founding member of the University's Philosophy Department and served as its Head from 1994 to 2005. He is internationally known for mathematical work in proof theory, historical work on modern logic and mathematics, and philosophical essays on the nature of mathematics. Sieg is a Fellow of the American Academy of Arts and Sciences.
Les mer
Selling point: Hilbert's foundational work is seen as deeply rooted in the radical transformation of mathematics during the 19th century; his methodological attitude can be refined and extended to bridge the chasm between a Platonist and Constructivist philosophy of mathematics. Selling point: This novel perspective on Hilbert's foundational work is informed by detailed examination of archival sources, original mathematical contributions, and broad philosophical reflection.
Les mer

Relaterte produkter

[T]his collection is rich in both historical detail and philosophical ideas, living up to Sieg's exhortations for philosophy of mathematics to integrate conceptual, technical, and historical aspects into its perspective.

Oran Magal, Philosophia Mathematica

Anyone who has at least a passing interest in the philosophy of mathematics, the relatively recent history of mathematics, mathematical logic (especially proof theory), the growth of ideas in mathematics, or the foundations of mathematics, will find this essential reading. Sieg is a major scholar in all of these areas, and he has shown, throughout his career, how work in any of these areas illuminates all of them.

Stewart Shapiro, Notre Dame Philosophical Reviews

Hilbert's Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilbert's work to the radical transformation of mathematics in the 19th century and bring out his pivotal role in creating mathematical logic and proof theory. They then analyze techniques and results of "classical" proof theory as well as their dramatic expansion in modern proof theory. This intellectual experience finally opens horizons for reflection on the nature of mathematics in the 21st century: Sieg articulates his position of reductive structuralism and explores mathematical capacities via computational models.
Les mer
David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations.
Les mer
INTRODUCTION; I. MATHEMATICAL ROOTS; II. ANALYSES; HISTORICAL; SYSTEMATICAL; III. PHILOSOPHICAL HORIZONS
"Anyone who has at least a passing interest in the philosophy of mathematics, the relatively recent history of mathematics, mathematical logic (especially proof theory), the growth of ideas in mathematics, or the foundations of mathematics, will find this essential reading. Sieg is a major scholar in all of these areas, and he has shown, throughout his career, how work in any of these areas illuminates all of them."--Stewart Shapiro, Notre Dame Philosophical Reviews "Certainly mathematical logicians with a historical bent will eat [Hilbert's Programs and Beyond] all up like candy. But others will, too. It is, or at least should be, the case that all of us have some awareness of the controversies of the early 20th century and the role they played in bringing about the shape of contemporary mathematics. ... To revisit these themes and explore certain of their facets in great detail is a beneficial and pleasant experience." --MAA Reviews
Les mer
Selling point: Hilbert's foundational work is seen as deeply rooted in the radical transformation of mathematics during the 19th century; his methodological attitude can be refined and extended to bridge the chasm between a Platonist and Constructivist philosophy of mathematics. Selling point: This novel perspective on Hilbert's foundational work is informed by detailed examination of archival sources, original mathematical contributions, and broad philosophical reflection.
Les mer
Wilfried Sieg is the Patrick Suppes Professor of Philosophy at Carnegie Mellon University. He received his Ph.D. from Stanford University in 1977. From 1977 to 1985, he was Assistant and Associate Professor at Columbia University. In 1985, he joined the Carnegie Mellon faculty as a founding member of the University's Philosophy Department and served as its Head from 1994 to 2005. He is internationally known for mathematical work in proof theory, historical work on modern logic and mathematics, and philosophical essays on the nature of mathematics. Sieg is a Fellow of the American Academy of Arts and Sciences.
Les mer
Selling point: Hilbert's foundational work is seen as deeply rooted in the radical transformation of mathematics during the 19th century; his methodological attitude can be refined and extended to bridge the chasm between a Platonist and Constructivist philosophy of mathematics. Selling point: This novel perspective on Hilbert's foundational work is informed by detailed examination of archival sources, original mathematical contributions, and broad philosophical reflection.
Les mer

Produktdetaljer

ISBN
9780195372229
Publisert
2013
Utgiver
Vendor
Oxford University Press Inc
Vekt
797 gr
Høyde
168 mm
Bredde
239 mm
Dybde
38 mm
Aldersnivå
UP, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
464

Forfatter
Sieg Wilfried

Om bidragsyterne

Wilfried Sieg is the Patrick Suppes Professor of Philosophy at Carnegie Mellon University. He received his Ph.D. from Stanford University in 1977. From 1977 to 1985, he was Assistant and Associate Professor at Columbia University. In 1985, he joined the Carnegie Mellon faculty as a founding member of the University's Philosophy Department and served as its Head from 1994 to 2005. He is internationally known for mathematical work in proof theory, historical work on modern logic and mathematics, and philosophical essays on the nature of mathematics. Sieg is a Fellow of the American Academy of Arts and Sciences.

Relaterte produkter