Cardinal

Space, Number, and Geometry from Helmholtz to Cassirer by Francesca Biagioli (En

Description: Space, Number, and Geometry from Helmholtz to Cassirer by Francesca Biagioli However, such later scientific developments as non-Euclidean geometries and Einsteins general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientific developments as non-Euclidean geometries and Einsteins general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtzs epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different strategies for a philosophical account of the same transformation from a neo-Kantian perspective, and especially Hermann Cohens account of the aprioricity of mathematics in terms of applicability and Ernst Cassirers reformulation of the a priori of space in terms of a system of hypotheses. This book is ideal for students, scholars and researchers who wish to broaden their knowledge of non-Euclidean geometry or neo-Kantianism. Back Cover This book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientific developments as non-Euclidean geometries and Einsteins general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincar Author Biography Francesca Biagioli completed her PhD in philosophy and history of science at the University of Turin, Italy, in 2012. Her areas of specialization are Kant, neo-Kantianism, and the history of philosophy of science in the 19th Century. She is the author of articles about the philosophy of science of neo-Kantians such as Hermann Cohen, Alois Riehl and Ernst Cassirer, and scientists and mathematicians such as Hermann von Helmholtz and Otto Hölder. Table of Contents Helmholtzs Relationship to Kant.- The Discussion of Kants Transcendental Aesthetic.- Axioms, Hypotheses, and Definitions.- Number and Magnitude.- Projective Metric and the Concept of Space.- Euclidean and Non-Euclidean Geometries in the Interpretation of Physical Measurements.- Non-Euclidean Geometry and Einsteins General Relativity: Cassirers View in 1921. Review "Francesca Biagiolis Space, Number, and Geometry from Helmholtz to Cassirer is a substantial and pathbreaking contribution to the energetic and growing field of researchers delving into the physics, physiology, psychology, and mathematics of the nineteenth and twentieth centuries. … It is a clear, accurate, and deep account of fascinating and philosophically momentous implications of the move to relativity theory." (Lydia Patton, Journal for General Philosophy of Science, Vol. 50, 2019) Review Quote "Francesca Biagiolis Space, Number, and Geometry from Helmholtz to Cassirer is a substantial and pathbreaking contribution to the energetic and growing field of researchers delving into the physics, physiology, psychology, and mathematics of the nineteenth and twentieth centuries. ... It is a clear, accurate, and deep account of fascinating and philosophically momentous implications of the move to relativity theory." (Lydia Patton, Journal for General Philosophy of Science, Vol. 50, 2019) Feature Offers a new historical reconstruction of the philosophical debate on non-Euclidean geometry in neo-Kantianism Brings a new approach to Helmholtzs philosophy of mathematics Relevance for the current debate about the relativized a priori Details ISBN3319811169 Author Francesca Biagioli ISBN-10 3319811169 ISBN-13 9783319811161 Format Paperback Series Archimedes Year 2018 DEWEY 516 Pages 239 Imprint Springer International Publishing AG Place of Publication Cham Country of Publication Switzerland Publication Date 2018-06-09 Language English Series Number 46 UK Release Date 2018-06-09 Illustrations XX, 239 p. Publisher Springer International Publishing AG Edition Description Softcover reprint of the original 1st ed. 2016 Alternative 9783319317779 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:118616690;

Price: 199.02 AUD

Location: Melbourne

End Time: 2024-12-14T07:24:00.000Z

Shipping Cost: 53.46 AUD

Product Images

Space, Number, and Geometry from Helmholtz to Cassirer by Francesca Biagioli (En

Item Specifics

Restocking fee: No

Return shipping will be paid by: Buyer

Returns Accepted: Returns Accepted

Item must be returned within: 30 Days

ISBN-13: 9783319811161

Book Title: Space, Number, and Geometry from Helmholtz to Cassirer

Item Height: 235mm

Item Width: 155mm

Author: Francesca Biagioli

Format: Paperback

Language: English

Topic: Popular Philosophy, Mathematics, Physics

Publisher: Springer International Publishing Ag

Publication Year: 2018

Type: Textbook

Item Weight: 3985g

Number of Pages: 239 Pages

Recommended

Investigations In Numbers, Data, and Space Grade 1 Curriculum Unit Package
Investigations In Numbers, Data, and Space Grade 1 Curriculum Unit Package

$50.00

View Details
TERC Math Investigations in Numbers, Data, and Space - Grade 4 - (Set of 10)
TERC Math Investigations in Numbers, Data, and Space - Grade 4 - (Set of 10)

$129.00

View Details
Investigations in Number, Data, and Space; Student Ma- 0328240915, Co, hardcover
Investigations in Number, Data, and Space; Student Ma- 0328240915, Co, hardcover

$3.99

View Details
Investigations in Number, Data, and Space, Grade 2: Curriculum Unit 7 Parts of a
Investigations in Number, Data, and Space, Grade 2: Curriculum Unit 7 Parts of a

$7.85

View Details
Investigations In Number, Data, & Space (CD-ROM) Digital Resources Grade  - NEW
Investigations In Number, Data, & Space (CD-ROM) Digital Resources Grade - NEW

$5.99

View Details
Free-Flying in Space 30x44 Hand Numbered Edition Art Print of NASA Astronaut
Free-Flying in Space 30x44 Hand Numbered Edition Art Print of NASA Astronaut

$150.00

View Details
Space Family Robinson Lost In Space, number 29, August 1968, Gold Key
Space Family Robinson Lost In Space, number 29, August 1968, Gold Key

$14.40

View Details
1957 Topps Space Cards Number 64 Lunar Spaceport EX/MT
1957 Topps Space Cards Number 64 Lunar Spaceport EX/MT

$9.95

View Details
Terc Dale Seymour INVESTIGATIONS IN NUMBER DATA SPACE 1st Grade 1 LOT Bks Cards
Terc Dale Seymour INVESTIGATIONS IN NUMBER DATA SPACE 1st Grade 1 LOT Bks Cards

$34.99

View Details
4D 3MM LASER CUT LETTERS & NUMBERS - 700X LETTERS & PLATE SPACING JIG TRADE BULK
4D 3MM LASER CUT LETTERS & NUMBERS - 700X LETTERS & PLATE SPACING JIG TRADE BULK

$228.55

View Details