語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Space, Number, and Geometry from Hel...
~
Biagioli, Francesca.
Space, Number, and Geometry from Helmholtz to Cassirer
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Space, Number, and Geometry from Helmholtz to Cassirer/ by Francesca Biagioli.
作者:
Biagioli, Francesca.
面頁冊數:
XX, 239 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Philosophy. -
電子資源:
https://doi.org/10.1007/978-3-319-31779-3
ISBN:
9783319317793
Space, Number, and Geometry from Helmholtz to Cassirer
Biagioli, Francesca.
Space, Number, and Geometry from Helmholtz to Cassirer
[electronic resource] /by Francesca Biagioli. - 1st ed. 2016. - XX, 239 p.online resource. - Archimedes, New Studies in the History and Philosophy of Science and Technology,461385-0180 ;. - Archimedes, New Studies in the History and Philosophy of Science and Technology,40.
Helmholtz’s Relationship to Kant -- The Discussion of Kant’s 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 Einstein’s General Relativity: Cassirer’s View in 1921.
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 Einstein’s 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 Helmholtz’s 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 Cohen’s account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer’s 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.
ISBN: 9783319317793
Standard No.: 10.1007/978-3-319-31779-3doiSubjects--Topical Terms:
559771
Philosophy.
LC Class. No.: B108-5802
Dewey Class. No.: 180-190
Space, Number, and Geometry from Helmholtz to Cassirer
LDR
:03461nam a22004095i 4500
001
974538
003
DE-He213
005
20200703221339.0
007
cr nn 008mamaa
008
201211s2016 gw | s |||| 0|eng d
020
$a
9783319317793
$9
978-3-319-31779-3
024
7
$a
10.1007/978-3-319-31779-3
$2
doi
035
$a
978-3-319-31779-3
050
4
$a
B108-5802
072
7
$a
HPC
$2
bicssc
072
7
$a
PHI009000
$2
bisacsh
072
7
$a
QDH
$2
thema
082
0 4
$a
180-190
$2
23
100
1
$a
Biagioli, Francesca.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1113126
245
1 0
$a
Space, Number, and Geometry from Helmholtz to Cassirer
$h
[electronic resource] /
$c
by Francesca Biagioli.
250
$a
1st ed. 2016.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2016.
300
$a
XX, 239 p.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Archimedes, New Studies in the History and Philosophy of Science and Technology,
$x
1385-0180 ;
$v
46
505
0
$a
Helmholtz’s Relationship to Kant -- The Discussion of Kant’s 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 Einstein’s General Relativity: Cassirer’s View in 1921.
520
$a
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 Einstein’s 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 Helmholtz’s 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 Cohen’s account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer’s 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.
650
0
$a
Philosophy.
$3
559771
650
0
$a
Physics.
$3
564049
650
0
$a
Geometry.
$3
579899
650
1 4
$a
History of Philosophy.
$3
671574
650
2 4
$a
History and Philosophical Foundations of Physics.
$3
782545
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319317779
776
0 8
$i
Printed edition:
$z
9783319317786
776
0 8
$i
Printed edition:
$z
9783319811161
830
0
$a
Archimedes, New Studies in the History and Philosophy of Science and Technology,
$x
1385-0180 ;
$v
40
$3
1258052
856
4 0
$u
https://doi.org/10.1007/978-3-319-31779-3
912
$a
ZDB-2-REP
912
$a
ZDB-2-SXPR
950
$a
Religion and Philosophy (SpringerNature-41175)
950
$a
Philosophy and Religion (R0) (SpringerNature-43725)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入