語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
到查詢結果
[ subject:"Peirce, Charles S." ]
切換:
標籤
|
MARC模式
|
ISBD
Diagrams, visual imagination, and continuity in Peirce's philosophy of mathematics
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Diagrams, visual imagination, and continuity in Peirce's philosophy of mathematicsby Vitaly Kiryushchenko.
作者:
Kiryushchenko, Vitaly.
出版者:
Cham :Springer International Publishing :2023.
面頁冊數:
1 online resource (x, 172 p.) :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
MathematicsPhilosophy.
電子資源:
https://doi.org/10.1007/978-3-031-23245-9
ISBN:
9783031232459$q(electronic bk.)
Diagrams, visual imagination, and continuity in Peirce's philosophy of mathematics
Kiryushchenko, Vitaly.
Diagrams, visual imagination, and continuity in Peirce's philosophy of mathematics
[electronic resource] /by Vitaly Kiryushchenko. - Cham :Springer International Publishing :2023. - 1 online resource (x, 172 p.) :ill., digital ;24 cm. - Mathematics in mind,2522-5413. - Mathematics in mind..
1. Introduction -- 2. Meritocratism, Errors, and the Community of Inquiry -- 3. Logic and Mathematics -- 4. Peirce's Transcendental Deduction -- 5. Sign Relation. - 6 One, Two, Three -- 7. Iconicity and Novelty -- 8. The General and the Particular -- 9. Diagrams Between Images and Schema -- 10. Existential Graphs -- 11. Iconicity, Similarity, and Habitual Action -- 12. Mapping Philosophy -- 13. L'Image-Mouvement, Mathematically Sublime, and the Perception of Totality -- 14. The Metaphysics of Continuity -- 15. Conclusion.
This book is about the relationship between necessary reasoning and visual experience in Charles S. Peirce's mathematical philosophy. It presents mathematics as a science that presupposes a special imaginative connection between our responsiveness to reasons and our most fundamental perceptual intuitions about space and time. Central to this view on the nature of mathematics is Peirce's idea of diagrammatic reasoning. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of the very process of the reasoning itself. Thus conceived, one's capacity to diagram their thought reveals a set of characteristics common to ordinary language, visual perception, and necessary mathematical reasoning. The book offers an original synthetic approach that allows tracing the roots of Peirce's conception of a diagram in certain patterns of interrelation between his semiotics, his pragmaticist philosophy, his logical and mathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician.
ISBN: 9783031232459$q(electronic bk.)
Standard No.: 10.1007/978-3-031-23245-9doiSubjects--Personal Names:
399081
Peirce, Charles S.
1839-1914.Subjects--Topical Terms:
187658
Mathematics
--Philosophy.
LC Class. No.: QA8.4
Dewey Class. No.: 510.1
Diagrams, visual imagination, and continuity in Peirce's philosophy of mathematics
LDR
:02800nmm a2200361 a 4500
001
638056
003
DE-He213
005
20230512213656.0
006
m d
007
cr nn 008maaau
008
230921s2023 sz s 0 eng d
020
$a
9783031232459$q(electronic bk.)
020
$a
9783031232442$q(paper)
024
7
$a
10.1007/978-3-031-23245-9
$2
doi
035
$a
978-3-031-23245-9
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA8.4
072
7
$a
PBCD
$2
bicssc
072
7
$a
PBC
$2
bicssc
072
7
$a
MAT018000
$2
bisacsh
072
7
$a
PBCD
$2
thema
072
7
$a
PBC
$2
thema
082
0 4
$a
510.1
$2
23
090
$a
QA8.4
$b
.K61 2023
100
1
$a
Kiryushchenko, Vitaly.
$3
944654
245
1 0
$a
Diagrams, visual imagination, and continuity in Peirce's philosophy of mathematics
$h
[electronic resource] /
$c
by Vitaly Kiryushchenko.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2023.
300
$a
1 online resource (x, 172 p.) :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Mathematics in mind,
$x
2522-5413
505
0
$a
1. Introduction -- 2. Meritocratism, Errors, and the Community of Inquiry -- 3. Logic and Mathematics -- 4. Peirce's Transcendental Deduction -- 5. Sign Relation. - 6 One, Two, Three -- 7. Iconicity and Novelty -- 8. The General and the Particular -- 9. Diagrams Between Images and Schema -- 10. Existential Graphs -- 11. Iconicity, Similarity, and Habitual Action -- 12. Mapping Philosophy -- 13. L'Image-Mouvement, Mathematically Sublime, and the Perception of Totality -- 14. The Metaphysics of Continuity -- 15. Conclusion.
520
$a
This book is about the relationship between necessary reasoning and visual experience in Charles S. Peirce's mathematical philosophy. It presents mathematics as a science that presupposes a special imaginative connection between our responsiveness to reasons and our most fundamental perceptual intuitions about space and time. Central to this view on the nature of mathematics is Peirce's idea of diagrammatic reasoning. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of the very process of the reasoning itself. Thus conceived, one's capacity to diagram their thought reveals a set of characteristics common to ordinary language, visual perception, and necessary mathematical reasoning. The book offers an original synthetic approach that allows tracing the roots of Peirce's conception of a diagram in certain patterns of interrelation between his semiotics, his pragmaticist philosophy, his logical and mathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician.
600
1 0
$a
Peirce, Charles S.
$q
(Charles Sanders),
$d
1839-1914.
$3
399081
650
0
$a
Mathematics
$x
Philosophy.
$3
187658
650
0
$a
Reasoning.
$3
186192
650
1 4
$a
Mathematical Logic and Foundations.
$3
274479
650
2 4
$a
Mathematics Education.
$3
274700
650
2 4
$a
Philosophy of Mathematics.
$3
745264
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer Nature eBook
830
0
$a
Mathematics in mind.
$3
798183
856
4 0
$u
https://doi.org/10.1007/978-3-031-23245-9
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000225480
電子館藏
1圖書
電子書
EB QA8.4 .K61 2023 2023
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
https://doi.org/10.1007/978-3-031-23245-9
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入