Frege on intuition and objecthood in projective geometry

被引：3

作者：

Eder, Guenther ^{[1
]}

机构：

[1] Univ Vienna, Dept Philosophy, Univ Str 7, A-1010 Vienna, Austria

来源：

SYNTHESE | 2021年 / 199卷 / 3-4期

基金：

奥地利科学基金会;

关键词：

Frege; Nineteenth century geometry; Projective geometry; Intuition;

D O I：

10.1007/s11229-021-03080-0

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

In recent years, several scholars have been investigating Frege's mathematical background, especially in geometry, in order to put his general views on mathematics and logic into proper perspective. In this article I want to continue this line of research and study Frege's views on geometry in their own right by focussing on his views on a field which occupied center stage in nineteenth century geometry, namely, projective geometry.

引用

页码：6523 / 6561

页数：39

共 50 条

[41] Functional repair codes: a view from projective geometry [J].

Siaw-Lynn Ng ;

Maura B. Paterson .

Designs, Codes and Cryptography, 2019, 87 :2701-2722

[42] Image Sequences Synchronization by Using Projective Geometry Properties [J].

Ozuag, Ersin ;

Erturk, Sarp .

2015 23RD SIGNAL PROCESSING AND COMMUNICATIONS APPLICATIONS CONFERENCE (SIU), 2015, :2337-2340

[43] Automated fixture configuration using projective geometry approach [J].

Trappey, Amy J. C. ;

Liu, C. Richard .

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 1993, 8 (05) :297-304

[44] Functional repair codes: a view from projective geometry [J].

Ng, Siaw-Lynn ;

Paterson, Maura B. .

DESIGNS CODES AND CRYPTOGRAPHY, 2019, 87 (11) :2701-2722

[45] Projective Geometry in Logical Space: Rethinking Tractarian Thoughts [J].

Acuna, Pablo .

INTERNATIONAL JOURNAL OF PHILOSOPHICAL STUDIES, 2018, 26 (01) :1-23

[46] Using a Grassmann Graph to Recover the Underlying Projective Geometry [J].

Seong, Ian .

GRAPHS AND COMBINATORICS, 2024, 40 (04)

[47] The Controversy Surrounding the Application of Projective Geometry to Stereo Vision [J].

Basta, Tayeb .

PROCEEDINGS OF THE 2019 5TH INTERNATIONAL CONFERENCE ON COMPUTER AND TECHNOLOGY APPLICATIONS (ICCTA 2019), 2019, :15-19

[48] A note on balanced incomplete block designs and projective geometry [J].

Deveci, Omur ;

Shannon, Anthony G. .

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2021, 52 (05) :807-813

[49] Using projective geometry to recover planar surfaces in stereovision [J].

Chabbi, H ;

Berger, MO .

PATTERN RECOGNITION, 1996, 29 (04) :533-548

[50] Projective geometry for three-dimensional computer vision [J].

Elias, R .

7TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL V, PROCEEDINGS: COMPUTER SCIENCE AND ENGINEERING: I, 2003, :99-104

← 1 2 3 4 5 →