The Imaginary in Mathematics

Stefania Centrone

doi:10.1007/978-90-481-3246-1_3

The Imaginary in Mathematics

Stefania Centrone

Universität Hamburg

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The main aim of this chapter is to present both an “analytical” and an “internal” reading of Husserl’s Doppelvortrag, the lecture he presented to the Mathematische Gesellschaft in Göttingen in the winter semester of 1901/02. We will propose a formal reconstruction of some of the main results contained in the Doppelvortrag wherever a mathematical definition of the concepts helps to clarify Husserl’s own ideas.

Original language	English
Title of host publication	Synthese Library
Publisher	Springer Science and Business Media B.V.
Pages	149-213
Number of pages	65
DOIs	https://doi.org/10.1007/978-90-481-3246-1_3
State	Published - 2010
Externally published	Yes

Publication series

Name	Synthese Library
Volume	345
ISSN (Print)	0166-6991
ISSN (Electronic)	2542-8292

Keywords

Axiomatic Condition
Deductive System
Determinate Object
Numerical System
Transcendental Logic

Access to Document

10.1007/978-90-481-3246-1_3

Cite this

@inbook{6af4ca0747c54e64ae4d39a569c4056f,

title = "The Imaginary in Mathematics",

abstract = "The main aim of this chapter is to present both an “analytical” and an “internal” reading of Husserl{\textquoteright}s Doppelvortrag, the lecture he presented to the Mathematische Gesellschaft in G{\"o}ttingen in the winter semester of 1901/02. We will propose a formal reconstruction of some of the main results contained in the Doppelvortrag wherever a mathematical definition of the concepts helps to clarify Husserl{\textquoteright}s own ideas.",

keywords = "Axiomatic Condition, Deductive System, Determinate Object, Numerical System, Transcendental Logic",

author = "Stefania Centrone",

note = "Publisher Copyright: {\textcopyright} 2009, Springer Science+Business Media B.V.",

year = "2010",

doi = "10.1007/978-90-481-3246-1_3",

language = "English",

series = "Synthese Library",

publisher = "Springer Science and Business Media B.V.",

pages = "149--213",

booktitle = "Synthese Library",

}

TY - CHAP

T1 - The Imaginary in Mathematics

AU - Centrone, Stefania

PY - 2010

Y1 - 2010

N2 - The main aim of this chapter is to present both an “analytical” and an “internal” reading of Husserl’s Doppelvortrag, the lecture he presented to the Mathematische Gesellschaft in Göttingen in the winter semester of 1901/02. We will propose a formal reconstruction of some of the main results contained in the Doppelvortrag wherever a mathematical definition of the concepts helps to clarify Husserl’s own ideas.

AB - The main aim of this chapter is to present both an “analytical” and an “internal” reading of Husserl’s Doppelvortrag, the lecture he presented to the Mathematische Gesellschaft in Göttingen in the winter semester of 1901/02. We will propose a formal reconstruction of some of the main results contained in the Doppelvortrag wherever a mathematical definition of the concepts helps to clarify Husserl’s own ideas.

KW - Axiomatic Condition

KW - Deductive System

KW - Determinate Object

KW - Numerical System

KW - Transcendental Logic

UR - http://www.scopus.com/inward/record.url?scp=85117087193&partnerID=8YFLogxK

U2 - 10.1007/978-90-481-3246-1_3

DO - 10.1007/978-90-481-3246-1_3

M3 - Chapter

AN - SCOPUS:85117087193

T3 - Synthese Library

SP - 149

EP - 213

BT - Synthese Library

PB - Springer Science and Business Media B.V.

ER -

The Imaginary in Mathematics

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Cite this