Synthetic and analytic geometry

Egbert Brieskorn and Horst Knörrer
Additional contact information
Egbert Brieskorn: Universität Bonn, Mathematisches Institut
Horst Knörrer: Universität Bonn, Mathematisches Institut

Chapter 2 in Plane Algebraic Curves, 1986, pp 66-102 from Springer

Abstract: Abstract Human activity and thought are extremely complex historical processes, in which many conflicting tendencies unfold. This also holds for mathematics, in which the unfolding of these conflicts is an important element pushing development forwards. In the process of mathematical research, as well as in the mathematical method itself, dialectical conflicts are of fundamental significance : analytic-synthetic, axiomatic-constructive, exact-intuitive, abstract-concrete, special-general, simple-complex, finite-infinite, regular-singular, algebraic-geometric, qualitative-quantitative. All these conflicts have had a marked influence on many fields of mathematics. I cannot go further into details here, so I shall refer to my essay on dialectic in mathematics [B5], as well as to the article by Alexandroff in the same book.

Keywords: Singular Point; Algebraic Curve; Projective Geometry; Algebraic Curf; Conic Section (search for similar items in EconPapers)
Date: 1986
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-5097-1_2

Ordering information: This item can be ordered from
http://www.springer.com/9783034850971

DOI: 10.1007/978-3-0348-5097-1_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().