Cambridge University Press (1987)
Abstract |
This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, with comparisons between the various approaches included where appropriate. Constructive mathematics is now enjoying a revival, with interest from not only logicans but also category theorists, recursive function theorists and theoretical computer scientists. This account for non-specialists in these and other disciplines.
|
Keywords | Constructive mathematics |
Categories | (categorize this paper) |
Buy this book |
Find it on Amazon.com
|
Call number | QA9.56.B75 1987 |
ISBN(s) | 0521318025 9780521318020 |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
No references found.
Citations of this work BETA
Recognizing Argument Types and Adding Missing Reasons.Christoph Lumer - 2019 - In Bart J. Garssen, David Godden, Gordon Mitchell & Jean Wagemans (eds.), Proceedings of the Ninth Conference of the International Society for the Study of Argumentation (ISSA). [Amsterdam, July 3-6, 2018.]. Amsterdam (Netherlands): pp. 769-777.
Bounded Functional Interpretation.Fernando Ferreira & Paulo Oliva - 2005 - Annals of Pure and Applied Logic 135 (1):73-112.
Real Analysis in Paraconsistent Logic.Maarten McKubre-Jordens & Zach Weber - 2012 - Journal of Philosophical Logic 41 (5):901-922.
View all 44 citations / Add more citations
Similar books and articles
Five Papers on Logic and Foundations.G. S. Ceitin (ed.) - 1971 - Providence, R.I., American Mathematical Society.
Constructive Mathematics in Theory and Programming Practice.Douglas Bridges & Steeve Reeves - 1999 - Philosophia Mathematica 7 (1):65-104.
From Sets and Types to Topology and Analysis: Towards Practicable Foundations for Constructive Mathematics.Laura Crosilla & Peter Schuster (eds.) - 2005 - Oxford, England: Oxford University Press.
Did Bishop Have a Philosophy of Mathematics?Helen Billinge - 2003 - Philosophia Mathematica 11 (2):176-194.
A Constructive Look at the Completeness of the Space $\mathcal{D} (\mathbb{R})$.Hajime Ishihara & Satoru Yoshida - 2002 - Journal of Symbolic Logic 67 (4):1511-1519.
On the Foundations of Constructive Mathematics – Especially in Relation to the Theory of Continuous Functions.Frank Waaldijk - 2004 - Foundations of Science 10 (3):249-324.
Relationships Between Constructive, Predicative and Classical Systems of Analysis.Solomon Feferman - unknown
Questioning Constructive Reverse Mathematics.I. Loeb - 2012 - Constructivist Foundations 7 (2):131-140.
Analytics
Added to PP index
2009-01-28
Total views
48 ( #234,244 of 2,499,742 )
Recent downloads (6 months)
1 ( #418,066 of 2,499,742 )
2009-01-28
Total views
48 ( #234,244 of 2,499,742 )
Recent downloads (6 months)
1 ( #418,066 of 2,499,742 )
How can I increase my downloads?
Downloads